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Margarita [4]
3 years ago
12

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

Mathematics
1 answer:
MrRa [10]3 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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Which of the following graphs shows a parabola with a vertex of (1,-9) and solutions of (-2,0) and (4,0)?
Mariulka [41]

Answer:

Hello,

Step-by-step explanation:

Roots are -2 and 4

y=k*(x+2)(x-4)

Vertex = (1,-9) is a point of the parabola

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Equation of the parabola is y=(x+2)(x-4)

But you don' t have given the graphs !!!!

3 0
2 years ago
If you stacked Avogadro's number of pennies one on top of the other on Earth's surface, how far would the stack extend (in kilom
miskamm [114]

Answer:my

The height of the stack will be 9.15×10^20_m

Or 9.15×10^17_Km

Which is 6 billion times more more than the distance to the sun

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Step-by-step explanation:

Given

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And the thickness of a penny = 1.52_mm

The height of the stack will be

1.52 × 6.02 ×10^23 = 9.15×10^23_mm 9.15×10^20_m

7 0
3 years ago
A student can type on average 210 words in three minutes how long would it take for them to type 1001 word paper
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Solve the quadratic in form equation x^4-14x^2+45=0
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X⁴-14x²+45=0
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y²-14y+45=0
(y-9) (y-5) =0
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x²=9 or x²=5
x=±3 or x=±√5
7 1
3 years ago
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