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Nady [450]
2 years ago
5

Please help me due tomorrow

Mathematics
1 answer:
Tom [10]2 years ago
5 0

<u>Given </u><u>:</u><u>-</u>

  • The slope of the line through points (3,y) and (4,10) is 7 .

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • The value of y .

<u>Solution</u><u> </u><u>:</u><u>-</u>

As we know that the slope of the line is difference of ordinate divided by the difference of absicca as ,

\longrightarrow m = y -10 / 3 - 4

\longrightarrow 7 (-1) = y -10

\longrightarrow -7 = y -10

\longrightarrow y = 10 -7

\longrightarrow y = 3

<u>Hence</u><u> the</u><u> required</u><u> answer</u><u> is</u><u> </u><u>3.</u>

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If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible
Evgen [1.6K]

Answer:

Volume = 7969 cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box  be A and the height of the box be H.

Area of material required to make the box  is equal to  is A^2 + 4*A*H.

A^2 + 4*A*H = 1900

 Rearranging the above equation, we get -  

`H = \frac{(1900 - A^2)}{(4*A)}

Volume of box is equal to product of base area of box and the height of the box -  

V = A*A* H

Substituting the given area we get -

\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}

For maximum volume

\frac{dV}{dA} =0

\frac{ 1900}{4} - \frac{3*A^2}{4} = 0

A^2 = \frac{1900}{3}

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3 0
3 years ago
Big ideas math 1.2 Practice A number 19
slega [8]

By applying Segment Addition Postulate, segment FH is equal to 24 units.

<h3>What is a point?</h3>

A point can be defined as a zero dimensional geometric object and it is generally represented by a dot.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

<u>Given the following data:</u>

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Since point H lies on line segment FG, we would apply Segment Addition Postulate to determine segment FH as follows:

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FH = 37 - 13

FH = 24 units.

Read more on line segment here: brainly.com/question/17617628

#SPJ1

Complete Question:

Given that line segment FG = 37 and segment HG = 13, find segment FH.

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2 years ago
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