Answer:
y=-9x-4
Step-by-step explanation:
Perpendicular lines meet the following condition:
m2*m1= -1 (a)
where m is the slope of a line
m1 is given through equation of line 1, y =1/9 x+2
m2 must be -9 -> from eq. (a)
The Line has the following equation: y=mx+b, where m=-9 and the b is the interception with y axis.
Evaluating the above equation in (-1,5) we have the following equation
5= -9*(-1)+b, we have b=-4
The line has the following equation
y=-9x-4
Slope intercept form
You have to combine like terms (terms that have the same variable(x,y....) and power/exponent)²³
(4x³ - 4 + 7x) - (2x³ - x - 8) Distribute -1 into (2x³ - x - 8)
(4x³ - 4 + 7x) + (-)2x³ - (-)x - (-)8 (two negative signs cancel each other out and become positive)
(4x³ - 4 + 7x) - 2x³ + x + 8 Now combine like terms
4x³ - 2x³ + 7x + x - 4 + 8 (I rearranged for the like terms to be next to each other)
2x³ + 8x + 4 It is equivalent to B
Combine like terms
(I rearranged for the like terms to be next to each other)
It is equivalent to D
(x² - 2x)(2x + 3) Distribute x² into (2x + 3) and distribute -2x into (2x + 3)
(x²)2x + (x²)3 + (-2x)2x + (-2x)3
When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together
2x³ + 3x² - 4x² - 6x Combine like terms
2x³ - x² - 6x It is equivalent to A
[Info]
When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (You can combine the exponents only if they have the same variable)
For example:

(You can't combine them because they have different exponents of y and x)

Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
n = 8
Step-by-step explanation:
Have a nice day! I hope this helps!
Given:
Net of a triangular prism
To find:
Which equation can be used to calculate the surface area of the triangular prism.
Solution:
Using formulas:
Area of rectangle = length × width
Area of triangle = 
Area of left triangle = 
Area of right triangle = 
Area of bottom = 5 × 10
Area of Middle = 12 × 10
Area of top = 13 × 10
Surface area of triangular prism:
Surface area = Area of left triangle + Area of right triangle + Area of bottom + Area of middle + Area of top

Replace multiplication by brackets.

The equation can be used to calculate surface area of triangular prism is
.
Answer:
Option D is correct.
Angle C = 70°
Step-by-step explanation:
The sum of angles in a triangle = 180°
So,
(Angle A) + (Angle B) + (Angle C) = 180°
(Angle A) = 67°
(Angle B) = 43°
(Angle C) = ?
67° + 43° + (Angle C) = 180°
Angle C = 180 - 67 - 43 = 70°
Angle C = 70°
Hope this Helps!!!