Answer:
Solving 5x + y = 5 and - 3x + 2y = 6 gives (4/13,45/13) Similarly solve other combinations by observing graph to get other coordinates. From the figure we have obtained coordinates of corners as:
Step-by-step explanation:
The Solution for the linear equation is ( 6, -7)
What is Linear Equation?First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation.
Given:
2x + y = 5.......................(1)
and, 3x + 2y = 4....................(2)
Multiply the equation (1) by 2 we get
4x + 2y = 10 ....................(3)
Solving Equation (2) and (3), we get
3x + 2y = 4
4x + 2y = 10
- - -
_____________
-x = -6
x= 6
and, y= 5- 2x = 5-2(6) = -7
Hence, the solution is (6, -7)
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|x−1|, if x>1 Please Help, as soon as possible
Answer:
x = 2 , y = 3 , z = 1
Step-by-step explanation:
I believe is the answer correct me if wrong
Answer:
x-1
Step-by-step explanation:
|x-1| if x>1. the expression must be positive, therefore you can remove the absolute values without trouble so you get x-1
Question 12 Multiple Choice Worth 1 points)
(06.01 MC)
20
20
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11. The probability of the arrow landing on a section colored blue is 6. Whan
the probability of the arrow landing on a green-colored section?
O
20
O
20
о
9
20
17
20
Complete question:
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?
Answer: 3/20
Step-by-step explanation:
From the question, the spinner is divided equally into sections painted with 3 different colors (RED, BLUE and GREEN)
Given that:
P(arrow landing on red) = 11 / 20
P(arrow landing on blue) = 6/20
The probability of arrow landing on green is therefore :
Sum of the probabilities of red and blue :
P(arrow landing on red) + P(arrow landing on blue)
= (11/20 + 6/20) = 17/20
Recall : The sum of probabilities of mutually exclusive events must sum up to 1. Therefore, since the events represented above are mutually exclusive, that is no two events can occur at the same time.
Then:
P(arrow landing on red) + P(arrow landing on blue) + P(arrow landing on green) = 1
Hence,
P(arrow landing on green) = 1 - [(P(arrow landing on red) + P(arrow landing on blue)]
P(arrow landing on green) = 1 - [11/20 + 6/20]
P(arrow landing on green) = 1 - 17/20
P(arrow landing on green) = 3/20
Lance can paint the room in 5 hours, while Kim can paint the same room in 4 hours.
How many hours would it take for them to paint the room together?
Answer:
1.5 hours
Step-by-step explanation:
If two 4-sided dice were rolled, what
would be the probability of getting double
2s? Write your answer as a fraction.
Answer:
It’ll be a 1/8 chance
Step-by-step explanation:
Uh pretty much, if you were to roll one of those 4 sides die it’ll be a 1/4 of being a 2 in which it was. If you were to roll it again it’ll be another 1/4 chance but back to back it’ll be a 1/8 chance
Please Help me!! An 8 foot high camel is loping away from a streetlight. The camel is loping at 12 feet/second. The streetlight is 20 feet high. How fast is the camel’s shadow growing?
Answer:
Camel's shadow is growing at a rate of 8 ft/sec.
Step-by-step explanation:
Given:
Height of camel = 8 ft
Height of streetlight = 20 ft
Speed of camel = 12 ft / sec
To find:
How fast is the camel's shadow growing = ?
Solution:
First of all, have a look at the image attached for the situation as given in the question statement.
PQ be the streetlight.
AB be the camel.
Camel is loping away from the streetlight.
BT will be the shadow of the camel.
We are given that speed of camel = 12 ft / sec
And we know that Speed is the Rate of change of distance w.r. to time.
i.e. as per the image, we are given:
[tex]\dfrac{dx}{dt} = 12 ft /sec[/tex]
And we have to find the value of:
[tex]\dfrac{ds}{dt} = ?[/tex]
(Because s is the shadow length and we have to find the rate of change of shadow's length w.r.to time.)
Here, let us consider the two similar triangles [tex]\triangle TAB\ and\ \triangle TPQ[/tex]as per the image attached:
Ratio of corresponding sides will be same.
[tex]\dfrac{AB}{PQ}=\dfrac{TB}{TQ}\\\Rightarrow \dfrac{8}{20}=\dfrac{s}{s+x}\\\Rightarrow 8s+8x=20s\\\Rightarrow 12s = 8x\\\Rightarrow s = \dfrac{2}{3}x[/tex]
Now, differentiating w.r.to t:
[tex]\dfrac{ds}{dt}=\dfrac{2}{3}\dfrac{dx}{dt}\\\Rightarrow \dfrac{ds}{dt}=\dfrac{2}{3}\times 12\\\Rightarrow \dfrac{ds}{dt}=\bold{8\ ft/sec}[/tex]
Camel's shadow is growing at a rate of 8 ft/sec.
You are planning to use a tile design in your new room. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 11 cm, what will be the exact area of each hexagonal shape? A. 3,993 cm^2 B. 181.5 root 3 cm^2 C. 132 root 3 cm^2 D. 33 cm^2
Answer:
B. 181.5√3 cm^2
Step-by-step explanation:
The area of a regular hexagon with side length s is given by ...
A = (3√3/2)s²
For side length s = 11 cm, the area is ...
A = (3√3/2)(11 cm)² = 363√3/2 cm²
A = 181.5√3 cm²
Which statement is true? A. Point estimates are used to make inferences about population parameters. B. When we use the population mean and proportion to summarize information about the entire population, we call them point estimates. C. The population mean and proportion are always equal to their corresponding point estimates. D. The sample mean and sample proportion of a population are called population parameters. Reset
Answer:
the answer is d
Step-by-step explanation:
cause its d
One-quarter of the top of a round wedding cake is covered in yellow roses. The top of the wedding cake has a diameter of 12 inches. Each yellow rose covers an area of 0.75 square inch. About how many roses were used to cover this section of the cake?
PLZ ANSWER QUICKLY AND ACCURATLY WILL MARK BRAINLIEST
Answer:
I believe the answer to your question is 38.
Step-by-step explanation:
Here is what I did: First, I found the radius, and to do that, I did 12 divided by 2, which gave me 6. then I did 6 divided by 2, to find the radius, of the radius I just found. which gave me 3, then I did 3 times 12, which gave me 36, so the answer should be 38 :)
Answer:
8
Step-by-step explanation:
Simplify: 1/2 (2a + b) - (4a + b) Show ALL work please!
Answer:
-3a-1/2b
Step-by-step explanation:
1/2(2a+b)-(4a+b)
2/2a+1/2b-4a-b
a-4a+1/2b-b
-3a+1/2b-2/2b
-3a-1/2b
Answer:
-3a -1/2 b
Step-by-step explanation:
1/2 (2a + b) - (4a + b)
Distribute
a + 1/2 b -4a -b
Combine like terms
a -4a +1/2b - b
-3a -1/2 b
Gina wants to solve the following proportion.
a / 5/8 = 3/5 / 2/3
A. explain how to solve the problem.
B. solve the proportion. show your work.
Step-by-step explanation:
please don't understand the question. will be happy if you take a shot of it.
Thanks
If the degree measures of the angles of a triangle are in the ratio 3 : 3 : 4, what is the degree measure of the largest angle of the triangle? (Sum of all three angles is 180)
x=3k
y=3k
z=4k
x+y+z=180
3k+3k+4k=180
10k=180
k=180/10
k= 18
z=4*18
z=72
answer: 72
Answer:72 degrees
Step-by-step explanation:
3:3:4 is the ratio of the angles of a triangle and we have been asked the degree measure of the largest angle.
First of all...add the three ratios
3+3+4=10
;Ratio 10=180 degrees(the sum of all the angles;ratios add up to the sum of all three angles)
10=180 how about ratio 3?
Cross multiply...3 times 180 over 10= 54 degrees
Both angles with ratio 3 are 54 degrees
180-108=72
The angle with ratio 4 has 72 degrees which makes it the largest angle
Find the slope of each line. Then tell what the slope represents.
Answer:
5. Slope = 8.5
6. Slope = -12
7. Slope = 1
Step-by-step explanation:
Slope = y/x - y1/x1
5. => 68/8 - 25.5/3
=> 68 - 25.5 / 8 - 3
=> 42.5 / 5
=> Slope = 8.5
6. => 76/2 - 40/5
=> 76 - 40 / 2 - 5
=> 36 / -3
=> Slope = -12
7. => 4/5.5 - (-1/.5)
=> 4 - (-1) / 5.5 - .5
=> 4 + 1 / 5.5 - .5
=> 5 / 5
=> Slope = 1
Answer:
5. Slope = 8.5
6. Slope = -12
7. Slope = 1
Step-by-step explanation:
Slope = y/x - y1/x1
5. => 68/8 - 25.5/3
=> 68 - 25.5 / 8 - 3
=> 42.5 / 5
=> Slope = 8.5
6. => 76/2 - 40/5
=> 76 - 40 / 2 - 5
=> 36 / -3
=> Slope = -12
7. => 4/5.5 - (-1/.5)
=> 4 - (-1) / 5.5 - .5
=> 4 + 1 / 5.5 - .5
=> 5 / 5
=> Slope = 1
Help me pls Will mark best
Answer:
i think the answer is 5 i am not sure if wrong i am sorrry
Step-by-step explanation:
Please help me! I will give brainly!
Example: To do the answer draw on my screenshot. So then you can make the dots.
Which ordered pair is a solution of the equation? 2x+4y=6x−y
Answer:
Step-by-step explanation:
"Which ordered pair" implies that there were several answer choices for this problem. It's important that you share such answer choices.
2x+4y=6x−y reduces to 5y = 8x, and so y = (8/5)x
If we choose x = 2, then y = (8/5)(2) = 16/5 is a solution of the given equation. There are an infinite number of such solutions. All lie on the line y = (8/5)x.
Find the center, vertices, and foci of the ellipse with equation x squared divided by 81 plus y squared divided by 225 equals 1.
12(43)
5 (88)
8 (63)
7 (28)
Please help me i tried to do this but I really don't get this can somebody help? plsssssssssssssssssssssssssssssss(sorry for spam)
In three years, 30% of a radioactive element decays. Find its half-life. (Round your answer to one decimal place.) yr
Answer:5 years
Step-by-step explanation:
Answer:
5 years
Step-by-step explanation:
in three years 30%
so in one year 10%
For half life time- 50%
so half life time years- 5 years..
Drag each object to show whether distance is proportional to time in the situation represented.
Answer: please find the answer in the explanation.
Step-by-step explanation:
1.) The distance is not proportional to time. Because the distance was constant from time = 3 seconds to 10 seconds.
2.) A person running down a field to score a touchdown. Not enough information.
3. A dog jogging at a constant speed for 20 minute. The distance is proportional to time because of the constant speed.
4.) The distance is proportional to time because their is increase in distance covered and increase in time taken.
5.) A truck passing through the 4 cities at a constant speed. The distance is proportional to time because the speed is constant.
6.) A horse running around a race track. Distance is not proportional to time because this is not a linear motion.
Pllzzz help I’ll mark brainliest
Answer:
26°
Step-by-step explanation:
AC=tan 64
BC=x=sec 64
Using sine rule
(Sin 64)/tan 64 = (sin BAC)/sec 64
Cos 64 = (sin BAC)(cos 64)
Sin BAC= 1
BAC=90
ACB+ 64+90=180
ACB= 26°
abbi invested $1,000 in a certificate of deposit with a simple interest rate of 6% find the interest earned in 4 years. then find the total of principal plus interest.
Answer:
Step-by-step explanation:
Please help On this question
Answer:
202.5 cm^2
Step-by-step explanation:
We can calculate the area of the shape by completing it
to a full rectangle or dividing it to a rectangle and triangle.
The second way seems easier
The area of the rectangle is calculated by multiplying length to width
20 × 9 = 180 cm^2
The area of a triangle is calculated by multiplying height to the base and that divided by two
5 × 9 ÷ 2 = 22.5 cm^2
Now add these two 180 + 22.5 = 202.5 cm^2
Answer:
202.5 cm squared
Step-by-step explanation:
To find the area of this figure easier, you can cut the figure like I showed in the attachment below.
The rectangle (purple): 20 times 9 is 180.
The right triangle (light blue): 9 times 5 times 1/2 is 22.5.
All together: 180 plus 22.5 is 202.5 cm squared!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
Papa Bear ate 1/2 of a pie. Mama Benr ate 1/2 of what was left Baby Bear ate 1/2 of what
was left after Mama Bear finished.
3) What fractional part of the pie did Mama Bear eat?
4) What fractional part of the pie was left for Goldilocks?
Answer:
1/4 was eaten by mama and Baby also ate 1/4
Step-by-step explanation:
goldilocks got 0/4
if papa ate half and baby and mama each ate 1/4 they equal up to 2/4 which is 1/2
papa ate 1/2 and 1/2+1/2=1
Mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.
What is the fraction?The fraction is a rational number that simply divides two numbers and is written in the form a/b where a is called the numerator and b is called the denominator.
Let the full part of the pie is a.
Papa bear ate 1/2 part of the pie.
Then papa bear ate = (1/2)a
rest of the pie is= a- (1/2)a= (1/2)a
Mama bear ate (1/2) of the rest of the pie.
so mama bear ate = (1/2)(1/2)a= (1/4)a part of pie
rest of pie after mama bear ate = (1/2)a- (1/4)a= (1/4)a
Then baby bear ate (1/2) of the rest of the pie.
so baby bear ate = (1/2)(1/4)a= (1/8)a part of pie
rest of pie after baby bear ate = (1/4)a- (1/8)a= (1/8)
The rest of the part was left for GoldLiocks.
Therefore mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.
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Solve for x: |3x + 12| = 18 (5 points) A. x = 2, x = −10 B. x = 2, x = −2 C. x = 10, x = −10 D. x = −2, x = 10
Answer:
The solution set is therefore {-10, 2}
Step-by-step explanation:
The absolute value equation |3x + 12| = 18 has two distinct solutions.
|3x + 12| = 18 may be rewritten as
3x + 12 = 18 and
-(3x + 12) = 18
The first equation immediately above becomes 3x = 6 after we subtract 12 from both sides. Therefore, x = 6/3, or x = 2.
Simplifying the second equation yields -3x - 12 = 18. To solve this for x, we add 12 to both sides, obtaining -3x = 30.
Dividing both sides by -3 yields x = -10.
The solution set is therefore {-10, 2}
WILL GIVE BRAINLY!!!!describe how the line of best fit and the correlation coefficient can be used to determine the correlation between two variables on a graph
Answer:
a graph with points plotted to show a possible relationship between two sets of data. ... A correlation where as one variable increases, the other also increases, or as one decreases so does the ... a line that best passes through or near graphed data; used to describe data and predict where new data will appear on the graph.
Answer:
a graph with points plotted to show a possible relationship between two sets of data. ... A correlation where as one variable increases, the other also increases, or as one decreases so does the ... a line that best passes through or near graphed data; used to describe data and predict where new data will appear on the graph.
Step-by-step explanation:
Match each function formula with the corresponding transformation of the parent function y = 3x
1. y = -3^ x Translated up by 1 unit 2.
2.y = 3^ -x Reflected over the y-axis 3.
3.y = 3 ^x - 2 Translated right by 2 units 4.
4. y = 3 ^x + 1 Translated down by 2 units 5.
5. y = 3^ x + 1 Translated left by 1 unit 6.
6. y = 3 ^x - 2 Reflected over the x-axis
Everything is exponents of the three except the -2 at the end and the 4th one is also +1 not an exponent
Answer:
1. y = -3^ x Translated up by 1 unit 2.
2.y = 3^ -x Reflected over the y-axis 3.
3.y = 3 ^x - 2 Translated right by 2 units 4.
4. y = 3 ^x + 1 Translated down by 2 units 5.
5. y = 3^ x + 1 Translated left by 1 unit 6.
6. y = 3 ^x - 2 Reflected over the x-axis
Step-by-step explanation:
Match each number with its place in order from smallest (1st) to largest (6th). 1. 6th -56 2. 4th 90 3. 3rd -84 4. 1st 59 5. 2nd -80 6. 5th 48 HELP ASAP IM GETTING GRADED ON THIS
Answer:
1st -842nd -803rd -564th 485th 59 6th 90Step-by-step explanation:
To match each number with its place in order from smallest (1st) to largest (6th).
1. 6th -56 2. 4th 90 3. 3rd -84 4. 1st 59 5. 2nd -80 6. 5th 48
First we write all numbers: -56, 90, -84, 59, -80, 48
In Ascending order ( from smallest to largest): -84, -80,-56, 48, 59, 90
Here, the required arrangement:
1st -842nd -803rd -564th 485th 59 6th 90
A lab technician is dividing a cell that has a diameter of 4.32×10−4 4 . 32 × 10 - 4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell. Which is the diameter of a new cel
Answer:
Bottom right option
Step-by-step explanation:
To find this, we can calculate:
1/2 * 4.32 * 10⁻⁴
= (1/2 * 4.32) * 10⁻⁴
= 2.16 * 10⁻⁴
The diameter of a new cell is 2.16×10−⁴millimeters
First step is to calculate 4.32×10−⁴ to the original numbers
4.32×10−⁴ =0.000432
Second step is to determine the diameter of a new cell
New cell diameter=0.000432×1/2
New cell diameter=0.000216
New cell diameter=2.16×10−⁴millimeters
Inconclusion The diameter of a new cell is 2.16×10−⁴millimeters
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What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?
The discriminant is equal to 0, which means the equation has no real number solutions.
The discriminant is equal to 0, which means the equation has one real number solution.
The discriminant is equal to 128, which means the equation has no real number solutions.
The discriminant is equal to 128, which means the equation has two real number solutions.
Answer:
B: The discriminant is equal to zero which means it has one real number solution
Step-by-step explanation:
Hello Again!!
Your right answer will be is B. The discriminant is equal to 0, which means the equation has one real number solution.
For this case we have the following quadratic equation:
2x^2 - 8x + = 0
Where:
a = 2
B = -8
c = 8
The discriminant is given by:
d = b^2 - 4(a)(c)
Substituting the values we have:
d = (-8)^2 - 4(2)(8)
d = 64 - 64
d = 0
So, Your best answer choice is B.
Good Luck!!
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what comparison does the ratio 6 to 21 represent
Answer:
3:7
Step-by-step explanation:
hope it help you....
Answer:
2:7
Step-by-step explanation:
You have to find the common denominator and divide both numbers by that for example: 6 and 21 they can both be equally divided by 3 without becoming a fraction or a decimal.(Pls do correct me if i'm wrong don't be scared to)