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3 years ago

What is the midpoint of a segment with endpoints at (−4, −8) and (8, 10)? A.(−6, −9) B.(−6, 1) C.(2, −9) D.(2, 1)

1 answer:

3 0

$\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ A(-4,\ -8)\ \text{and}\ B(8,\ 10).\ \text{Substitute:}\\\\x=\dfrac{-4+8}{2}=\dfrac{4}{2}=2\\\\y=\dfrac{-8+10}{2}=\dfrac{2}{2}=1\\\\Answer:\ \boxed{D.\ (2,\ 1)}$

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Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50

kaheart [24]

Answer: The inequality required to express the above condition is x ≥ 18.75

Step-by-step explanation:Renata and her family go through an average of more than 15 cans of sparkling water each day.

The number of cases of 24 cans of sparkling water.

We can take the number of cases to be x.

Each case is said to cost $3.50.

An inequality for the number of cases that Renata's family go through in 24 days can be written as

x ≥ ⇒ x ≥ ⇒ x ≥ 18.75

Therefore the inequality required to express the above condition is

x ≥ 18.75

8 0

2 years ago

Which graph shows the solution to the following inequality? 4d- 6 < 18 PLEASE HELP

kenny6666 [7]

Answer:

answer a

Step-by-step explanation:

$4d-6$ < $18$

Let's isolate $d$ on one side of the equation. Ignore the inequality for now. We'll deal with that later.

$4d-6=18\\4d-6+6=18+6\\4d=24\\\frac{4d}{4}=\frac{24}{4}\\ d=6$

Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating $d$ , but if this confuses you, just do your math and keep the inequality there.

$d$ < $6$

On a number line, this would include every number less than $6$ , due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number greater than $6$ . But, how do we decide between answers a and c?
If a line has point at its beginning, $6$ , then that means that every number less than or equal to [ ≤ ] 6 is being shown, but our equation just says less than [ < ] 6, so answer a is our correct answer.

4 0

3 years ago

Read 2 more answers

Declan draws triangle WXY. He then constructs a perpendicular bisector from vertex W that intersects side XY at point Z. What ca

Ganezh [65]

Answer:

YZ = XZ

Step-by-step explanation:

Perpendicular Bisector:

A perpendicular bisector of a line segment 'l' is a line that is perpendicular to the line segment 'l' and cuts the line segment 'l' into two equal parts.

Given:

1. A triangle WXY.

2. A perpendicular bisector from vertex W that intersects XY at point Z.

Conclusion based on the drawing:

a. Z is the midpoint of the line segment XY because point Z lies on the perpendicular bisector of XY.

b. Hence, XZ = YZ.

5 0

3 years ago

Read 2 more answers

Christian reads 1/4 book every 2/3 week. How many books does Christian read per week?

-BARSIC- [3]

Answer:

its the second one 3/8

Step-by-step explanation:

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3 years ago

What is one benefit of privately issued student loans?

Leona [35]

Answer:

they have lower interest rates and can be paid back with a lower out of pocket cost

Step-by-step explanation:

Student loans are issued as a kind of financial aid that assist students in their quest to acquire higher education. Private student loans are offered by the private-sector lenders. The alternative to this is a Federal loan.

Actually, private student loans are issued at a lower interest rate. Option of a fixed or variable interest rate may be offered on privately issued student loans. This offers a lower out of pocket cost, hence the answer.

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2 years ago