First step is 5+7(36x+8y) because you have to distribute
Formula: y = mx + b
m being the slope
Slope given: -2, plug it in
Y = -2x + b
Now find y intercept (b)
Plug in the point (5,-11)
-11 = -2(5) + b
-11 = -10 + b, b = -1
Solution: y = -2x -1
Question 7: Option 1: x = 33.5°
Question 8: Option 3: x = 14.0°
Step-by-step explanation:
<u>Question 7:</u>
In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle
So,
Perpendicular = P = 32
Hypotenuse = H = 58
So,

Rounding off to nearest tenth
x = 33.5°
<u>Question 8:</u>
In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x
So,
Perpendicular = P = 5
Base = B = 20
So,

Rounding off to nearest tenth
x = 14.0°
Keywords: Right-angled triangle, trigonometric ratios
Learn more about trigonometric ratios at:
#LearnwithBrainly
B. triangle and triangular prism
Answer:
A)
y^2-6y = 0
or, y(y-6) = 0
or, y = 0 or y = 6
B)
n^2+5n+7 = 7
or, n^2+5n+7-7 = 7-7 ( Subtracting 7 from both sides)
or, n^2+5n = 0
or, n(n+5) = 0
or, n=0 or n= -5
C)
2t^2-14t+3 = 3
or, 2t^2-14t = 0
or, 2t(t-7) = 0
or, t=0 or t=7
D)
1/3x^2+3x-4 = -4
or, 1/3x^2+3x = 0
or, 1/3x(x+9) = 0
or, x=0 or x= -9
E)
Zero is a common solution to each of the equations. This is because each of the equations had a variable outside the parenthesis with an operation of multiplication.
THANK YOU FOR READING.