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NeTakaya
3 years ago
8

The points (7,r) and (8,9) fall on a line with a slope of 5. What is the value of r?

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
7 0

Answer:

r = 4

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 5

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, r ) and (x₂, y₂ ) = (8, 9)

m = \frac{9-r}{8-7} = \frac{9-r}{1} = 9 - r = 5 ( subtract 9 from both sides )

- r = - 4 ( multiply both sides by - 1 )

r = 4

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Step-by-step explanation: 2,815 + 315 = 3,130

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3 years ago
Given two angles in each triangle, how can you determine if two triangles are similar?​
goldenfox [79]

Answer:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Step-by-step explanation:

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3 years ago
Read 2 more answers
The length of a rectangle is (x+5) and the width is (x+2). The area of the rectangle is 70 square feet. What is the length of th
vaieri [72.5K]

Answer:

The length of the rectangle is 30 feet.

Step-by-step explanation:

Because the equation for area is length times width, you would have to set the two equations to seventy and multiply them.

<em>     (x+5) (x+2) = 70</em>

<em>     </em><em>2x + 10 = 70</em>

Then, you would have to subtract ten from both sides, cancelling it from the left side.

<em>     2x = 60</em>

<em />

Then do the opposite and divide sixty by two, therefore getting a length of thirty feet.

7 0
3 years ago
The power, P (watts) , of a car engine is proportional to the square of its speed, s ( m / s ) . When s = 30 , P = 1260 . Work o
Lapatulllka [165]

Answer:

875 Watts

Step-by-step explanation:

Given that :

P α s²

P = ks²

Where k is the proportionality constant

When ; p = 1260 ; s = 30

1260 = k * 30²

1260 = 900k

k = 1260 / 900

k = 1.4

Value of p ; when s = 25

P = 1.4 * s²

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6 0
3 years ago
Place values for 249.673
irakobra [83]
Hi! 

This question is worded a little funny, but i think in understand what it's asking. Forgive me if i'm wrong. 

Place values in math are pretty self-explanatory. It's just asking you what place each number is in.

For example:

If you were to write the number 12, the 1 would be in the tens place and the 2 would be in the ones place. 

When speaking about decimals, you pretty much just have to add the letters 'th' to the end of the place value, but instead of decreasing as the numbers grow smaller, you increase and the ones place doesn't exist. 

So in this case:

With 249.637, 2 is in the hundreds place. 4 is in the tens place. 9 is in the ones place. 6 is in the tenths place. 7 is in the hundreths place. 3 is in the thousandths place. 

Hope this helps :)
3 0
3 years ago
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