The points (2, 3) (6, 3), and (2, 7) sides corresponds to length of 4 : 4 : 5 and do not form Pythagorean triple hence they do not form a right angle
How to determine if the points (2, 3) (6, 3), and (2, 7) form a right angleThe distance between the points is calculated and Pythagoras theorem is used to determine if the triple forms a right angle
let the points be
A (2, 3) B (6, 3), and C (2, 7)
using the equation
d = √{(x₁ - x₂)² + (y₁ - y₂)²}
AB = √{(2 - 6)² + (3 - 3)²} = 4
BC = √{(6 - 2)² + (3 - 7)²} = 5
CA = √{(2 - 2)² + (3 - 7)²} = 4
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0
O
13. Choose whether the slope of the line is positive, negative, zero, or undefined.
undefined
zero
negative
positive
The slope of the line is Positive
What is the Slope of a line:
The slope of a line is the rate of change of rising of the line and it is also defined as the steepness of the line. Slope of the line is denoted by “m.”
The slope of the line at different positions:
When we go from left to right on the graph if the line moves up then the slope of the line will be positive
When the line is parallel to the Horizontal axis i.e x-axis then the slope of the line will be zero
The slope of a line or the slope of the y-axis, that is parallel to the y-axis is undefined
From the given picture,
We can say that from left to right the given line is moving upwards
Therefore
From the above observation slope of the line is Positive
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find the area of the credit card width 3 1/3in length 2 1/4in
Answer:
Step-by-step explanation:
A=lw
= 21/4 in * 1/3in= 21/12 in.^2= 7/4in^2 or 7/4 inch squared
The theater director recorded the number of seats occupied at past performances and the total revenue per
performance.
After plotting her results, the director noticed that the relationship between the two variables was fairly linear,
so she used the data to calculate the following least squares regression equation for predicting the total
revenue, in dollars, from the number of seats occupied.
= -325 + 143
What is the residual of a performance with a revenue of $700 and 70 seats occupied ?
The residual of a theatre performance with a revenue of $700 and 70 seats occupied is 45.
What is the residual of the performance?From the information illustrated, the theater director recorded the number of seats occupied at past performances and the total revenue per performance.
The equation is given as:
y = -325 + 14x
y = actual performance for 70 seats occupied
For x = 70
y = -325 + 14x
= 325 + 14(70)
= -325 + 980
= 655
Therefore, the residual will be:
= 700 - 655
= 45
The residual is 45.
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ABCD is parallelogram. AED, CED and BCF are straight lines Find AED , DEF and CFE
By using the properties of parallelogram, it can be calculated that
[tex]\angle CFE = 30^{\circ}[/tex]
[tex]\angle[/tex]DEF = 70°
[tex]\angle AED = 110^{\circ}[/tex]
What is a parallelogram?
Parallelogram is a four sided two dimensional figure whose each pair of opposite sides are parallel.
Here, ABCD is a parallelogram
[tex]\angle CFE = 30^{\circ}[/tex] [Alternate angle]
[tex]140 = \angle CEF + \angle CFE[/tex] [ Exterior angle of a triangle is equal to the sum of two opposite interior angle]
[tex]\\\angle CEF = 140 - 30\\\angle CEF = 110^{\circ}[/tex]
[tex]\angle[/tex]DEF = 180 - 110 [ Angle on a straight line]
= 70°
[tex]\angle AED = 110^{\circ}[/tex] [Vertically opposite angle]
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Each costume for a dance group in a talent show requires 2 yards of black material and 3 yards of red material. The dance group has 30 yards of black material and 60 yards of red material.
What is the greatest number of costumes they can make?
The greatest number of costumes the dance group can make is 15.
What is the greatest number of costumes they can make?The mathematical operation that would be used to determine the answer is division. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
The first step is to determine the number of costumes that can be made given the total yards of black material.
Total costumes that can be made = total length available / length required for each costume
30 / 2= 15
The second step is to determine the number of costumes that can be made given the total yards of red material.
Total costumes that can be made = total length available / length required for each costume
60 / 3 = 20
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Tom bought a bag full of coal. After one week the bag was 2|3 full. During the next week he used of the remaining coal What fraction was left in the bag?
Answer:
None
Step-by-step explanation:
When he first bought the coal, it was full. After one week, he used 1/3, leaving the bag 2/3 full. If he used the remaining coal in the bag, that means he used all of the coal - all two thirds of it.
The fraction of coal left in the bag was zero or none since Tom used the remaining coal.
What is the reasoning?The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
The reasoning is a tricky but interesting problem in mathematics that requires relations of variables to solve.
As per the given,
After one week the bag was 2|3 full
Now remaining coal = 1 -2/3 = 1/3 part
Now, Tom used this remaining amount.
So, 1/3 - 1/3 = 0 part.
Hence "The fraction of coal left in the bag was zero or none since Tom used the remaining coal".
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which statements is true of the function f(x)= x2 + 6x3 - 4 + 2x5?
A. the function is positive for all values of x
B. the end behavior of the graph f(x) is similar to that of g(x) = -x
C.the graph has exactly one x-intercept
D. the function is increasing for all real numbers
The statements is true of the function f(x)= x^2 + 6x^3 - 4 + 2x^5 is C.the graph has exactly one x-intercept
How to show that the function has one interceptIt is shown that the function has one intercept in the x direction by plotting the graph of the polynomial
The graph showed one x intercept is at the coordinate (0.778, 0)
x intercept refers to the value of x when y is zero
The graph is plotted and attached
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Write 12.4% as a decimal and a simplified fraction.
O 1.24 and 124
1,000
31
O 0.124 and 250
O 1.24 and 31
250
O 0.124 and
124
1,000
Answers:
decimal form = 0.124
simplified fraction = 31/250
=========================================================
Explanation:
To convert from percent to decimal, we move the decimal point 2 spots to the left.
12.4% converts to the decimal form 0.124
Optionally you could use your calculator to say 12.4/100 = 0.124
--------
To convert from a terminating decimal to a fraction, we write the decimal digits over some power of 10. In this case, we write the "124" over 10^3 aka 1000. We write it over 1000 since the '4' is in the thousandths place value. Then reduce as much as possible.
124/1000 = (31*4)/(250*4) = 31/250 is the simplified fraction form
Use your calculator to see that 31/250 = 0.124 to confirm the answer.
Need help im so confused
please and thank you
Answer: It is b
Step-by-step explanation:
Answer: 126.5
Step-by-step explanation:
This is Pythagoras theorem so a² + b² = c²
c² is always the diagonal bit
The soccer field is rectangle and draw the route of the players on and you get the triangle
a = 120
b = 40
c² = a² + b² (square root after)
120² + 40² = 16000
Then square root that to get 126.5
I hoped this helped so please thank and rate :)
What is the inequality of the graph below?
The inequality of the graph represented in the figure is y ≥ 1/2x
How to determine the inequality of the graph?The graph represents the given parameter
On the graph, we have the following points
(x, y) = (0, 0) and (2, 1)
This can be re-expressed as
(x, y) = (2, 1)
The slope is then calculated as
Slope = y/x
This gives
Slope = 1/2
The equation is then calculated as
y = Slope * x
So, we have
y = 1/2x
On the graph, we can see that the upper part of the graph is shaded and the line is a thick line
This means that the inequality expression is ≥
So, we have
y ≥ 1/2x
Hence, the inequality of the graph is y ≥ 1/2x
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What is greater 1 1/2 or 1.456
Answer:
KentuckyCriedChickens
D. 4. A Jamaican Airline plane flew 1,200 miles southeast from Freeport Bahamas to San Juan Puerto Rico. The plane then flew 800 miles west to Montego Bay, Jamaica. The plane then flew north back to Freeport. To the nearest whole mile, how far did the plane fly from Montego Bay to Freeport? Bermada 1,200 miles Hast Dominican Bers 800 miles CARII WorldA Atlantic Ocean TUK
The flight of plane from Montego bay to freeport is 894 miles.
To solve this we use Pythagoras theorem.
What is Pythagoras theorem?
The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem.
Main Body:
Formula for Pythagoras theorem = [tex]P^{2} +B^{2}[/tex]= [tex]H^{2}[/tex]
here H = 1200
B= 800
P =?
solving this equation
1200² = 800²+P²
P²= 800000
P=[tex]\sqrt{800000}[/tex]
P ≈ 894 miles
Hence the distance of flight from Montego Bay to Freeport is 894 miles.
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Why are most streets designed in a way that they are perpendicular or parallel to each other? ...
The simple reason why streets are usually designed parallel or perpendicular to each other is because that pattern makes it easy for users to connect people easily.
What is meant by perpendicular and parallel streets?A perpendicular street can simply be defined as a street which intersect another streets. However, on the other end, two streets are said to be parallel to each other when they are in the same distance apart. The same is applicable in mathematics as a perpendicular line intercept another line and parallel lines don't meet.
That being said, when streets are parallel or perpendicularly designed, residents of the environment find it easy to communicate with each other. Business owners use this easy accessibility to easily describe their addresses to customers.
So therefore, it can be deduced from the given explanation above that when streets are designed with good planning, it makes people access it easily.
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Can anyone write the equation of this graph?
The absolute value equation graphed is defined by the rule given as follows:
y = |x - 3| + 6.
What is the function graphed?The function graphed is an absolute value equation, due to it's v format.
The equation that represents an absolute value function with vertex (h,k) is given by the rule presented as follows:
y = |x - h| + k.
On the graph, this vertex is the turning point of the absolute value function.
For the graphed function, the coordinates of the vertex are given as follows:
x = 3, as the turning point of the graphed function has an horizontal coordinate of 3, hence h = x = 3.y = 6, as the turning point of the graphed function has a vertical coordinate of 6, hence k = y = 6.Then the coordinates of the vertex are:
(3,6).
The equation of the graphed absolute value function is:
y = |x - 3| + 6.
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Warren has 40 coins (all nickels, dimes, and quarters) worth $4.05. He has 7 more nickels than dimes. How many quarters does Warren have?
Please provide a detailed explanation and steps on how to do
If he has 7 more nickels than dimes. The number of quarters that Warren have is 7.
How to determine the number of quarters?Let coins be:
n + d + q = 40
Where;
n = nickels
d =dimes
q = quarters
Hence,
.05n + .10d + .25q = 4.05
n = d + 7
Substitute (d+7) for n
(d+7) + d + q = 40
2d + q = 40 - 7
2d + q = 33
q = (33-2d)
So,
.05(d+7) + .10d + .25q = 4.05
.05d + .35 + .10d + .25q = 4.05
15d + .25q = 4.05 - .35
.15d + .25d = 3.70
Substitute (33-2d) for q
.15d + .25(33-2d) = 3.70
.15d + 8.25 - .5d = 3.70
.15d -.5d = 3.70 - 8.25
-.35d = -4.55
Divide both side by -/35d
d = -4.55 / -.35
d = 13 dimes
Nickels
n = d+7 where d is 13
n = 13 + 7
n = 20 nickels
Quarters
q = (33-2d)
q = 33 - 2(13)
q = 33 - 26
q = 7 quarters
Therefore 7 is the quarters.
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9.
X
22
9. W
Y
36%
(4w+14)
R
36%
In the given figure, w= 27
What is the Side Angle Side theorem?The two triangles are congruent if the two sides of one triangle are equal to the two sides of another triangle and the angles formed by the two sides of each triangle are equal. The "Side-Angle-Side" triangle congruence theorem is referred to as the SAS Criterion.The Side-Angle-Side theorem of congruency states that, if two sides and the angle formed by these two sides are equal to two sides and the included angle of another triangle, then these triangles are said to be congruent.Verification:
Let's perform an activity to show the proof of SAS. Given: AB=PQ, BC=QR, and ∠B=∠Q. To prove: ΔABC ≅ ΔPQRPlacing the triangle ABC over triangle QPR will cause B to fall on Q and the AB side to coincide with the PQ side.Point A falls on point P because of AB=PQ.The side BC will fall along the side QR since B=Q.Point C is in line with point R since BC=QR. As a result, BC and QR coincide, while AC and PR coincide.ABC will therefore match QPR. Consequently, ABCPQR. This exemplifies the SAS congruence criterion.Solution
From SAS
XY=QP and YZ=QR
therefore ∠Y = ∠Q
since the interior angles of the triangle are supplementary
∠Y + ∠X +∠Z = 180
∠Y + 22 + 36 = 180
∠Y = 180 - 58 = 122
therefore, ∠Q is also equal to 122
and (4w+ 14) =122
122 - 14 = 4w
108 = 4w
w = 108/4 = 27
Hence, from the SAS criterion
w is equal to 27
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A recipe requires 4 1/2 cups of milk for every 2/3 of a cup of flour. What is the ratio of cups of milk to one cup of flour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
PLEASE HELP!!!
John needs a total of $100 to buy a birthday present for his friend. He has already saved $35. If he saves $10 a week from his earnings what is the least number of weeks he must work to have enough money to buy the present?
Answer: D) 7
Step-by-step explanation:
First put this into an equation as shown
f(x)=10x
The 10 is for the money he makes and the x is the amount of weeks
then take the 35 dollars he already saved and put it into an equation as shown
35+f(7)
the f(7) is just another way to say y=10(7) (f(x) is just y but fancy lol)
7 is the number of weeks he can work to get 105. It can't be 6 because that would be 95 dollars and it can technically be 8 but the question ask for the least number of weeks.
Hope that helped. It may have been a bit complicated.
Answer:5
Step-by-step explanation:
10x7=70
35+70=105
Find the value of the variables in the figure.
The value of the variables in figure x and y are 14 and 28.5 respectively.
What is linear pair?Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
We have been given the following parameters;
The two lines a and b are parallel to each other.
Therefore, Angle (5x - 7) and Angle (3x + 17) are the same because of alternate interior angles.
Thus, (5x - 7) = (3x + 17)
Solving;
(5x - 7) = (3x + 17)
5x - 3x = 17 + 7
2x = 28
x = 14
Now, we can see that Angle (5x - 7) and Angle (4y + 3) makes linear pairs on line A.
Thus, (5x - 7) + (4y + 3) = 180
Substitute x = 14
(5(14) - 7) + (4y + 3) = 180
70 - 7 + 4y + 3 = 180
4y + 66 = 180
4y = 114
y = 28.5
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Evaluate the expression below without using a calculator
With the help of trignometric identities we can say that the answer is = 0.672355, nearly.
What is trignometric equation?A trigonometric equation is any equation that contains a trigonometric function. Up until now we have introduced trigonometric functions, but not fully explore them. In the lessons within this SparkNote on trigonometric equations, we'll learn exactly how to solve trigonometric equations.As mentioned in Trigonometric Identities, a trigonometric equation that holds true for any angle is called a trigonometric identity. There are other equations, though, that only are true for certain angles.They are generally known as conditional equations, but in this text we'll just call them equations. We'll learn some techniques for solving general equations, as well as how to derive an infinite number of solutions to an equation based on a single solution to that equation.acc to our question-
cos(75)= 2-√3tan(22/7)= 1+√2.sin 3π/6= √2-√√2/2Learn more about trignometric equation:
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In ΔSTU, TU = 11, US = 17, and ST = 18. Which statement about the angles of ΔSTU must be true?
For the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .
As given in the question,
In the given triangle STU,
TU = 11
US = 17
ST = 18
we can see that
TU < US < ST
⇒ 11 < 17 < 18
⇒ 11 + 17 = 28
⇒ 28 > 18
All the sides of the triangle are not equal to each other.
This implies that all the angles opposite to the unequal sides are also not equal to other.
Therefore, for the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .
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resolver por método de Cramer
1/2x+2/3y=6
-4x+3/5y=8
ayuda
Find x 96+2x+(x+12).
Answer:
bro u find it
Step-by-step explanation:
What are the missing segment lengths shown in the image?
The length of the missing ,line segments show in the image are AC = CD = 10√2 and AB = BC = 10 .
In the question ,
a figure is given , we have to find the length of the missing line segments .
From the given figure
the Δ ACD is a right triangle ,
given that ∠A and ∠D are equal
so , their corresponding length AC and CD will be equal , that is AC = CD
So , By Pythagoras Theorem
AC² + CD² = AD²
2*AC² = AD²
2*AC² = (20)²
2*AC² = 400
AC² = 400/2 = 200
AC = √200
AC = CD = 10√2
The triangle ABC is also right triangle
and ∠A and ∠C are equal
so , their corresponding length AB and BC will be equal , that is AB = BC
So , By Pythagoras Theorem
AB + BC = AC
2*AB² = AC²
2*AB² = (10√2)²
2*AB² = 200
AB² = 200/2 = 100
AB = √100
AB = 10 = BC
Therefore , The length of the missing line segments show in the image are AC = CD = 10√2 and AB = BC = 10 .
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The candy jar is only 1/4 full and all three brothers want an equal share. What fraction of the candy jar should each brother get?
Answer: 1/12
Step-by-step explanation: If the candy jar is only 1/4 full, and there's 3 brothers, they would each receive 1/3 of 1/4. THis would be 1/12 of the jar.
There are 4 consecutive even integers that add up to 4. What is the value of the least integer?
The value of the least integer is -1/2 or -0.5.
How to calculate the value?Based on the information given, let the integers be represented as:
x
x + 1
x + 2
x + 3
Since they all add to 4, this will be:
x + x + 1 + x + 2 + x + 3 = 4
4x + 6 = 4
Collect like terms
4x = 4 - 6
4x = -2
Divide
x = -2 / 4
x = - 1/2
Therefore, the least is - 1/2
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I”M GIVING BRAINLIEIST OR WHATEVER TO WHO EBER EXPLAINS THE BEST
Answer:-3
Step-by-step explanation:
Find the value of x. 50 points
Answer:
x = 53°
Step-by-step explanation:
Forming the equation,
→ x + (2x + 21°) = 180°
Now the value of x will be,
→ x + (2x + 21°) = 180°
→ 3x = 180° - 21°
→ x = 159°/3
→ [ x = 53° ]
Hence, the value of x is 53°.
32. what proportion of the 30 sampled bottles are more than 12 ounces? a. 0.20 b. 0.60 c. 0.50 d. 0.30 33. in the sample of 30 bottles, the lowest recorded fill is 11.3 ounces, however, originally this value was mistakenly entered as 1.3 ounces. suppose the error is left uncorrected and the lowest value remains 1.3 ounces. which value is most affected by the error? a. the median. b. the interquartile range. c. the mean. d. all measurements would be affected the same.
The proportion of the 30 sampled bottles are more than 12 ounces is 0.30. The value is most affected by the error will be mean.
What is mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint.
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show your work using standard athgorithm