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3 years ago

14

Which number line shows the solution set for in-3155?

1 answer:

IRISSAK [1]3 years ago

6 0

Answer:Find an answer to your question Which number line shows the solution set for in-3155? -8 -6 -4 -2 0 2 4 6 8 -8 -6 -4 -2 0 2 4 6 8 8 6 o -8

Step-by-step explanation:

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T is the midpoint of SU. Find ST, TU and SU. <br><br><br> 10x-14 5x+16<br><br>S———T———U

jeka94

since T is the midpoint of SU, then ST = TU.

$\bf \stackrel{10x-14}{\boxed{S}\rule[0.35em]{10em}{0.25pt}} T\stackrel{5x+16}{\rule[0.35em]{10em}{0.25pt}\boxed{U}} \\\\\\ \stackrel{ST}{10x-14}=\stackrel{TU}{5x+16}\implies 5x-14=16\implies 5x=30\implies x=\cfrac{30}{5}\implies x=6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ST}{10(6)-14\implies 46}~\hfill \stackrel{TU}{TU=ST=46}~\hfill \stackrel{SU}{ST+TU=92}$

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3 years ago

Which is the simplified form of the expression ((2⁻³)(x⁻³)(y²)/(4⁻²)(x⁴)(y⁶))²?

Vesna [10]

Answer :

${4x}^{2} {y}^{16}$
Answer choice B.

8 0

3 years ago

Write the domain & range of the function using interval notation.

fgiga [73]

Option A will be the correct answer

5 0

3 years ago

11 POINTS PLZ HELP EMERGENCY

Bad White [126]

Part A

The given expression is:

$(-5(1+2i)+3i(3-4i)$

We expand to get:

$-5-10i+9i-12i^2$

Note that $i^2=-1$

$12-5-10i+9i$

$-5-10i+9i+12$

$7-i$

Part Bi)

The given expression is;

$\sqrt{-50}$

We simplify to get:

$\sqrt{25\times 2\times -1}$

$\sqrt{25\times} \sqr{2}\times \sqrt{-1}$

Note that:

$\sqrt{-1}=i$

$5\sqr{2}i$

This is now of the form $a+bi$ , where $a=0,b=5\sqr{2}$ .

This explains why it is a complex number;

Part bii)

The given expression is :

$\frac{\sqrt{-50} }{\sqrt{5}}$

We simplify to get

$\sqrt{\frac{-50 }{5}}$

$\sqrt{-25}$

$\sqrt{-25}=\sqrt{25}\times \sqrt{-1}$

$\sqrt{-25}=5\times i$

$\sqrt{-25}=5i$

Part C

We want to simplify:

$i^{22}$

We rewrite in terms of $i^2$

$i^{22}=(i^2)^{11}$

$i^{22}=(-1)^{11}$

$i^{22}=-11$

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3 years ago

Last year, a lighting supplier called Bright Idea shipped a total of 37,220 lamps to its distributors. This year, the supplier s

fredd [130]

Answer:

25%

Step-by-step explanation:

Given data

Last years shipment= 37220 lamps

These years shipment= 29776 lamps

% Decrease= Initial-Final/Initial*100

% Decrease= 37220-29776/29776*100

% Decrease= 7444/29776*100

% Decrease= 0.25*100

% Decrease= 25%

Hence the decrease is 25%

7 0

2 years ago