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Lelu [443]
3 years ago
6

Y=x y=-6x–14 (substitution method)

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

Answer:

The solution is the point (-2,-2)

Step-by-step explanation:

we have

y=x ----> equation A

y=-6x-14 ----> equation B

Solve the system by substitution

substitute equation A in equation B

x=-6x-14

Solve for x

6x+x=-14\\7x=-14\\x=-2

Find the value of y

substitute the value of x in the equation A

y=x

so

y=-2

therefore

The solution is the point (-2,-2)

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Multiply the polynomials. (5x2 + 2x + 8)(7x – 6) A. 35x3 – 16x2 – 44x – 48 B. 35x3 – 14x2 + 44x – 48 C. 35x3 – 16x2 + 44x + 48 D
ZanzabumX [31]

Answer:

D) 35x³ - 16x² + 44x - 48

Step-by-step explanation:

(5x2 + 2x + 8)(7x – 6) = (5x2 + 2x + 8)* 7x + (5x2 + 2x + 8)*(– 6)

= (5x2*7x + 2x*7x + 8*7x) + (5x2*(-6) + 2x*(-6) + 8*(-6) )

=35x³ + 14x² + 56x - 30x² - 12x - 48

= 35x³ - 16x² + 44x - 48

5 0
3 years ago
Samir bought 3 pounds of cement to repair the cracks in his sidewalk.Each crack needs to be filled with 2 ounces of cement. Will
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Answer: He will divide to convert pounds to ounces.

Step-by-step explanation:

7 0
3 years ago
Please help guys -_-
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Answer:

C. the remainder must always be less than the dividend

5 0
3 years ago
Read 2 more answers
6 Paul runs 1.5 km on the bearing 127°. a Draw a diagram of the situation. b How far east is Paul from his starting point? ( How
GenaCL600 [577]

By running in a bearing of 127°, Paul motion is in the south eastern direction.

Correct responses:

a. Please find attached the required diagram created with MS Visio

b. Paul's distance travelled east is approximately 11.98 km

  • Paul's distance travelled south is approximately 0.903 km

<h3>Method used for diagram and for the distance calculation</h3>

Given:

The distance Paul runs = 1.5 km

The bearing Paul is running = 127°

a. The bearing of path Paul runs, 127°, is the angle measured in the clockwise direction relative to the northern direction

Please find attached the diagram representing the situation, created with MS Visio.

b. Paul's distance travelled east relative to the starting point is given by the component of Paul's path in the x-axis direction which is found as follows;

  • Paul's distance east =  15 km × cos(37°) ≈ <u>11.98 km</u>

Pau's distance travelled in the south direction relative to the starting point

is given by the vertical distance travelled relative to the x-axis, which is

given as follows;

Distance Paul travels south = 1.5 km × sin(37°) ≈ <u>0.903 km</u>

Learn more about bearings in trigonometry here:

brainly.com/question/23427938

5 0
2 years ago
Is d= -12 a solution to the equation 8d+6= -8d-186
kupik [55]

Answer:

It is a solution

Step-by-step explanation:

8d+6= -8d-186

Add 8d to each side

8d+8d+6= -8d+8d-186

16d +6 = -186

Subtract 6 from each side

16d +6-6 = -186 -6

16d = -192

Divide each side by 16

16d/16 = -192/16

d = -12

8 0
3 years ago
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