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On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite

Liono4ka [1.6K]

Answer:

b = -a

Step-by-step explanation:

Since a and b are equally distant to zero but in opposite directions, a and b are opposites, or additive inverses.

The sum of additive inverses is zero.

a + b = 0

b = -a

8 0

1 year ago

What is the slope of the line that is perpendicular to the line that passes through (-2, 7) and (4, 9)? Type a numerical answer

kodGreya [7K]

Answer:

Therefore $m_{2}$ = -3.

Step-by-step explanation:

i) let us say the slope of the line passing through (-2,7) and (4,9) is $m_{1}$ .

ii) to find the slope of the line passing through two points ( $x_{1}$ , $y_{1}$ ) and ( $x_{2}$ , $y_{2}$ ) we use the formula m = $\dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$ . Therefore we can say that $m_{1}$ = $\dfrac{9 - 7}{4 - (-2)}$ = $\dfrac{1}{3}$ .

iii) let us say the slope of the perpendicular line to the line passing through (-2,7) and (4,9) is $m_{2}$

iv) from the formula for the slopes of a line and the line perpendicular to it which is given by $m_{1}$ × $m_{2}$ = -1, therefore $m_{2}$ = -1 ÷ $m_{1}$ = -3. Therefore $m_{2}$ = -3

6 0

3 years ago

Evaluate log 473 round to the nearest hundredth

lesya [120]

Answer:

473 rounded to the nearest hundredth, would be 400.

3 0

2 years ago

Write a compound inequality: a quantity of x is greater than 10 and less than 20

Rudiy27

The compound inequality is: x<20 and x>10

Given, a quantity of x is greater than 10 and less than 20.

A compound inequality (also known as a compounded inequality) is created when two or more inequalities are coupled with and. One part of an inequality must be true for a value to be a solution to an or inequality. It must make both parts true in order to be the solution to an inequality. X<3 or X>2, for instance.

Divide a compound inequality into two independent ones before attempting to solve it. Choose either a union of sets ("or") and an intersection of sets as the appropriate response ("and"). Then, resolve the graph and all inequalities.

Simply put, a compound inequality is more than one inequality that we want to address simultaneously. When referring to the resolution of both inequalities, we can either use the term "and" or "or."

Learn more about Compound Inequality here:

brainly.com/question/234674

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5 0

1 year ago

Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was \$43.25$43.25dollar sign, 43,

rodikova [14]

Answer:

Raymond was for 29 minutes on the trampoline.

Step-by-step explanation:

We are given the following in the question:

Total cost of session = $43.25

Entrance fee = $7

Cost per minute = $1.25

Let t be the minutes that Raymond was on the trampoline.

Thus, we can write

Total cost =

Entrance fee + cost per mute(minutes that Raymond was on trampoline)

$C(t) = 7 + 1.25t$

Putting the values, we get,

$43.25 = 7 + 1.25(t)\\1.25t = 43.25 - 7\\1.25t = 36.25\\\\t = \dfrac{36.25}{1.25}\\\\t = 29$

Thus, Raymond was for 29 minutes on the trampoline.

5 0

2 years ago