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3 years ago

Convert 4x + 2y = 25 from standard form to slope intercept form Show your steps

Mathematics

1 answer:

Zigmanuir [339]3 years ago

7 0

Answer:

Step-by-step explanation:

Slope intercept form is y = mx + b.

You must solve the equation for y.

4x + 2y = 25

Subtract 4x from both sides.

2y = -4x + 25

y = -2x + 25/2

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What is the Value of x? <br> 30 = x -17

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47, you would add the seventeen to the opposite side.

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3 years ago

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A analog clock (with hour and minute hands) is set to 5:00 P.M. After 30 min, what will the measure of the major arc formed by h

VikaD [51]

Answer:

180 degrees

Step-by-step explanation:

Given

$Time = 5:00pm$

Required

The measure of the major arc, 30 minutes after

First, we calculate the time after 30 minutes

$Time = 5:00pm +30\ mins$

$Time = 5:30pm$

At 5:30pm, the hour and the minute hand will be directly opposite each other.

In other words, the hands divide the time into two equal parts (180 degrees each)

At this point, there is no major or minor arc as both sides have the same measurement

<em>Hence, the measure of the arcs is 180 degrees</em>

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3 years ago

7th time’s a charm I genuinely just want to understand how to do this :( please! If f(x) is a linear function, what is the value

andre [41]

I think it would be nine

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3 years ago

A composite figure is shown.

VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

For the cube

Surface area of a cube is given by

$S = 6l^{2}$

Where $l$ is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = $5l^{2}$

From the given information,

$l = 6 \ feet$

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

For the square prism

The surface area of a square prism is given by the formula,

$S = 2l^{2} + 4lh$

Where $l$ is the length of the sides and

$h$ is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = $2l^{2} + 4lh - 2l^{2}$

Surface area of the square prism in the figure = $4lh$

From the given information,

$l = 6 \ feet$

$h = 20 \ feet$

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

$S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }$

Where $l$ is the base length

and $h$ is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = $l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})$

Surface area of the pyramid part of the figure = $2l\sqrt{\frac{l^{2} }{4}+h^{2} }$

From the given information,

$l = 6 \ feet$

$h = 4 \ feet$

∴ Surface area of the pyramid part of the figure = $2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }$

= $12\sqrt{\frac{36 }{4}+16}$

= $12\sqrt{9+16 }$

= $12\sqrt{25}$

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

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2 years ago

How do you figure out the reciprocal of a numer? E.g 5, 2/7 and 1&2/5 ??

eimsori [14]

You need to multiply 1 and 5 plus 2.
and for 5 2/7 it would be 5 times 7 plus 2.

So...
5 2/7= 37/7

1 2/5= 7/5

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4 years ago