A prism's volume is the area of the face that does not have more than 1 equal counterpart mulitplied by the height of the entire prism, in which the height of the prism is not any of the sidelengths of the face whose area is being multiplied.
If y=8-x then you can plug that into the equation like 7=2-(8-x). When you distribute the equation becomes 7=2-8+x. Once you combine like terms the equation becomes 7=-6+x. Then you subtract 6 from both sides, which gives you 13=x.
To find y just put 13 where x was in the first equation. Y=8-13.
Y=-5
X=13
Answer:
Guided Practice 4: QR = 7.12
Guided Practice 5: x = 15
Step-by-step explanation:
<u>Guided Practice 4:</u><u> </u>
Given that:
PR = 
PQ = 
QR = ?
PQ + QR = PR
6.63 + QR = 13.75
Subtract 6.63 from both sides of the equation to solve for QR:
6.63 - 6.63 + QR = 13.75 - 6.63
QR = 7.12
Check if QR is valid:
PQ + QR = PR
6.63 + 7.12 = 13.75
13.75 = 13.75 (true statement).
<u>Guided Practice 5</u>:
Given that:
AC = 4x - 12
AB = x
BC = 2x + 3
AB + BC = AC
x + (2x + 3) = 4x - 12
Combine like terms:
3x + 3 = 4x - 12
Add 12 on both sides of the equation:
3x + 3 + 12 = 4x - 12 + 12
3x + 15 = 4x
Subtract 3x from both sides of the equation:
3x - 3x + 15 = 4x - 3x
15 = x
Check if AB = x is valid by plugging in 15 to x values in the equation:
AB + BC = AC
15 + 2(15) + 3 = 4(15) - 12
15 + 30 + 3 = 60 - 12
48 = 48 (True statement)
Answer:
y - 11 = -8(x - 1)
Step-by-step explanation:
We are told Hamid’s instruments read 11 ft above his marker 1 hour before.
Where y is tide level and x is time.
Thus, x1 = 1 and y1 = 11
Since graph of yesterday's data is y = -8x - 2,then in slope intercept form, the equation parallel is;
y - y1 = m(x - x1)
m is -8.
Thus; y - 11 = -8(x - 1)