Answer:
146
Step-by-step explanation:
4×12+5×10+4×12=146
Answer:
11
Step-by-step explanation:
You would start by subtracting $30 from $151 which is $121.
Then you would divide this by 11 which 121÷11=11
So 11 test were bought.
67.2
ST + SR + TR = perimeter of RST
ST = PQ × TR/QO
Answer:
(
2 , 5 ) and
(
26
/3 , 0
)
Step-by-step explanation:
Find the equation using the two points.
Use y
=
m
x
+
b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.
To calculate the equation of the line, use the y
=
m
x
+
b format.
Slope is equal to the change in y over the change in x
, or rise over run.
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
![m=\frac{y_{2-y_{1} } }{x_{2-y_{1} } }](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2-y_%7B1%7D%20%7D%20%7D%7Bx_%7B2-y_%7B1%7D%20%7D%20%7D)
Substitute in the values of x and y into the equation to find the slope.
![m=\frac{0-(5)}{\frac{2}{6} -(2)}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B0-%285%29%7D%7B%5Cfrac%7B2%7D%7B6%7D%20-%282%29%7D)
Multiply the numerator and denominator of the complex fraction by 3
.
Finding the slope m
.
![m=-\frac{3}{4}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B3%7D%7B4%7D)
Find the value of b using the formula for the equation of a line.
![b=\frac{13}{2}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B13%7D%7B2%7D)
Find the x-intercepts.
To find the x-intercept(s), substitute in 0 for y and solve for x
.
![0=-\frac{3}{4}x+\frac{13}{2}](https://tex.z-dn.net/?f=0%3D-%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B13%7D%7B2%7D)
solve the equation
![x=\frac{26}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B26%7D%7B3%7D)
x-intercept(s): ![(\frac{26}{3},0)](https://tex.z-dn.net/?f=%28%5Cfrac%7B26%7D%7B3%7D%2C0%29)
Find the y-intercepts.
To find the y-intercept(s), substitute in 0 for x and solve for y
.
![0=-\frac{3}{4}*0+\frac{13}{2}](https://tex.z-dn.net/?f=0%3D-%5Cfrac%7B3%7D%7B4%7D%2A0%2B%5Cfrac%7B13%7D%7B2%7D)
![y=\frac{13}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B13%7D%7B2%7D)
y-intercept(s):
Answer:
a = 16
Step-by-step explanation:
6 = a/4 + 2
Switch sides.
a/4 + 2 = 6
Subtract 2 from both sides.
a/4 = 4
Multiply both sides by 4.
a = 16