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serg [7]
4 years ago
7

What is the length of the hypotenus of a right triangle in each of the two legs is 7 units

Mathematics
1 answer:
vlada-n [284]4 years ago
8 0

To find the hypotenuse of a right triangle, use the following formula:

c=\sqrt{a^2+b^2}

Your a and your b are your legs. Plug them in. In this case, we plug in 7 for both.

c=\sqrt{7^2+7^2}

c=\sqrt{49+49}

c=\sqrt{98}

Your answer would be:

Approximate: 9.9

Exact: 7\sqrt{2}

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A pair of perpendicular lines intersect at the point (5,9). Write
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Answer:

The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18

Step-by-step explanation:

The coordinates of the point of intersection of the two lines = (5, 9)

The coordinates of a point on one of the two lines, line 1 = (-4, 4)

The slope of a line perpendicular to another line with slope, m = -1/m

Therefore, we have;

The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9

Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5

The equation of the line 2 is given as follows;

y - 9 = -9/5×(x - 5)

y - 9 = -9·x/5 + 9

y =  -9·x/5 + 9 + 9

y = -9·x/5 + 18

Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.

6 0
3 years ago
Select all points that are on the graph of the line
Marysya12 [62]

Answer:

0,3

Step-by-step explanation:

Well 0,3 is the only one that is on here... I apologize if I am wrong!

7 0
3 years ago
Solve for L: A = L ⋅ W ⋅ H (1 point)
butalik [34]

Answer:

L= A/WH

Step-by-step explanation:

Off topic Btw it reminds me of area = length * width/height

7 0
3 years ago
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in a survey of 500 voters 430 said they would vote for the same candidate again what percent of the voters would vote the same w
Nina [5.8K]

Answer:

86%

Step-by-step explanation:

<u>430</u><u> </u> × <u>100</u> = <u>430</u> = 86%

500 1 5

you are going to cancel. 100 divided by 100 leaves 1. 500 divided by 100 is 5.

430×1= 430. 5×1=5. divide 430 by 5 and you"ll get 86.

8 0
3 years ago
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A student wants to find point C on the directed line segment from A to B on a number line such that the segment is partitioned i
olganol [36]

Answer:

<u>Point C at (-18/7)</u>

Step-by-step explanation:

Point A is at -6 and point B is at 2.

So, the distance between A and B = 2 - (-6) = 8

point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.

Let the distance AC = x

∴ BC = 8 - x

AC : CB = 3 : 4

∴\frac{AC}{CB} =\frac{3}{4} = \frac{x}{8-x}

Using cross multiplication

3 (8-x) = 4x

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24 = 7x

x = 24/7

So, Point C = -6 + 24/7 = -18/7

Point C at (-18/7)

7 0
3 years ago
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