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telo118 [61]
3 years ago
15

Ria solves the equation 5 + 3r = 4 + 4r and gets r = r. She concludes that the

Mathematics
1 answer:
Alona [7]3 years ago
7 0
5+3r=4+4r
subtract 4 from both sides
1+3r=4r
subtract 3r from both sides
1=r
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Using graph paper, determine the line described by the given point and slope. Click to show the correct graph below. (0, -2) and
BaLLatris [955]

Answer:

y = -(5/2)x -2

Explanation:

The general formula for a straight line is y – mx + b.

The image below shows the graph of the line.

Step 1. <em>Calculate the slope</em>.

Slope = m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

x₁ = 0; y₁ = -2

x₂ = -2; y₂ = 3     Calculate m

m = [3-(-2)]/(-2-0)

m = (3+2)/(-2)

m = 5/(-2)

m = -5/2

Step 2. <em>Calculate the y-intercept </em>

When x = 0, y = 2.

The y-intercept (b) is at y = -2

Step 3. <em>Write the equation </em>for the graph

y = mx + b

y = -(5/2)x - 2

3 0
3 years ago
Read 2 more answers
A square with an area of 144cm is reduced by a factor of 1/3. How long are the new sides of the square?
denis23 [38]

Answer:

9.797. . .

Step-by-step explanation:

2/3 of 144 is 96

\sqrt{96} = 9.797...

8 0
3 years ago
What are the solutions of the equation 3x^2+6x-24=0
Alekssandra [29.7K]

Answer:

x = - 4, x = 2

Step-by-step explanation:

Given

3x² + 6x - 24 = 0 ( divide through by 3 )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

5 0
3 years ago
A. the letter on the back will be D
kap26 [50]

Answer: B

from the first image, the opposite of B is D. so whenever its rotated somehow, D is going to fall on the opposite of B. Therefore when B is at the top, D should be at the opposite on the bottom. Thus we found our answer. B is the correct answer. others are eliminated.

6 0
3 years ago
On an architect's drawing of a house, 1 inch represents 7 feet. If the bedroom window is 5 inches long on the drawing, how long
Pavel [41]
We can use ratios here. The real size would have to be proportional, meaning that if I increase the line on the drawing 5 times, the real size would have to increase 5 times as well.

We can obviously see, after having said that, that the real window would have to be 35ft long (because we multiplied 1 inch by 5, and if 1 inch represents 7 feet, then we also have to multiply that by 5 so it’s proportional, and 7*5=35)

We can check too — 1 in : 7 ft = 5 in : x ft

x = (7ft * 5in) / 1in — we would get the same result :)
8 0
3 years ago
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