Answer:
y = 1/2x + 5
Step-by-step explanation:
Given :
Slope, m = 1/2
(x1, y1) = (6, 8)
y - y1 = m(x - x1)
y - 8 = 1/2(x - 6)
y - 8 = 1/2x - 3
y - 8 + 8 = 1/2x - 3 + 8
y = 1/2x + 5
Stamdard form of equation :
y = mx + c
Hence, equation is :
y = 1/2x + 5
Answer:
x ≈ 20.42, y ≈ 11.71
Step-by-step explanation:
Using the cosine ratio on the right triangle on the right, that is
cos20° = 
= 
Multiply both sides by y
y × cos20° = 11 ( divide both sides by cos20° )
y = 
≈ 11.71
Using the sine ratio on the right triangle on the left, that is
sin35° = 
= 
= 
Multiply both sides by x
x × sin35° = 11.71 ( divide both sides by sin35° )
x = 
≈ 20.42
Step-by-step explanation:
I suppose you mean find the range for the following domain. Because when
g(x) is given the value of X
we are trying to solve the output value which is range.
If you want to solve for the domain, the question should give
g(x) = y
and provide the value of y.
X³+X²-X-2
Substitute
X=(-1)
-1+1-(-1)-2
= -1
g(-1)= -1
Substitute
X=(2)
8+4-2-2
=8
g(2)= 8
Substitute
X=(1)
1+1-1-2
=-1
g(1)= -1
g(2)+g(1)
=8-1
=7
By simple substitution on the left side and on the right side of the given equation, we have to
For <span>coordinates (-3,-9)
-9</span><span>=−8|-3+3|−9
-9</span><span>=−8|0|−9
</span> -9=−9
Therefore, it is demonstrated that<span> the coordinates of the vertex is
(-3,-9)</span>
Answer:
29, 19, 11, 77, 37, 23. I made prime number from given digit.
I hope you got it .
