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2 years ago

8 - 3x = 17 Solve the equation

Mathematics

1 answer:

777dan777 [17]2 years ago

4 0

8-3x=17 substract 8
-8 -8
-3x=17-8
-3x=9 divide by -3
/-3 /-3
x=9/-3
x=-3 Solved for x

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Find the volume and area for the objects shown and answer Question

klio [65]

Step-by-step explanation:

You must write formulas regarding the volume and surface area of the given solids.

$\bold{\#1\ Rectangular\ prism:}\\\\V=lwh\\SA=2lw+2lh+2wh=2(lw+lh+wh)\\\\\bold{\#2\ Cylinder:}\\\\V=\pi r^2h\\SA=2\pi r^2+2\pi rh=2\pir(r+h)\\\\\bold{\#3\ Sphere:}\\\\V=\dfrac{4}{3}\pi r^3\\SA=4\pi r^2$

$\bold{\#4\ Cone:}\\\\V=\dfrac{1}{3}\pi r^2h\\\\\text{we need calculate the length of a slant length}\ l\\\text{use the Pythagorean theorem:}\\\\l^2=r^2+h^2\to l=\sqrt{r^2+h^2}\\\\SA=\pi r^2+\pi rl=\pi r^2+\pi r\sqrt{r^2+h^2}=\pi r(r+\sqrt{r^2+h^2})\\\\\bold{\#5\ Rectangular\ Pyramid:}\\\\V=\dfrac{1}{3}lwh\\\\$

$\\\text{we need to calculate the height of two different side walls}\ h_1\ \text{and}\ h_2\\\text{use the Pythagorean theorem:}\\\\h_1^2=\left(\dfrac{l}{2}\right)^2+h^2\to h_1=\sqrt{\left(\dfrac{l}{2}\right)^2+h^2}=\sqrt{\dfrac{l^2}{4}+h^2}=\sqrt{\dfrac{l^2}{4}+\dfrac{4h^2}{4}}\\\\h_1=\sqrt{\dfrac{l^2+4h^2}{4}}=\dfrac{\sqrt{l^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{l^2+4h^2}}{2}$

$\\\\h_2^2=\left(\dfrac{w}{2}\right)^2+h^2\to h_2=\sqrt{\left(\dfrac{w}{2}\right)^2+h^2}=\sqrt{\dfrac{w^2}{4}+h^2}=\sqrt{\dfrac{w^2}{4}+\dfrac{4h^2}{4}}\\\\h_2=\sqrt{\dfrac{w^2+4h^2}{4}}=\dfrac{\sqrt{w^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{w^2+4h^2}}{2}$

$SA=lw+2\cdot\dfrac{lh_1}{2}+2\cdot\dfrac{wh_2}{2}\\\\SA=lw+2\!\!\!\!\diagup\cdot\dfrac{l\cdot\frac{\sqrt{l^2+4h^2}}{2}}{2\!\!\!\!\diagup}+2\!\!\!\!\diagup\cdot\dfrac{w\cdot\frac{\sqrt{w^2+4h^2}}{2}}{2\!\!\!\!\diagup}\\\\SA=lw+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw}{2}+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw+l\sqrt{l^2+4h^2}+w\sqrt{w^2+4h^2}}{2}$

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2 years ago

PLEASE HELP!!! In HTML, write a short paragraph describing something from a book or movie (two or three sentences). Be sure to m

My name is Ann [436]

Answer:

In the movie The Lion King, Simba was born into the pride lands. He was born to be the future King. His father Mufasa showed him the ways of becoming a rightful King as well as how to not be selfish with his power.

Step-by-step explanation:

I hope this helps, it's not the best.

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2 years ago

Find the product of 9x(-3x²y-7xz)

kogti [31]

Answer:

$- 27 {x}^{3} y - 63 {x}^{2} z$

Step-by-step explanation:

$9x( - 3 {x}^{2} y - 7xz)$

$= 9x \times ( - 3 {x}^{2} y) + 9x \times ( - 7xz)$

$= - 27 {x}^{3} y - 63 {x}^{2} z$

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2 years ago

The scatterplot below shows the average yearly consumption of bottled water by people in the United States starting in 1990. Usi

lina2011 [118]

Where is the question chart/graph?

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3 years ago

Can someone help me with this question please :( !

Natalija [7]

Answer:

D. y = 2x + 1

Step-by-step explanation:

To find the slope, you first have to find the change of y over x, and in this case, you can plainly see that each one is equal to 2. So, that means that the slope is 2. You then can use the slope to find y when x is equal to 0. In this case, y = 1 when x = 0, so that means that the y-intercept is 1. Hence, the final answer is D.

<h2><u><em>Please mark as Brainliest!!!</em></u></h2>

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2 years ago