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3 years ago

Simplify the following expression 21(×-4)+2

Mathematics

1 answer:

Elden [556K]3 years ago

8 0

21 (x-4)+2
=21x-84+2
=21x-82
I think that it's right

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Help me please, match the number to the letter

kenny6666 [7]

Answer: 1b 2c 3e? 4d 5a

<u>Step-by-step explanation:</u>

There are 2 items that need to be checked.

The midpoint of the coordinates is the center of the circle
The diameter of the coordinates is the diameter of the circle.

Midpoint:

$Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\1)\ \bigg(\dfrac{-4+2}{2},\dfrac{-1+10}{2}\bigg)=\bigg(\dfrac{-2}{2},\dfrac{9}{2}\bigg)=(-1, 4.5)\implies \text{equation b}\\\\\\2)\ \bigg(\dfrac{1+7}{2},\dfrac{3-10}{2}\bigg)=\bigg(\dfrac{8}{2},\dfrac{-7}{2}\bigg)=(4, -3.5)\implies \text{equation c}\\\\\\3)\ \bigg(\dfrac{4-8}{2},\dfrac{-2+6}{2}\bigg)=\bigg(\dfrac{-4}{2},\dfrac{4}{2}\bigg)=(-2,2 )\implies \text{none of the equations}$

$4)\ \bigg(\dfrac{6-4}{2},\dfrac{3-13}{2}\bigg)=\bigg(\dfrac{2}{2},\dfrac{-10}{2}\bigg)=(1, -5)\implies \text{equation d}\\\\\\5)\ \bigg(\dfrac{7-1}{2},\dfrac{5+8}{2}\bigg)=\bigg(\dfrac{6}{2},\dfrac{13}{2}\bigg)=(3, 6.5)\implies \text{equation a}$

Diameter:

distance between coordinates = 2√r² (from circle equation)

$\text{formula for coordinates is: }d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\1)\ \text{Coordinates: } d=\sqrt{(-4-2)^2+(-1-10)^2}=\sqrt{36+121}=12.5\\b)\ \text{Circle: }2\sqrt{39.25}=12.5\\\\\\2)\ \text{Coordinates: } d=\sqrt{(1-7)^2+(3+10)^2}=\sqrt{36+169}=14.3\\c)\ \text{Circle: }2\sqrt{51.25}=14.3\\\\\\4)\ \text{Coordinates: } d=\sqrt{(6+4)^2+(3+13)^2}=\sqrt{100+256}=18.9\\d)\ \text{Circle: }2\sqrt{89}=18.9$

$5)\ \text{Coordinates: } d=\sqrt{(7+1)^2+(5-8)^2}=\sqrt{64+9}=8.5\\a)\ \text{Circle: }2\sqrt{18.25}=8.5$

Check:

Graph to confirm your answers are correct (see attached)

8 0

4 years ago

Which experssion is equivalent to 4 to the power of 6 times 4 to the power of negative 8?

PilotLPTM [1.2K]

4 to the power of negative two beacause u add the exponents 6+ negative 8

8 0

4 years ago

Amy plans to spend 1/4 of his next month's income on

kifflom [539]

9514 1404 393

Answer:

$505

Step-by-step explanation:

Assuming the listed expenses comprise all of Amy's income (x), we have ...

(1/4)x +(1/12)x +(1/6)x + 590 +925 = x

1515 = 1/2x . . . . . . subtract 1/2x

We note that 1/6x is for food. That amount is 1/3 of 1/2x, so the amount spent on food is ...

(1/6)x = (1/3)(1/2x) = (1/3)(1515) = 505

Amy plans to spend $505 on food.

6 0

3 years ago

Read 2 more answers

9p -10 = 53 HELP! WILL GIVE BRAINLIST if check/explain

Ostrovityanka [42]

9p - 10 = 53

Add 10 to both sides

9p = 63

Divide both sides by 9

P = 7

Answer: p = 7

4 0

3 years ago

Read 2 more answers

Domain and Range Digital Escape Room!

alexgriva [62]

HIAB
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When there is only points and no lines, to find domain, you give the x values only, and to find the range you give the y values only.

When there is a line, for domain you go from left to right, and for range you go from bottom to top. The arrow indicates that the line is continuous, and so the second values for domain and range are infinity because we do not know the value.

3 0

3 years ago