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3 years ago

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Joey and Emily’s teacher gave them each a triangle divided into three parts a,b, and c which looked like the triangle shown belo

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1 answer:

polet [3.4K]3 years ago

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We need the photo to answer the question

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Justify each step in solving the equation -3(2x-3)=25-8x by writing a reason for each statement.

Mice21 [21]

Answer: x= 8.

Step-by-step explanation: Given equation -3(2x-3)=25-8x.

Step 1: We have -3 in front of (2x-3). We always simplify a parenthesis first.

Therefore, applying Distributive property in first step, we get

-6x +9 = 25-8x.

Step 2: We need to get rid 9 from left side to get constant numbers on right side.

9 is being added on left side.

So, we would apply reverse operation of addition.

Therefore, applying Subtraction property of equality, we get

-6x +9-9 = 25-8x-9

-6x =16 -8x.

Step 3: We need to get rid 8x from right side.

The reverse operation of subtraction is addition.

Therefore, applying Addition property of equality, we get

-6x+8x =16 -8x+8x

2x = 16.

Step 4: We need to isolate it for x.

So, applying Division property of equality, we get

$\frac{2x}{2}=\frac{16}{2}$

<h3>x= 8.</h3>

4 0

2 years ago

All of the rings of a ladder are parallel and the top rung is perpendicular to a side of the ladder. What conclusion can be reac

Ronch [10]

Perpendicular sides or lines meet at right angles. The conclusion that can be reached is that:

<em>1. all of the rings are perpendicular to that side.</em>

The statements in the question can be listed as:

<em>Rings in the ladder are parallel</em>
<em>Top ring is perpendicular to the side of the ladder</em>

<em />

From statements 1 and 2 above, we understand that;

<em>All other rings in the ladder are parallel to the side ring</em>

This means that the relationship between the top ring and the side of the ladder is the same as the relationship between other rings and the side of the ladder

i.e. the side rings are also perpendicular to the side of the ladder

Hence, the conclusion that can be reached is:

<em>1. all of the rings are perpendicular to that side.</em>

Read more about parallel and perpendicular sides at:

brainly.com/question/8607613

3 0

2 years ago

Find the surface area of the part of the sphere x2+y2+z2=81 that lies above the cone z=x2+y2−−−−−−√

TiliK225 [7]

Parameterize the part of the sphere by

$\mathbf s(u,v)=(9\cos u\sin v,9\sin u\sin v,9\cos v)$

with $0\le u\le2\pi$ and $0\le v\le\dfrac\pi4$ . Then

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|=81\sin v\,\mathrm du\,\mathrm dv$

So the area of $S$ (the part of the sphere above the cone) is given by

$\displaystyle\iint_S\mathrm dS=81\int_{v=0}^{v=\pi/4}\int_{u=0}^{u=2\pi}\sin v\,\mathrm du\,\mathrm dv=81(2\pi)\left(1-\dfrac1{\sqrt2}\right)=(162-81\sqrt2)\pi$

4 0

3 years ago

I need help right now

Neko [114]

In Which Subject I Can Help You In?!

3 0

2 years ago

Read 2 more answers

Need help please and thank you

vekshin1

We can drop the absolute value and the signs, and the integer part if they're all the same, and then make a common denominator and check for a decreasing sequence.

10/12, 7/12, 5/12 -- Check decreasing

3 1/3, 3 2/3, 2 2/3 -- nope, increases then decreases

6 5/7, 6 3/7, 5 2/7 - Check, decreasing

11 7/10, 11 6/10, 10 3/10 -- Check, decreasing

Answer: A,C,D

8 0

2 years ago