Step-by-step explanation: To shift the graphs up and down on the coordinate system, you need to manipulate or change the y-intercepts.
The y-intercept is just the constant term in the equation.
As long as the slopes remain the same, the graphs can be
translated up or down by changing the constant value.
Take a look at these lines graphed below.
Notice that y = x + 11 is the same as y = x + 4 but
y = x + 11 is translated 7 units down to get y = x + 4.
Answer: 56 inches
Step-by-step explanation:
a. 60+58+64+72=254 (Add the average of his family without including him)
a. 62x5=310 (The average times 5, cause there are 5 of them will get you the total number of inches)
b. 310-254=56 (Subtract the total number of the 5 of them with the 4 of them to find Bill's height)
you can check your answer by adding all their heights.
Answer:
P = 6x-2
x = 14
Step-by-step explanation:
To find the perimeter, we add the sides
P = 4x-8 + 3-2x + 5x+3
Combine like terms
P = 4x-3x+5x -8+3+3
= 6x -2
Now we know the perimeter
82 = 6x-2
Add 2 to each side
82+2 = 6x-2+2
84 = 6x
Divide each side by 6
84/6 = 6x/6
14=x
Answer:
y=45
x=9
z= 9 root 2
Step-by-step explanation:
This is a right isosceles triangle, so
y=45
x=9
z= 9 root 2
9²+9²=z²
81+81=z²
162=z²
√162=z
z=9√2
Answer:
Step-by-step explanation:
WY is the diameter.
WX and XY sum to 180° as half the circle.
<u>Central angle is equal to intercepted arc:</u>
- mXY = m∠XVY = 87°
- mWX = 180° - mXY = 180° - 87° = 93°
Correct choice is C
