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Sav [38]
3 years ago
10

Solve the following equations for x (5 points each). (a)-3x+10=34

Mathematics
1 answer:
yan [13]3 years ago
6 0

Answer:

x = -8

Step-by-step explanation:

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Analyze the diagram below and complete the instructions that follow.
Umnica [9.8K]

Answer:

x= 7, y=4\sqrt{2}

<em>Correct option B.</em>

Step-by-step explanation:

The diagram shows a trapezoid with a base angle of 45° and the other base angle of 90°.

We have completed the diagram to draw a perpendicular line over the base of height h=4. A triangle is formed with an angle of 45°.

Recall a right triangle with angles of 45° is isosceles, thus the base and the height are h=4. Please check the diagram below.

For that triangle, we apply Pythagora's Theorem:

y^2=4^2+4^2=2*4^2

Thus:

y=\sqrt{2*4^4}=4\sqrt{2}

y=4\sqrt{2}

The base of the trapezoid x is h + 3 = 7

Thus:

\mathbf{x= 7, y=4\sqrt{2}}

Correct option B.

7 0
2 years ago
Judy lives in central city, where the tax rate is 3.9%. her property is assessed at $82,000. what is her tax?
coldgirl [10]
Her tax is $3198.
3.9/100=0.039.
0.039*8200=$3198.
8 0
3 years ago
F(x) = -5x-11<br> y = -5x – 11
eimsori [14]

Answer:does it need a graph

Step-by-step explanation:

do you need to have a graph or is it multiple choice answer?

details?

4 0
2 years ago
what is the equation of a line that is perpendicular to y= 1/2x - 6 and passes through the point (6,4)?
Aliun [14]

Perpendicular to a slope of 1/2 is the negative reciprocal slope -1/(1/2) = -2.

y = - 2 x + b

y + 2 x = b

b = 4 + 2(6) = 16

y = -2x + 16

Check:

-2(6)+16=4 good

Answer: y = -2x + 16


6 0
3 years ago
Read 2 more answers
Y''-4y=cosx find general solution.
Anastasy [175]

Answer:

Step-by-step explanation:

y''-4y=cosx

The auxialary equation and solutions are as follows:

m^2-4=0\\m=2,-2

General solution is

y=Ae^{2x} +Be^{-2x}

Right side =cosx

Particular Integral

= \frac{cosx}{-1-4} =\frac{-cosx}{5}

Hence full solution is

8 0
3 years ago
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