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olga2289 [7]
3 years ago
6

Write the equation of a line parallel to the line y=5x+2 that goes through the point (-4, 3).

Mathematics
1 answer:
almond37 [142]3 years ago
5 0

Answer:

a line parallel to the line y = 5x + 2 ---> y' = 5x + b (b ≠ 2)

y' = 5x + b goes through (-4, 3) ---> 3 = 5 × ( -4 ) + b ---> b = 23

⇒ y' = 5x + 23

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What is the value of x?
yuradex [85]

Answer:

x = 12

Step-by-step explanation:

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3 years ago
Solve for x,y, and z.
Ann [662]

The given triangle is isosceles, so the two remaining angles in the triangle both have measure <em>xº</em>. The interior angles of any triangle sum to 180º, so that

58º + <em>xº</em> + <em>xº</em> = 180º

58 + 2<em>x</em> = 180

2<em>x</em> = 122

<em>x</em> = 61

Angles <em>y</em> and <em>z</em> are supplementary to angle <em>x</em>, so that

<em>xº</em> + <em>yº</em> = 180º

and

<em>xº</em> + <em>zº</em> = 180º

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<em>y</em> = 180 - 61

<em>y</em> = 119

and so

<em>z</em> = 119

6 0
3 years ago
-6&lt;2c-4&lt;14 compound inequality​
Vladimir [108]

Answer:

-1 < c < 9

Step-by-step explanation:

-6<2c-4<14

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-6+4<2c-4+4<14+4

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-2/2<2c/2<18/2

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Andreas93 [3]
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8 0
3 years ago
Read 2 more answers
Jenna can clean the gutters at her house in four hours. Her older brother, John, can clean the gutters in three hours, if they w
OlgaM077 [116]

Answer:

1 hour and 42.8 minutes

Step-by-step explanation:

To answer this question let's call t_1 while it takes Jenna to clean the gutters

Let's call t_2 while it takes John to clean the gutters

t_1 = 4 h

t_2 = 3 h

t = total time

g = job = 1 (clean the gutters)

The speed of each one is:

V_1 = \frac{1}{4} g/ h

V_2 = \frac{1}{3} g/h

V = V_1 + V_2 = \frac{g}{t} = \frac{1}{t}

So:

V = V_1 + V_2 = \frac{1}{4} +\frac{1}{3}

\frac{1}{t} = \frac{1}{4} + \frac{1}{3}= \frac{7}{12} g/h

t = \frac{12}{7} h

Then, both together paint \frac{7}{12} of gutters for each hour.

This means that it takes \frac{12}{7}  hours to clean the gutters together

Finally cleaning together takes 1,714 hours or also

1 hour and 42.8 minutes

7 0
3 years ago
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