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2 years ago

What is the equation of a line passing through (-3,7) and having a slip of -1/5

Mathematics

1 answer:

MrRa [10]2 years ago

3 0

Answer:

$\large\boxed{D.\ y=-\dfrac{1}{5}x+\dfrac{32}{5}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = -1/5. Substitute:

$y=-\dfrac{1}{5}x+b$

Put the coordinates of the given point (-3, 7) to the equation:

$7=-\dfrac{1}{5}(-3)+b$

$7=\dfrac{3}{5}+b$ <em>subtract 3/5 from both sides</em>

$6\dfrac{2}{5}=b\to b=\dfrac{6\cdot5+2}{5}=\dfrac{32}{5}$

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2 years ago

if alpha and beta are zeroes of the quadratic polynomial f(x) = x2-x-2 then find a polynomial whose zeroes are 2alpha + 1 and 2b

frosja888 [35]

Answer:

Step-by-step explanation:

Hello, as alpha and beta are zeroes of

$x^2-x-2$

it means that their sum is alpha+beta=1 and their product alpha*beta=-2.

The polynomial whose zeroes are 2 alpha + 1 and 2 beta + 1, means that the sum of its zeroes is 2(alpha+beta)+2=2+2=4

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3 years ago

What is 2 plus 2 minus 17

nataly862011 [7]

<em>The result is -13</em>

<h2>Explanation:</h2><h2 />

Here we have the following addition problem:

$2+2-17$

So let's solve this step by step:

Step 1. Perform two plus two.

$2+2=4$

So:

$2+2-17=4-17$

Step 2. Perform the subtraction.

Since the sign (-) accompanies 17 which is greater than 4, then we perform the subtraction and add the sign (-) to the result. So:

$2+2-17=4-17=-13$

<em>Finally, the result is -13</em>

<h2>Learn more:</h2>

Distributive property: brainly.com/question/10794694

#LearnWithBrainly

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3 years ago

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Step-by-step explanation:

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Hope this helps!

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2 years ago

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3 years ago

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