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3 years ago

Please help me with this, I really need it, thanks. (Geometry)

Mathematics

1 answer:

horsena [70]3 years ago

8 0

Answer:

a. yes

b. Q

c. line MP

Step-by-step explanation:

a. "Collinear" means "on the same line". The diagram shows point K on the same line with M and P, so ...

yes, M, P, and K are collinear

b. N, W, and U are the corners of face NUWQ, so point Q is also in that plane.

c. The plane MPQ includes face MPQN. The plane TVP includes face TVPM.

Line MP (or PM) is the line where these planes intersect.

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Please Help!!

Genrish500 [490]

Given

$a\sqrt{x+b}+c=d$

we have

$\sqrt{x+b}=\dfrac{d-c}{a}$

Squaring both sides, we have

$x+b=\dfrac{(d-c)^2}{a^2}$

And finally

$x=\dfrac{(d-c)^2}{a^2}-b$

Note that, when we square both sides, we have to assume that

$\dfrac{d-c}{a}>0$

because we're assuming that this fraction equals a square root, which is positive.

So, if that fraction is positive you'll actually have roots: choose

$a=1,\ b=0,\ c=2,\ d=6$

and you'll have

$\sqrt{x}+2=6 \iff \sqrt{x}=4 \iff x=16$

Which is a valid solution. If, instead, the fraction is negative, you'll have extraneous roots: choose

$a=1,\ b=0,\ c=10,\ d=4$

and you'll have

$\sqrt{x}+10=4 \iff \sqrt{x}=-6$

Squaring both sides (and here's the mistake!!) you'd have

$x=36$

which is not a solution for the equation, if we plug it in we have

$\sqrt{x}+10=4 \implies \sqrt{36}+10=4 \implies 6+10=4$

Which is clearly false

7 0

3 years ago

Use the distributive property to expand -4 (-2/5 + 3 x). Which is an equivalent expression?

Brrunno [24]

Answer:

8/5-12x.

Step-by-step explanation:

To distribute, you simply need to multiply each of the terms inside of the parenthesis by -4. This will give you:

=-4( $\frac{-2}{5}$ )-4(3x)

=8/5-12x. This is your answer!

7 0

2 years ago

Please please help me on this

Goryan [66]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is 3x squared-12x=0

lubasha [3.4K]

x=0 or x=4

just factorize basically

cancels the x’s so it’d be 3x-12=0 and from that x=4

3 0

3 years ago

4. Suppose 11 out of 17 students said they were attending the football game. How many students out of 875 would you expect to at

SCORPION-xisa [38]

We have to basically multiply:

11/17 x 475

And simplifying that we get

307.35

And since there can't be .35 person

So out final answer is 307

pls pls brainlist

6 0

2 years ago