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lora16 [44]
3 years ago
6

Write an equation of a line through (2,7.5) with an x-intercept of -1

Mathematics
1 answer:
Illusion [34]3 years ago
4 0

Answer:

<h2>y = (5/2)x + 5/2</h2>

Step-by-step explanation:

The coordinates of the given x-intercept are (-1, 0).

As we move to the right from (-1, 0) to (2. 7.5), x increases by 3 and y by 7.5.

Thus, the slope of this line is m = rise / run = 7.5 / 3, or 75 / 30, or 5/2.

Thus, starting from y = mx + b, we have:

7.5 = (5/2)(2) + b, or

7.5 = 5 + b

Thus, b = 2.5, and the equation is

y = (5/2)x + 5/2

check:  Is 7.5 = (5/2)(2) + 5/2 true?

             Is 7.5 = 5 + 5/2 true?  YES

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Two stores offer differently priced sales for the same paper towels, according to the table below. Which store offers the better
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store 2 : 10 paper towels for 3.50
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the better deal is store 1 with paper towels costing 30 cents per roll
5 0
2 years ago
Read 2 more answers
Cos (pi/2 -x) = sin x is this true or false?
Ksenya-84 [330]

The above statement is true meaning cos(π/₂-x)=sin(x)

Step-by-step explanation:

We know that sine and cosine function are mutual cofunctions.

Hence this would mean that these two functions are complimentary of each other meaning cos(π/₂-x) = sin(x)

This can be verified mathematically by assuming “x” as 30°

Hence Cos (π/₂-30°) = cos 60°= 0.5 (from trigonometric table values)

Similarly Sin 30°= 0.5 (from trigonometric table values)

This can be proved through using the formula

Cos(A-B)= Cos A.Cos B + Sin A.Sin B

Here A=90° and b=x°

Putting the values we get (it is to be remembered that cos 90°=0 and sin 90°=1)

Cos 90°.cos x+ sin 90.sin x

0+sinx= sinx

Hence it is proved that cos(π/₂-x)=sin(x)

 

7 0
3 years ago
4. The diagram in this figure illustrates a _______ angle.
Basile [38]

Answer:

C)   The diagram in this figure illustrates a reflex angle

Step-by-step explanation:

Given : A diagram with an angle.

To find : The diagram in this figure illustrates a _______ angle.  

Solution : We can see from figure it is greater than 180 degree and less than 360 degree.

By the definition of reflex angle : The reflex angle is the larger angle. It is more than 180° but less than 360°.

Therefore,  C)   The diagram in this figure illustrates a reflex angle.

8 0
2 years ago
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Three times a number w is less than 18. The inequality is
Alla [95]

Answer:

W<6

Step-by-step explanation:

3 times W

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3 0
2 years ago
Answer this please, thanks
beks73 [17]

Answer:

300ft^3

Step-by-step explanation:

I'm guessing what the question meant be triangular is a triangular prism.

The volume formula for a triangular prism is 1/2(lwh)

L=10

W=10

H=6

(6)(10)(10)=600

600/2=300

V=300ft^3

Hope this helps! :)

8 0
2 years ago
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