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Contact [7]
3 years ago
7

A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?

Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

Step-by-step explanation:

i think that the equations might be y = x - 7

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When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F
aleksandr82 [10.1K]

Let x be the unknown number. So, three times that number means 3x, and the square of the number is x^2

We have to sum 528 and three times the number, so we have 528+3x

Then, we have to subtract this number from x^2, so we have

x^2-(3x+528)

The result is 120, so the equation is

x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0

This is a quadratic equation, i.e. an equation like ax^2+bx+c=0. These equation can be solved - assuming they have a solution - with the following formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

If you plug the values from your equation, you have

x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}

So, the two solutions would be

x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27

x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24

But we know that x is positive, so we only accept the solution x = 27

6 0
3 years ago
Find the value of x for the right triangle. Round your answer to the nearest hundredth
Anna007 [38]

Answer:38.56

Step-by-step explanation:

tan35=opposite ➗ adjacent

0.7002=27 ➗ x

Cross multiplying we get

0.7002(x)=27

Divide both sides by 0.7002

0.7002x ➗ 0.7002=27 ➗ 0.7002

x=38.56041131

x=38.56 nearest hundredth

7 0
3 years ago
Help ASAP!! QR is the median of trapezoid MNOP. If MN = 41 and OP = 53, calculate QR.
stealth61 [152]

Answer:

QR = 86

Step-by-step explanation:

<em>Trust.</em>

5 0
3 years ago
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PLSSS HELP IF YOU TURLY KNOW THISS
Galina-37 [17]

Answer:

.7

Step-by-step explanation:

6 0
2 years ago
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What is the solution for -5(2x+1)=25
Irina18 [472]

Answer:

-3

Step-by-step explanation:

-5(2x+1)=25

-10x-5=25

-10x=25+5

-10x=30

x=-3

8 0
2 years ago
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