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Free_Kalibri [48]
3 years ago
13

Write the equation of a line with a slope of 3 that passes through (-3,2).

Mathematics
1 answer:
ratelena [41]3 years ago
6 0

Answer:

y = 3x + 11

Step-by-step explanation:

Substitute the information into the point-slope form equation.

Point-slope form: y - y₁ = m(x - x₁)

y - 2 = 3(x - (-3))

y - 2 = 3(x + 3)

y - 2 = 3x + 9

y = 3x + 11

You might be interested in
What are two solutions of 3 + 4 |x/2 + 3| = 11?
Alex
3 + 4abs(x/2 + 3) = 11 Subtract 3
4 abs(x/2 + 3) = 11 - 3
4 abs(x/2 + 3) = 8 Divide by 4
abs(x/2 + 3) = 8/4
abs(x/2 + 3) = 2

Solution 1
x/2 + 3 = 2 Subtract 3
x/2 = 2 - 3
x/2 = - 1 Multiply by 2
x/2 *2 = - 2
x = - 2

Solution 2
x/2 + 3 = - 2
x/2 = - 2 - 3
x/2 = - 5 Multiply by 2
x = -5 * 2
x = -10

Solutions
x = - 2 <<<< answer 1
x = -10 <<<< answer 2

3 0
3 years ago
Joseph drives 125 miles in 2.5 hours. At the same rate, how far will he be able to travel in 6 hours
Nastasia [14]

Answer:

300

Step-by-step explanation:

125/2.5=50

50 x 6=300

Joseph will be able to drive 300 miles in 6 hours

hope this helps!

7 0
3 years ago
If you had carried out the algebra using variables before plugging numbers into your expressions, you would have found that (vf)
SashulF [63]

Answer:

Step-by-step explanation:

Volt is energy per electric charge

1V=1J/C

and the energy units in terms of meters, seconds and kilograms are:

1J= 1kg\frac{m^{2}}{s^{2}}

So the unit of volt is

1V= kg \frac{m^{2}}{Cs^{2}}

So the velocity expression (it can not be read completly) but i guess that it could be as follows

vf_{a} = -2\sqrt{\frac{q_{a}\Delta V}{m_{a}}}

So the unit analysis would be

vf_{a} = \sqrt{\frac{C kg\frac{m^{2}}{Cs^{2}}}{kg}}}

note that the coulomb unit of numerator is cancelled from the denominator. The same occurs for kg unit.

vf_{a} = \sqrt{\frac{m^{2}}{s^{2}}}

Applying square root

vf_{a} = \frac{m}{s}

7 0
3 years ago
He lesson. If the first step in the solution of the equation -x + 6 = 5 - 3x is "subtract 5," then what should the next step be?
Xelga [282]

Answer:

  add x

Step-by-step explanation:

The operation "subtract 5" has eliminated the constant from the right side of the equation, so the next step would be to eliminate the variable from the left side. You do that by adding the opposite of the variable term.

The opposite of the term -x is x, so we "add x" as the next step.

This makes the solution look like ...

  -x +6 = 5 -3x

  -x +1 = -3x . . . . . . subtract 5

  1 = -2x . . . . . . . . . add x

  -1/2 = x . . . . . . . . .divide by -2

_____

<em>Comment on this solution</em>

My preference is always to add the opposite of the variable term with the smallest coefficient. Here, that term is -3x, so I would add 3x as a first step. This leaves the only x-term with a <em>positive</em> coefficient, so can reduce errors in the solution.

8 0
3 years ago
In triangle ABC, the angles, angle A, angle B, angle C form an arithmetic sequence. If angle A = 23 degrees, then what is angle
Ilya [14]

Angle C is 106 degrees.

7 0
3 years ago
Read 2 more answers
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