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Bingel [31]
2 years ago
14

What is the slope of a line that passes through the point (-3,0) and has a y-intercept of 12

Mathematics
1 answer:
Trava [24]2 years ago
7 0

The slope of a line that passes through the point (-3,0) and has a y-intercept of 12 is 4.

<h3>How to find the slope of a line?</h3>

Using the point slope equation,

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore, using (-3, 0)

0 = -3m + 12

-12 = -3m

divide both sides by -3

m = -12 / -3

m = 4

learn more on slope here: brainly.com/question/17130155

#SPJ1

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Prove that x-y = √(x+y)^2-4xy?
Svetlanka [38]

Proved Below

\Longrightarrow x-y = \sqrt{(x+y)^2-4xy}

\Longrightarrow x-y = \sqrt{x^2+2(x)(y)+ y^2-4xy}

\Longrightarrow   x-y = \sqrt{x^2+2xy-4xy+y^2}

\Longrightarrow x-y = \sqrt{x^2-2xy+y^2}

\Longrightarrow x-y = \sqrt{(x-y)^2}

\Longrightarrow x-y =x-y

6 0
2 years ago
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What is 5/10 in decimal
Tcecarenko [31]
Well you can either think of actually dividing the fraction or reduce to lowest forms which is 1/2. then from 1/2 you can either divide that or just say it is .5.
4 0
3 years ago
Liner equations please help with answer!
svetlana [45]

Answer:

n = - \frac{4}{7}

Step-by-step explanation:

Given

\frac{2}{3} (1 + n) = - \frac{1}{2} n

Multiply both sides by 6 ( the LCM of 3 and 2 ) to clear the fractions

4(1 + n) = - 3n ← distribute left side

4 + 4n = - 3n ( add 3n to both sides )

4 + 7n = 0 ( subtract 4 from both sides )

7n = - 4 ( divide both sides by 7 )

n = - \frac{4}{7}

6 0
3 years ago
Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.
TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

So

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

(x-2)\\ (x-3)\\ (x-5)

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

x=2\\ x=3\\ x=5

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

so

(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0

therefore

the answer Part b) is

the cubic polynomial function is equal to

x^{3}-10x^{2} +31x-30=0

7 0
3 years ago
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Solve for x: 6x – 8y = 12
Tcecarenko [31]

Hi there!


Since we have 2 variables in the given equation, and you only want to solve for one, the other will end up in your answer.


6x + 8y = 12


Step 1) Add 8y to both sides.


6x - 8y + 8y = 12 + 8y 6x = 8y + 12


Step 2) Divide both sides by 6.


\frac{6x}{6} =  \frac{8y + 12}{6}


x =  \frac{4}{3} y + 2


Final Answer -


x =  \frac{4}{3} y + 2


Hope this helps! :D


7 0
3 years ago
Read 2 more answers
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