Answer:
gradient is 8 and y intercept is 0
Step-by-step explanation:
y=mc+b
take one pair of corridants:
8=1m+b
m=8 (change in y values/changes in x values)
8=1x8+b
do the equation
y=0
Have a nice day!!!!!!!!! :-)
<u>KA</u>
Answer:
Vertex is (-8, 4) not one of the answers offered!
Step-by-step explanation:
Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.
![y=-\frac{1}{8}(x^2 + 16x + \text{-----})-4](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B8%7D%28x%5E2%20%2B%2016x%20%2B%20%5Ctext%7B-----%7D%29-4)
Complete the square by squaring half the coefficient of <em>x </em>and adding it in the space.
![(\frac{16}{2})^2=64](https://tex.z-dn.net/?f=%28%5Cfrac%7B16%7D%7B2%7D%29%5E2%3D64)
Add 64 in the space you made, then compensate for that at the end of the expression by <u>subtracting</u> ![-\frac{1}{8}(64)=-8](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B8%7D%2864%29%3D-8)
![y=-\frac{1}{8}(x^2+16x+64)-4+8\\y=-\frac{1}{8}(x+8)^2+4](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B8%7D%28x%5E2%2B16x%2B64%29-4%2B8%5C%5Cy%3D-%5Cfrac%7B1%7D%7B8%7D%28x%2B8%29%5E2%2B4)
The x-coordinate of the vertex is the <u>opposite</u> of +8, the number inside the parentheses. The y-coordinate of the vertex is the number at the end of the expression.
V(-8, 4)
The domain tells you about the independent variable, number of payments made. So the inequality should be
smallest number of payments made ≤ variable representing payments ≤ largest number of payments made.
The smallest number of payments is 0 and the largest is 8, so you'll have
<span><span>
0≤variable≤8</span></span>
Answer:
See explanation
Step-by-step explanation:
![\sin A = \frac{12}{20} = \frac{3}{5} \\ \\ \cos A = \frac{16}{20} = \frac{4}{5} \\ \\ \tan A = \frac{12}{16} = \frac{3}{4}](https://tex.z-dn.net/?f=%20%5Csin%20A%20%3D%20%20%5Cfrac%7B12%7D%7B20%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B5%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Ccos%20A%20%3D%20%20%5Cfrac%7B16%7D%7B20%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7B5%7D%20%20%20%5C%5C%20%20%5C%5C%20%5Ctan%20A%20%3D%20%20%5Cfrac%7B12%7D%7B16%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%20)
Answer:
x + y = 90 - - - (1)
y = 1/4x - - - - (2)
Step-by-step explanation:
x = larger acute angle
y = smaller acute angle
Recall:
A right angle measures 90°
Sum of angles in a triangle = 180°
y = 1/4x
Hence :
90 + x + y = 180
x + y = 180 - 90
x + y = 90 - - - (1)
y = 1/4x - - - - (2)
Put y = 1/4x in (1)
x + 1/4x = 90
1.25x = 90
x = 90 / 1.25
x = 72
x + y = 90
72 + y = 90
y = 90 - 72
y = 18