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dalvyx [7]
3 years ago
6

Write the slope-intercept form of each line

Mathematics
1 answer:
Citrus2011 [14]3 years ago
3 0
24)y=x-4
21) y=-3x+1
23) y=4/5x+6
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Subtract. 5x^2-5x+1-(2x^2+9x-6)
Talja [164]
<h2>Hello!</h2>

The answer is:

3x^{2} -14x+7

<h2>Why?</h2>

To solve the problem we need to add/subtract like terms. We need to remember that like terms are the terms that share the same variable and the same exponent.

For example, we have:

x^{2} +2x+3x=x^{2} +(2x+3x)=x^{2}+5x

We have that we were able to add just the terms that were sharing the same variable and exponenr (x for this case).

So, we are given the expression:

5x^2-5x+1-(2x^2+9x-6)=5x^{2}-2x^{2}-5x-9x+1-(-6)\\\\(5x^{2}-2x^{2})+(-5x-9x)+(1-(-6))=3x^{2}-14x+7

Hence, the answer is:

3x^{2} -14x+7

Have a nice day!

4 0
3 years ago
PLEASE HELP ME IM STRUGGLING!!!
Kitty [74]

Answer:

The required answer is c=7\sqrt{3}

Therefore the number in green box should be 7.

Step-by-step explanation:

Given:

AB = 7√2

AD = a , BD = b , DC = c , AC = d

∠B = 45°, ∠C = 30°

To Find:

c = ?

Solution:

In Right Angle Triangle ABD Sine identity we have

\sin B = \dfrac{\textrm{side opposite to angle B}}{Hypotenuse}\\

Substituting the values we get

\sin 45 = \dfrac{AD}{AB}= \dfrac{a}{7\sqrt{2}}

\dfrac{1}{\sqrt{2}}= \dfrac{a}{7\sqrt{2}}\\\\\therefore a=7

Now in Triangle ADC Tangent identity we have

\tan C = \dfrac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}

Substituting the values we get

\tan 30 = \dfrac{AD}{DC}= \dfrac{a}{c}\\\\\dfrac{1}{\sqrt{3}}=\dfrac{7}{c}\\\\\therefore c=7\sqrt{3}

The required answer is c=7\sqrt{3}

8 0
3 years ago
What is a recriprocal of 25
Arturiano [62]

Answer:

1/25

The fraction for 25 would be 25/1 so the recripocal of 25/1 would be 1/25. The reciprocal is the numerator and denominator switched.

8 0
3 years ago
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What does this equal to<br> (b^3)2
soldi70 [24.7K]

Answer:

2b^3

Step-by-step explanation:

7 0
3 years ago
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(-5) ÷ (-7) = _____<br><br><br> - <br> 35<br> -35
MrRissso [65]

Answer:

0.714

Step-by-step explanation:

Wgat more explanation could I give you. lol

5 0
3 years ago
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