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3 years ago

What is the slope of a line represented by the equation 2y = × - 4?

Mathematics

2 answers:

denis23 [38]3 years ago

8 0

<span>2y = × - 4 divide each side by 2
</span><span>y = 1/2x - 2

the slope is 1/2

</span>

IrinaVladis [17]3 years ago

4 0

Y=mx+b is the slope intercept form where m=slope and b=y intercept

so
2y=x-4
divide both sides by 2
y=1/2x-2
slope is 1/2

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(SHOW YOUR WORK PLZ AND EXPLAIN)

77julia77 [94]

H would be your answer (9x2)+(14x4)=74

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3 years ago

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A solid right pyramid has a square base. The length of the base edge is4 cm and the height of the pyramid is 3 cm period what is

Illusion [34]

Answer:

The volume of this pyramid is 16 cm³.

Step-by-step explanation:

The volume $V$ of a solid pyramid can be given as:

$\displaystyle V = \frac{1}{3} \cdot b \cdot h$ ,

where

$b$ is the area of the base of the pyramid, and
$h$ is the height of the pyramid.

Here's how to solve this problem with calculus without using the previous formula.

Imaging cutting the square-base pyramid in half, horizontally. Each horizontal cross-section will be a square. The lengths of these squares' sides range from 0 cm to 3 cm. This length will be also be proportional to the vertical distance from the vertice of the pyramid.

Refer to the sketch attached. Let the vertical distance from the vertice be $x$ cm.

At the vertice of this pyramid, $x = 0$ and the length of a side of the square is also $0$ .
At the base of this pyramid, $x = 3$ and the length of a side of the square is $4$ cm.

As a result, the length of a side of the square will be

$\displaystyle \frac{x}{3}\times 4 = \frac{4}{3}x$ .

The area of the square will be

$\displaystyle \left(\frac{4}{3}x\right)^{2} = \frac{16}{9}x^{2}$ .

Integrate the area of the horizontal cross-section with respect to $x$

from the top of the pyramid, where $x = 0$ ,
to the base, where $x = 3$ .

$\displaystyle \begin{aligned}\int_{0}^{3}{\frac{16}{9}x^{2}\cdot dx} &= \frac{16}{9}\int_{0}^{3}{x^{2}\cdot dx}\\ &= \frac{16}{9}\cdot \left(\frac{1}{3}\int_{0}^{3}{3x^{2}\cdot dx}\right) & \text{Set up the integrand for power rule}\\ &= \left.\frac{16}{9}\times \frac{1}{3}\cdot x^{3}\right|^{3}_{0}\\ &= \frac{16}{27}\times 3^{3} \\ &= 16\end{aligned}$ .

In other words, the volume of this pyramid is 16 cubic centimeters.

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2 years ago

Find two consecutive integers whose sum is 101

andreyandreev [35.5K]

The two integers that sum is 101 is 20.2 and 1

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3 years ago

Please awnser questions, no links, no I dont know

Mrac [35]

Answer:

330cm

Step-by-step explanation:

The formula to find the surface area of a rectangular prism is 2(lh+hw+lw)

(lh) in this formula is length times height

(hw) is height times width

(lw) is length times width

To find the answer to this problem lets make the height 3/5cm the width 10cm and the length 15cm

so now you would do (15*3/5) which is 9. This solve (lh)

then you would find (3/5*10) which is 6. This solves (hw)

and lastly you would find (15*10) which is 150. This solves (lw)

Now that you now the value of each one of these you replace it in the equation as so: 2(9+6+150)

now you solve the brackets which leaves us with 2(165)

now you multiply 2 with 165

and the answer is 330cm

Surface area = 330cm

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Kisachek [45]

8.6*9.2=79.12

Hope this helps!

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2 years ago