Solve each equation. You must show all work.

Please help I will mark brainlist if correct

love history [14]

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Equation
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$y - 9 = - \dfrac{1}{2} (x + 2)$

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Rearrange the equation
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$y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
 y - 9 = - \dfrac{1}{2}x - 1 \\ \\
 y - 9 + 9 = - \dfrac{1}{2}x - 1 + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
 y = -\dfrac{1}{2}x + 8$

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slope of the perpendicular line
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slope = 2

(*the slope of the perpendicular line is the negative reciprocal of the slope of line)

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Substitute slope into equation y = mx + c
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y = 2x + c

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Find y-intercept
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y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

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Substitute y-intercept into the equation y = 2x + c
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y = 2x + 4

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Answer: y = 2x + 4
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3 0

3 years ago

What relationship is formed by a line of symmetry and the line between opposite points in the symmetry

Anettt [7]

Answer:

A line of symmetry and the line between opposite points in the symmetry are perpendicular to each other.

Explanation:

A line of simmetry splits the figure into two identical halves.

Suppose you have a symmetrical plane figure (like a square or a circle), the line of symmetry divides such figure in two sides: call them the left side and the right side.

The reflection of each point on the right side is a point on the left side along the perpendicular line that joins the two points and the line of symmetry.

For instance, if the line of symmetry is vertical, such as the x-axis, the line between the opposite points in the symmetry is horizontal, i.e. perpendicular to the x-axis (the line of summetry).

6 0

3 years ago

I forgot how to do this!! i'd like help please!!

user100 [1]

Answer:

9) 28

10) 22

Step-by-step explanation:

collinear means on the same line

9 ) AB+BC=AC

16+12=28

10) 13+9=22

3 0

3 years ago

I need help for 7 and 8. i also need the solution on how you get the answer. thanks in advance!

ycow [4]

7) Rectangular pyramid:
Length = 8m ; width = 4.6m ; Volume = 88m³

Volume of a rectangular pyramid = (Length * Width * Height)/3
88m³ = (8m * 4.6m * height)/3
88m³ * 3 = 36.8m² * height
264m³ = 36.8m² * height
264m³ / 36.8m² = height
7.2 m = height

8) Cone:
r = 5 in ; volume = 487 in³

Volume of a cone = π r² h/3
487 in³ = 3.14 * (5in)² * h/3
487 in³ * 3 = 3.14 * 25in² * h
1,461 in³ = 78.5 in² * h
1,461 in³ / 78.5 in² = height
18.6 in = height

8 0

3 years ago

Solve each given equation and show your work.

Eduardwww [97]

Answer:

(a) x = 3

(b) y = 6

(c) false/not true

(d) x = 5

Step-by-step explanation:

(A) 2 + x = 5 You would subtract the 2 from both sides which gives you x = 3

(B) 8y = 48 You would divide 8 from both sides which is 6 so y = 6

(C) 23 = 26 That is not true because 23 does not equal 26

(D) -7x - 3x + 2 = -8x - 8 First simplify the equation; -10x + 2 = -8x - 8. Next, you want to subtract 2 from both sides which gives us -10x = -8x - 10. Now you want to add 8x to both sides which is -2x = -10. And now you just divide -2 on both sides which gives us the answer 5. So, x = 5. I hope this helps. Let me know if one of the answers are incorrect.

3 0

3 years ago