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Rina8888 [55]
3 years ago
10

What is the relationship between the slope of the line and the side lengths of the triangles? ​

Mathematics
1 answer:
lisov135 [29]3 years ago
5 0

For the smaller triangle, the rise is 2 since this is the length of the vertical component. The horizontal component is 3, meaning the run is 3

Slope = rise/run

Slope = 2/3

---------------

The larger triangle leads to the same slope because

slope = rise/run

slope = 4/6

slope = (2*2)/(2*3)

slope = 2/3

Because we get the same slope value, this confirms that both triangles have their hypotenuse on the same straight line.

The two triangles are similar. The larger triangle's sides are twice as long as its smaller counterpart.

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What is the vertex of the graph of f(x) = |x 3| 7? (3, 7) (7, 3) (–3, 7) (7, –3).
KatRina [158]

The vertex of the given modulus function is (3,-7).

Given information:

The given modulus function is,

f(x)=|x-3|-7

It is required to find the vertex of the given function.

<h3>What is the vertex of a modulus function?</h3>

Modulus function is in the shape of V. The notch of V is the vertex of the function.

The given function can be defined as,

f(x)=x-10;x\geq3\\&#10;f(x)=-x-4;x

From the above function, it can be concluded that the vertex of the function should be (3,-7). Also shown in the attached image.

See the attached image.

Therefore, the vertex of the given modulus function is (3,-7).

For more details about modulus function, refer to the link:

brainly.com/question/18793028

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2 years ago
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Total cost to rent a row boat is $16 times the number of hours the boat is used write an equation to the model this situation if
LUCKY_DIMON [66]
C = 16h

This is the basic set up of a cost function which is a direct correlation. 
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3 years ago
Which decimal is equivalent to 3 1/8​
levacccp [35]

Answer:

3.125

Step-by-step explanation: np

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Each sandbag holds 27 pounds of sand, and it takes 53 bags to go all the way around Wilma's house. How many pounds of sand does
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3 years ago
N is an integer and -2
aliya0001 [1]

Answer:

(2) n > 6 (3) -4, -3, -2, -1, 0, and 1.

Step-by-step explanation:

(2) to solve first we subtract 12n from both sides making it 3n > 18 then we divide 3...making it n>6 (remember if you're solving an inequality its not unlike solving an equation)

(3) For this let's separate it into -2<n+3 which solving gets us n > -5

Steps: we subtract 3 from both sides again which makes it -5 < n but usually the variable should go to the left of an equality so n> -5

The other part is n+3 is less than equal to 4. which equals n is less than equal to 1 (I think you get how to solve now :)

once we combine both of the inequalities you'll get -5<n less than equal to 1. Which means the possible values are -4, -3, -2, -1, 0, and 1.

6 0
2 years ago
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