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3 years ago

Which steps are needed to solve this equation? b+6= 21

Mathematics

2 answers:

gregori [183]3 years ago

4 0

Subtract 6 from both sides then you get your answer; b=15

ratelena [41]3 years ago

3 0

Answer:

Step-by-step explanation:

Step 1:

b + 6 = 21 Equation

Step 2:

b = 21 - 6 Subtract 6 on both sides

Step 3:

b = 15 Subtract

Step 4:

15 + 6 = 21 Check Answer

Answer:

b = 15

Hope This Helps :)

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Answer:

Step-by-step explanation:

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3 years ago

Find the midpoint of PQ¯¯¯¯¯¯¯¯ with endpoints P(−7, 0) and Q(1, 8). Then write an equation of the line that passes through the

Lilit [14]

Answer with Step-by-step explanation:

We are given that

P(-7,0) and Q(1,8)

We have to find the midpoint of PQ and write an equation of the line that passes through the midpoint.

Mid-point formula: $x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}$

By using this formula ,

The mid point of PQ

$x=\frac{-7+1}{2}=-3, y=\frac{0+8}{2}=4$

Hence, the midpoint of PQ is (-3,4).

Slope of PQ= $m=\frac{y_2-y_1}{x_2-x_1}=\frac{8-0}{1+7}=1$

Slope of perpendicular line= $\frac{-1}{slope\;of PQ}=-1$

The equation of line which is passing through the point (-3,4) with slope -1 is given by

$y-y_1=m(x-x_1)$

The equation of line which is passing through the point (-3,4) with slope -1 is given by

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4 years ago

JL has coordinates J(-6, 1) and L(-4,3).<br> Find the coordinates of the midpoint.

ikadub [295]

Answer:

The coordinates of the mid-point of JL are (-5 , 2)

Step-by-step explanation:

If point (x , y) is the mid-point of a segment whose end-points are $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then $x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

∵ JL is a segment

∵ The coordinates of J are (-6 , 1)

∴ $x_{1}$ = -6 and $y_{1}$ = 1

∵ The coordinates of L are (-4 , 3)

∴ $x_{2}$ = -4 and $y_{2}$ = 3

Lets use the rule above to find the mid-point of JL

∵ $x=\frac{-6+-4}{2}=\frac{-10}{2}$

∴ x = -5

∴ The x-coordinate of the mid-point is -5

∵ $y=\frac{1+3}{2}=\frac{4}{2}$

∴ y = 2

∴ The y-coordinate of the mid-point is 2

∴ The coordinates of the mid-point of JL are (-5 , 2)

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Which steps are needed to solve this equation? b+6= 21​

Which steps are needed to solve this equation? b+6= 21