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RoseWind [281]
3 years ago
5

Find the equation of a line in the form Ax+ By=C given a slope of -⅘ and y-intercept of 7 USE-SLOPE-INTERCEPT FORM

Mathematics
2 answers:
Zanzabum3 years ago
5 0

Answer:

4x + 5y = 35.

Step-by-step explanation:

Slope intercept form is:

y = m + c

Here m = -4/5 and c = 7, so:

y = -4/5 x + 7

Multiply through by 5:

5y = -4x + 35

4x + 5y = 35  (answer).

Lerok [7]3 years ago
4 0
  • y intercept=b=7
  • Slope=m=-4/5

Equation of the line

\\ \sf\longmapsto y=mx+b

\\ \sf\longmapsto y=\dfrac{-4}{5}x+7

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hexagon is ur answer

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3 years ago
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What line is parallel to 2x+5y=6 that goes through (5,3)
Anna11 [10]

Answer:

4y = x - 17

Step-by-step explanation:

First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y = \frac{-2x}{5} + \frac{6}{5}  which make the gradient, m, the coefficient of x = \frac{-2}{5}  . Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)

Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where   y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)

y - 3 = \frac{1}{4}(x - 5); y - 3 = \frac{x}{4} - \frac{5}{4};  y = \frac{x}{4} - \frac{5}{4} +3

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7 0
2 years ago
A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1
V125BC [204]

Answer:

\frac{dh}{dt}=0.5ft

Step-by-step explanation:

From the question we are told that:

Length l=12

Top length l_t=3ft

Height h=1ft

Rate R=14 ft3/min

Water rise w=4

Generally the equation for Velocity is mathematically given by

V=frac{1}{2}wh'(l)\\\\V=frac{1}{2}wh'(12)

V=18h'^2

Therefore

R=18(2h)(\frac{dh}{dt})

Where

h=\frac{3}{4}

Therefore

\frac{dh}{dt}=\frac{R}{18(2h)}

\frac{dh}{dt}=\frac{14}{18(2.3/4)}

\frac{dh}{dt}=0.5ft

8 0
3 years ago
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Answer:

821.9

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because all you would have to do is 8,425 ÷ 10.25 and that equals 821.9 and that's the amount of hours you would need to work for you to get $8,425.

4 0
3 years ago
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The function T = 25 - sin ( – 4)) +5
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the third one ithink

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