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3 years ago

What is the midpoint of the segment shown below?

Mathematics

2 answers:

Vaselesa [24]3 years ago

5 0

B. (2, -3). The X value remains the same. -7 + 4 = -3. The Y value in the center of the existing two points is -3

ruslelena [56]3 years ago

5 0

Answer:

option A

$(2,-\frac{3}{2})$

Step-by-step explanation:

we know that

The formula to calculate the midpoint M between two points is equal to

$M (\frac{x1+x2}{2},\frac{y1+y2}{2})$

In this problem we have

$(x1,y1)=(2,-7)$

$(x2,y2)=(2,4)$

substitute the values

$M (\frac{2+2}{2},\frac{-7+4}{2})$

$M (\frac{4}{2},\frac{-3}{2})$

$M (2,-\frac{3}{2})$

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48 students are girls they make up 60% of the class how many students total

qwelly [4]

For this you would do
$48 \div .60$
Because 60% is the same as 0.60. And solving a problem like this is the opposite of finding a percent of a number. When you solve this you get 80. So there are 80 students in total.

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3 years ago

Simplify:- ~~~~~~~

Alchen [17]

$\sf \dashrightarrow \: - \frac{2}{5} - ( - \frac{3}{10} ) - ( - \frac{4}{7} )$

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to +

$\sf \dashrightarrow \: - \frac{2}{5} + \frac{3}{10} + \frac{4}{7}$

Calculate the LCM of denominators

$\sf\frac{ - 28 + 21 + 40}{70}$

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2 years ago

Read 2 more answers

PLEASE HELP The toll to cross a bridge is $1.25. If $72.50

blagie [28]

Answer:

Step-by-step explanation:

all you have to do is divide 1.25 from 72.50

6 0

3 years ago

X = y - 3

Leviafan [203]

The answer is A. (1, 4), because when the values are substituted in to the equations, you get 1 = 4 - 3 and 1 + 12 = 13, which are both correct. I hope this helps!

3 0

3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago