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m_a_m_a [10]
3 years ago
15

Use the drawing tool(s) to form the correct answer on the provided graph.

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0

Answer:

<h2>(-7, 0) and (0, -7)</h2>

Step-by-step explanation:

Draw the graph of x = - y - 7.

Convert to the slope-intercept form (y = mx + b):

x = -y - 7      <em>add y to both sides</em>

x + y = -7     <em>subtract x from both sides</em>

y = -x - 7

This is the straight line equation. We only need two points to plot the graph.

Choose any value of x, put to the equation and calculate the value of y.

for x = 0:

y = -0 - 7 = -7 → (0, -7)

for x = -7:

y = -(-7) - 7 = 7 - 7 = 0 → (-7, 0)

Mark points in the coordinate system and draw a line.

The intersection points of the circle and the line are the solution.

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8 0
4 years ago
1) Eliot and William went hiking. They went at the same speed. Eliot's hike was 8 miles, and William's hike was 12 miles. It too
Vitek1552 [10]

Answer:

1) 2 hours

2) 96 miles

Step-by-step explanation:

1) Eliot and William went hiking. They went at the same speed. Let x mph be their speed.

<u>Elliot:</u>

Distance = 8 miles

Speed = x mph

Time =\dfrac{8}{x} hours

<u>William:</u>

Distance = 12 miles

Speed = x mph

Time =\dfrac{12}{x} hours

It took Eliot 40\ min=\dfrac{40}{60}\ hour=\dfrac{2}{3}\ hour less than William, then

\dfrac{8}{x}+\dfrac{2}{3}=\dfrac{12}{x}\\ \\\dfrac{2}{3}=\dfrac{12}{x}-\dfrac{8}{x}\\ \\\dfrac{2}{3}=\dfrac{4}{x}\\ \\2x=3\cdot 4\ \ [\text{Cross multiply}]\\ \\2x=12\\ \\x=6\ mph

So, William's hike was

\dfrac{12}{6}=2

hours long.

2) <u>Initially:</u>

Distance = 120 miles

Speed = 55 mph

Time =\dfrac{120}{55}=2\dfrac{10}{55}=2\dfrac{2}{11}\ hours

<u>Final:</u>

Speed = 44 mph

Time =2\dfrac{2}{11} hours

Distance =44\cdot 2\dfrac{2}{11}=44\cdot \dfrac{24}{11}=4\cdot 24=96\ miles

8 0
3 years ago
Can someone help me answer questions
ANEK [815]
Add 6 to both sides
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4 years ago
The following set of ordered pairs is an example of direct variation, find the constant ratio between the variables. (Hint: Find
Serhud [2]
Direct variation looks like
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(5, 10)    k=10/5=2
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Answer:A.k=2.</span>
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4 years ago
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Answer:

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Step-by-step explanation:

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