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lapo4ka [179]
3 years ago
8

Simplify the following: 7x + 14 1) x' + 8x + 12

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0
The answer is =7x^2+22x+12
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Determine the value of $a$. [asy] pair w=(0,4); pair x=(0,0); pair y=(4,0); pair z=y+7/sqrt(2)*(1,1); dot(w); dot(x); dot(y); do
grandymaker [24]

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}

Since triangle WXY is Isosceles, \angle XYW=45^\circ

\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7

3 0
3 years ago
Two points A(0, -4), B(2, -1) determine line AB.<br> What is the equation of the line AB?
Slav-nsk [51]

Answer:

Answer: y=3/2x-4

4 0
3 years ago
At the Olympics, Michael
UkoKoshka [18]

Answer:

900 meters

Step-by-step explanation:

There are about 3 feet in a meter, so to find the answer you have to add up all the meters he swam and then multiply it by that.

So the equations will be: 100+200=300, 300x3=900.

Hope you get an A! <3

8 0
2 years ago
The equation k = 1.6d gives an approximate relationship between d miles and k
uranmaximum [27]

Substituting d= 430 we get,

k = 1.6(430)

k = 688

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.

6 0
3 years ago
Write 13 /2 as a mixed number. Give your answer in its simplest form.
Anuta_ua [19.1K]

Answer:

6·<u>¹₂</u>            6¹/₂

Step-by-step explanation:

by dividing 13 by 2, we get the quotient 6, remainder 1 and divisor as 2.

as we know, to write a mixed fraction, we follow Q^R/D, so we get 6¹/₂.

6 0
3 years ago
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