The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) us

The correct answer is Option (D). The subtraction property of equality asserts that whatever is subtracted from one side of an equation must also be subtracted from the other side. In the instance where x + 2 = 2, applying this property leads to: x + 2 - 2 = 2 - 2, simplifying to x = 0. However, the provided question displays the addition property of equality utilized in step 2, indicating that the subtraction property was not applied there. Consequently, Option (D) is the correct response.

If $24 is the price for the 5 used CDs, then your formula would be "24+5x" where x represents the count of additional CDs you buy.

24+5(6-5)

24+5(1)

24+5

=29

Thus, acquiring 6 CDs would cost $29

I hope that’s accurate, good luck^^

The correct answer is "His teacher advised it because he did not have time to tutor Euler privately." I completed the assignment and got it correct.

Answer:

Step-by-step explanation:

Given:

KL ║ NM,

LM = 45

m∠M = 50°

KN ⊥ NM  

NL ⊥ LM

To determine: KN and KL

1. Analyzing triangle NLM, we see it is a right triangle due to NL ⊥ LM. In this context,

LM = 45

m∠M = 50°

Consequently,

It is also true that

(angles LNM and M are complementary).

2. Now considering triangle NKL, it also forms a right triangle as KN ⊥ NM. Within this triangle,

(alternate interior angles)

(angles KNL and KLN are complementary).

Thus,

and

Answer:

Red paint will cover 262 square feet

of the ramp.

Step-by-step explanation:

The lateral surface area represents the surface area of the sides of the ramp without including the top and bottom surfaces

This ramp has three surfaces

The two sides are triangular with dimensions of length 20 and height 8.5

The back consists of a rectangular shape with length 12 and height 8.5

Step 1: Calculating the Area of Triangle

The area of the triangular side =

The area of the triangle =

The area of the triangle =    

Thus, the area of the triangle = 85 square feet

Area of both triangles =  =  170

Step 2: Finding the Area of Rectangle

Area of rectangle =

therefore,

Area of the rectangular back = = 102  square feet

Step 3: Calculating the total lateral surface area

Overall Lateral Surface Area

= Area of triangles + Area of Rectangle

= 272 square feet