Answers
Answer:
[tex] 4\sqrt{10} [/tex]
Step-by-step explanation:
Perimeter of the rhombus, STAR, is the sum of the length of all it's 4 sides.
The coordinates of its vertices are given as,
S(-1, 2)
T(2, 3)
A(3, 0)
R(0, -1)
Length of each side can be calculated using the distance formula given as [tex] d = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Find the length of each side ST, TA, AR, RS, using the above formula by plugging in the coordinate values (x, y) of each vertices.
[tex] ST = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
S(-1, 2) => (x1, y1)
T(2, 3) => (x2, y2)
[tex] ST = \sqrt{(2 -(-1))^2 + (3 - 2)^2} [/tex]
[tex] ST = \sqrt{(3)^2 + (1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]
[tex] TA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
T(2, 3) => (x1, y1)
A(3, 0) => (x2, y2)
[tex] TA = \sqrt{(3 - 2)^2 + (0 - 3)^2} [/tex]
[tex] TA = \sqrt{(1)^2 + (-3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]
[tex] AR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
A(3, 0) => (x1, y1)
R(0, -1) => (x2, y2)
[tex] AR = \sqrt{(0 - 3)^2 + (-1 - 0)^2} [/tex]
[tex] AR = \sqrt{(-3)^2 + (-1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]
[tex] RS = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
R(0, -1) => (x1, y1)
S(-1, 2) => (x2, y2)
[tex] RS = \sqrt{(-1 - 0)^2 + (2 -(-1))^2} [/tex]
[tex] RS = \sqrt{(-1)^2 + (3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]
[tex] Perimeter = ST + TA + AR + RS [/tex]
[tex] Perimeter = \sqrt{10} + \sqrt{10} + \sqrt{10} + \sqrt{10} = 4\sqrt{10} [/tex]
Related Questions
What is the median of the following numbers?
8, 10, 10, 10, 6, 7, 8
Answers
100 POINTS !!
describe the transformation f(x)=9
a. translation 8 units right b. none. c. translation 8 units up.
d. translation 8 units down.
e. translation 8 units left.
Answers
Answer:
b. none
Step-by-step explanation:
All the other answers have the number 8 in it which the equation does not have.
Question 2 (1 point)
During the third week of practice Ellison's cross country team ran 6 miles less than triple the number of miles they ran the
first week. If they ran m miles in practice the first week, write an expression that represents the number of miles that
the cross country team ran during the third week.
a
3-6m
3m-6
b
C
6-3m
Od
6m-3
Answers
Answer:
first week = m miles
second week = 6 miles less than triple the number of miles they ran the
first week.
Triple of the number of miles they ran the first week = 3 * m = 3m
Therefore = 3m - 6
What is equivalent to 3x-4y=6
Answers
Answer:
y= (3/4) x - (3/2)
Step-by-step explanation:
3x - 4y = 6 (using algebra add the 4y to the other side & subtract the 6 to the other side >> 3x - 6 = 4y (then divide everything by 4 to get y by itself) >> 3/4x - 6/4 = y (then simplify) >> 3/4x - 3/2 = y
What is the justification for 2y-40=-18 A the multiplication property of equality B the subtraction property C the division property D the addition property
Answers
Answer:
Addition and Division propertyStep-by-step explanation:
Addition property is used in an equation when the same value is added to both sides of the equation to simplify such equation.
Given the equation 2y-40=-18 to simplify the equation further we need to first add 40 to both sides of the equation thereby justifying the addition property as shown;
2y-40 + 40 =-18+40
2y = 40-18
2y = 22
We will also apply the division property here. Division property is used when both sides of an equation is divided by a number without affecting the equality rule.
Dividing the resulting equation by 2:
2y/2 = 22/2
y = 11
Hence the justification for the equation 2y-40=-18 are both adition and division property.
if y varies directly with x and y = -12 when x = 6 find x when y = -4 A -2 B 3 C -3 D 2
Answers
Answer:
D
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 12 when x = 6, thus
- 12 = 6k ( divide both sides by 6 )
- 2 = k
y = - 2x ← equation of variation
When y = - 4, then
- 4 = - 2x ( divide both sides by - 2 )
2 = x → D
Six friends all use $2-off coupons to buy themselves movie tickets. They spend a total of $42. What is the price of one movie ticket without the coupon?
Group of answer choices
Answers
Which function rule models the function over the domain specified in the table below?
Х
f(x)
-11
-7
-1
1
3
9
4
11
7
17
f(x) = 3x + 10
Of(x) = 2x + 3
f(x) = 4x + 5
O f(x) = 3x - 10
Answers
Answer:
f(x) = 2x +3
Step-by-step explanation:
If we assume the first point in your table is supposed to be (-7, -11), then the function exhibits a constant slope of 2.
For example, from (x, y) = (3, 9) to (4, 11) the x-value changes by 1, but the y-value changes by 2.
The only offered answer choice with a slope (x-coefficient) of 2 is ...
f(x) = 2x +3
HELPP!!
if f(x) =x²-3, then f(3) - f(-1) is:
Answers
Answer:f8
Step-by-step explanation:
there are 300 window for b buildings. assuming there is an equal number of windows per building, how many windows does each building have
Answers
Answer:
[tex]300\div b[/tex] windows
Step-by-step explanation:
We can find how many windows each building has by changing our old expression.
If we assume [tex]b[/tex] is the amount of buildings and [tex]w[/tex] is the amount of windows per building, we can make the equation:
[tex]wb = 300[/tex].
Now we want to isolate w on one side.
To do this we can divide both sides by b.
[tex]wb\div b = 300\div b\\\\w = 300\div b[/tex]
So the amount of windows per building is [tex]300 \div b[/tex].
Hope this helped!
Sally had 1/2 of a candy bar. She gave half of what she had to Frank. Frank gave half of HIS piece to Peter. How much of a candy bar did Frank end up with?
Answers
what is 17 minus 5 times 4 divided by 2
Answers
Answer:
7
Step-by-step explanation:
4 ÷ 2 = 2
2 × 5 = 10
17 - 10 = 7
Answer:
24
Step-by-step explanation:
17 minus 5 is 12
12 times 4 is 48
48 divided by 2 is 24
yeah....
Colleen is touring an automobile plant. The tour guide tells her that they use 938 kg of aluminum to make 7 cars. All of the cars are the same so they use the same amount of aluminum for each car. If they have only used 100 kg of aluminum on the car they are building right now, how much more aluminum do they need to finish the car?
Answers
Answer:
34 kg
Step-by-step explanation:
(938/7) = 134 kg per car, so since they only have 100 kg, 34 kg are missing to complete the car.
The value of y is directly proportional to
the value of x. If y = 84 when x = 16, what
is the value of y when x = 75?
Answers
Answer:
y = 393.75
Step-by-step explanation:
Proportions:
84 ⇔ 16
y ⇔ 75
y = 75*84/16
y = 393.75
A medical researcher measures the increase in heart rate of patients under a stress test. What kind of variable is the researcher studying?
Answers
The options in this question are not given; here is the complete question:
A medical researcher measures the increase in heart rate of patients under a stress test. What kind of variable is the researcher studying?
A. Identifier
B. Categorical
C. Quantitative
D. Qualitative
The answer to this question is C. Quantitative
Explanation:
In research, a quantitative variable refers to a variable or factor that involves using numbers, percentages, and in general, quantities to be understood. Moreover, this is the opposite of qualitative variables that involve using qualities. The medical research described includes a quantitative variable because heart rate can only be measured and understood through numbers. Also, other types of variables such as qualitative or categorical are not involved because these are related to qualities rather than numbers.
Solve each variable. Then match each equation with its correct answer. х -7 -15 = b - 18 4=n-2 b-(-16) = 17
Answers
Answer:
PLEASE READ EXPLANATION
1. [tex]x = 7[/tex]
2. [tex]b = 3[/tex]
3. [tex]n = 6[/tex]
4. [tex]b = 1[/tex]
Step-by-step explanation:
I’m going to assume the equations are as following - you made it a bit hard to read.
[tex]x - 7 = 0[/tex]
[tex]-15 = b - 18[/tex]
[tex]4 = n-2[/tex]
[tex]b-(-16) = 17[/tex]
I’m just shooting guesses here, if I said an equation wrong PLEASE let me know.
We can solve each equation by isolating x on one side.
Number 1:
[tex]x - 7 = 0\\\\x - 7 + 7 = 0 + 7\\\\x = 7[/tex]
Number 2:
[tex]-15 = b - 18\\\\-15 + 18 = b - 18 + 18\\\\3 = b[/tex]
Number 3:
[tex]4 = n-2\\\\4 + 2 = n - 2 + 2\\\\n = 6[/tex]
Number 4:
[tex]b-(-16) = 17\\\\b+16=17\\\\b + 16 - 16 = 17 - 16\\\\b = 1[/tex]
Hope this helped!
A company ships bowling balls in rectangular prisms that are 190% of the volume of the balls. If a truck carries 30 large boxes full of bowling balls, and those boxes are 35in. x 26in. x 26in., and the bowling balls are 8.5 inches in diameter, then how many bowling balls will be in the 25 truck shipment.
Answers
Answer:
b
Step-by-step explanation:
What is the slope of the line passing through the point (2,-1) and the origin?
Answers
Answer:
y = - 1/2x
Step-by-step explanation:
Find the domain of the function. (Enter your answer using interval notation.)
Answers
Answer:
[tex](-\infty,-9)\cup(-9,\infty)[/tex]
Step-by-step explanation:
The domain of a rational function is all real numbers except for when the denominator equals 0.
So, to find the domain restrictions, set the denominator to 0 and solve for x.
We have the rational function:
[tex]s(y)=\frac{7y}{y+9}[/tex]
Set the denominator to 0:
[tex]y+9=0[/tex]
Subtract 9:
[tex]y\neq-9[/tex]
So, the domain is all real numbers except for -9.
In other words, our domain is all values to the left of negative 9 and to the right of negative 9.
In interval notation, this is:
[tex](-\infty,-9)\cup(-9,\infty)[/tex]
And we're done :)
Rewrite the function by completing the square.
f(x) = x² - 9x + 14
F(x)=?(x+?)^2+?
Answers
Answer:
(x-9/2)²-25/4
Step-by-step explanation:
x² - 9x + 14
to complete the square , need to add a term (b/2)²: (-9/2)²=81/4
x² - 9x -81/4+ 14+81/4
x²-9x+81/4=(x-9/2)²
14-81/4=66-81/4=-25/4
(x-9/2)²-25/4
4 7/9 divided by 1 7/12
Answers
Answer:
2 19/5
Step-by-step explanation:
4 7/9 ÷ 1 7/12
start by turning them into improper fraction by multiplying the denominator to the whole number and adding the product to the numerator , you will get :
42/9 ÷ 17/12
42/9 * 12/17 ( reciprocal )
42/3 * 4/17 (9 and 12 can be cut smaller because both are in 3's table)
= 172/51
turn this into mixed fraction by -
Divide the numerator by the denominator.
Write down the whole number answer
Then write down any remainder above the denominator
you will get = 2 19/5
4 7/9 divided by 1 7/12 will be 3 1/57.
The first thing to do is to change the mixed fraction to improper fraction and this will be:
= 4 7/9 ÷ 1 7/12
= 43/9 ÷ 19/12
Then we change the division sign to multiplication and this will be:
= 43/9 × 12/19
We then reduce to lowest term
= 43/9 × 12/19
= 43/3 × 4/19
= 172/57
= 3 1/57
In conclusion, 4 7/9 divided by 1 7/12 is 3 1/57.
Read related question on:
https://brainly.com/question/18624736
How is this solved..? Plz help
Answers
Answer:
I believe the answer is B...
Step-by-step explanation:
Ray collects cars and trucks. Over the years, the number of cars he collected is 8 less than twice
the number of trucks. If he has a total of 43 cars and trucks, how many trucks does Ray have?
Answers
Answer:
Number of Trucks = 17
Step-by-step explanation:
Given:
Total number of cars and truck = 43
Find:
Number of Trucks
Computation:
Assume
Number of Trucks = x
Number of Cars = 2x - 8
Total number of cars and truck = Number of Trucks + Number of Cars
43 = x + 2x - 8
51 = 3x
x = 17
Number of Trucks = 17
Solve for x: −3(x + 3) = −3(x + 1) − 5.
A. 6
B. −6
C. All real numbers
D. No solution
Answers
Answer:
no solutions
Step-by-step explanation:
−3(x + 3) = −3(x + 1) − 5
Distribute
-3x -9 = -3x -3 -5
Combine like terms
-3x -9 = -3x-8
Add 3x to each side
-9 = -8
Since this is never true, there are not solutions
The table shows the distance y (in miles) that you travel on a road in x minutes. What type of function best models the data?
Time (minutes), x Distance (miles), y
0 0
20 15
40 30
60 45
80 60
constant function
linear function
absolute value function
quadratic function
Answers
Answer:
Linear Function
Step-by-step explanation:
Given
The table showing values of x and y
Required
Determine the type of function
To determine the type of function, the table represents;
One will need to determine the table equation.
Start by solving for the slope;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
When x - 0; y = 0 and When x = 80; y = 60.
This gives
[tex]m = \frac{0 - 60}{0 - 80}[/tex]
[tex]m = \frac{- 60}{- 80}[/tex]
[tex]m = \frac{3}{4}[/tex]
The formula is determine as follows;
[tex]y - y_1 = m(x - x_1)[/tex]
When x - 0; y = 0; m = 3/4; This gives
[tex]y - 0 = \frac{3}{4}(x - 0)[/tex]
[tex]y = \frac{3}{4}(x - 0)[/tex]
Open Bracket
[tex]y = \frac{3}{4}x - 0[/tex]
[tex]y = \frac{3}{4}x[/tex]
The above is an example of a linear equation.
Hence; option B answers the question
Please help me ?????
Answers
Answer:
the answer is 1
Step-by-step explanation:
it's in the picture
what’s the square root of 5 times the square root of 5
Answers
Answer:
5
Step-by-step explanation:
Looked it up on google
Answer:
[tex] \sqrt{5} \times \sqrt{5} = 5[/tex]
Step-by-step explanation:
bc 5 isn't a perfect square I'll use another number as an example.
the square root of 36 is 6 right? so 6 × 6 is 36.
or it can be written as 6^2=36.
hope this makes sense
please help me find the distance! :)
Answers
Answer:
5
Step-by-step explanation:
C(-6,5) D (-3,1)
to find a distance between two points use the following formula:
d=√(x2-x1)²+(y2-y1)²
d=√-3-(-6)+(1-5)²
d=√(-3+6)²+(-4)²
d=√(3)²+16
d=√25
d=5
Answer:
7
Step-by-step explanation:
you had to go up 3 times on the x place to make -6 to -3
you had to go down 4 times to make 5 go to 1
so 3+4 is 7
The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza does not touch the table? Use 3.14 for pi.
Answers
Answer:
10 inStep-by-step explanation:
This problem bothers on the mensuration of flat shapes, circles and square.
we know that the pizza has a circular profile
and the place-mat has a square profile.
Step one:
let us solve for the radius of the pizza
[tex]area-of- pizzza= \pi r^2\\\\ 78.5= 3.142*r^2\\\\r^2= 78.5/3.142\\\\r^2= 24.98\\\\r= \sqrt{24.98} \\\\r=4.998\\\\r= 5 in[/tex]
Step two:
from inspection we know that the width of the place-mat is same as the diameter of the pizza
hence diameter of pizza
= 2r
=2*5
=10 in
Can someone help me with this question please
Answers
Answer:
3 or 4
Step-by-step explanation:
Answer:
6 m and 18 m
Step-by-step explanation:
There are 2 similar triangles in the diagram
lamppost/ lamppost's shadow/ line from end of shadow to top of lamppost
Nick/ Nick's shadow/ line from end of shadow to top of Nick
Therefore the ratios of corresponding sides are equal.
Note the shadow of the lamppost = 12 + x, thus
[tex]\frac{6}{2}[/tex] = [tex]\frac{12+x}{x}[/tex] ( cross- multiply )
6x = 2(12 + x) = 24 + 2x ( subtract2x from both sides )
4x = 24 ( divide both sides by 4 )
x = 6
Thus
Nick's shadow is 6 m long
Lamppost's shadow is 12 + 6 = 18 m long