What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}?

1 answer:

3 0

Hi there! The answer is B.

$5r \leqslant 6r - 8$
Subtract 6r from both sides.

$- r \leqslant - 8$
Divide both sides of the inequality by -1. Remember that dividing by a negative makes the sign flip.

$r \geqslant 8$
Therefore, the solution must be bigger than or equal to 8. From the given solution set, the answer is B. {8, 9, 10}

~ Hope this helps you!

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On a coordinate grid, point T is at (2, −4) and point S is at (2, 6). The distance (in units) between points T and S is ______.

-BARSIC- [3]

The answer is 10
This is because both points have the same x value, which is 2, which means the distance between them is a straight line. That means that we can simply find the distance between the y values, and -4 to 0 is 4 units, and 0 to 6 is 6 units, so 4 + 6 = 10.

I hope this helps!

6 0

2 years ago

Read 2 more answers

A.Sum of integer and its additive inverse is ___________.B.Sum of -22 and -44 is ______________.C.-36 ÷ ( ___)=-9d._________ is

Ede4ka [16]

Answer:

A. 0

B. -66

C. 4

D. 998

E. -12

Step-by-step explanation:

A. By definition, the sum of anything and its additive inverse is zero.

B. If you have trouble with sums, your calculator can help.

-22 + (-44) = -22 -44 = -66

C. -36/x = -9 can be solved by multiplying by x and dividing by -9:

-36 = -9x

-36/-9 = x = 4

Since the product of the divisor and quotient is the dividend, dividing the dividend by either gives the other. Here, your dividend is -36 and your quotient is -9. To find the divisor, you can divide -36 by -9, as we did.

D. The absolute value function changes the sign of negative numbers to positive:

|-998| = 998

E. If you have trouble with sums, your calculator can help.

(−2)−[(−3)−(−7)−(−6)]

= -2 -(-3 +7 +6) = -2 -10 = -12

4 0

2 years ago

How do i calculate the distance?

Leni [432]

To find the distance between two points (x1,y1) and (x2,y2), all that you need to do is use the coordinates of these ordered pairs and apply the formula pictured below.