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4 years ago

What is the midpoint of the segment shown below?

Mathematics

1 answer:

RSB [31]4 years ago

7 0

Answer:

Step-by-step explanation:

The mid point of the line segment is defined as the point on that line that divides the line segment in to two congruent segments and is denoted as:

Mid point= $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

Now, the line segment having the points (-2,4) and (6,-4) has the mid point:

Mid point= $(\frac{-2+6}{2},\frac{4-4}{2})$

= $(2,0)$

Hence, the mid point of the given line segment is: (2,0)

Therefore, Option C is correct.

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To mix a particular shade of purple paint, read paint and blue paint are mixed in the ratio 5:3. To make 80 gallons of this shad

zubka84 [21]

Answer:

50 gallons of red

30 gallons of blue

Step-by-step explanation:

5 parts of the whole must be red, 3 parts of the whole must be blue, and there are 5+3=8 parts in total.

therefore, 1 part = 80/8 = 10 gallons

red : 5 parts

5×10 = 50 gallons

blue : 3 parts

3×10 = 30 gallons

4 0

3 years ago

Please solve the math question: |4x−4(x+1)|=4

alexgriva [62]

Answer:

x has infinite solutions

Step-by-step explanation:

|4x−4(x+1)|=4

Simplify inside the absolute value by distributing the 4

|4x−4x+4|=4

Combine like terms

|4|=4

The absolute value of 4 is 4

4=4

This is always true, so x is all real values

x has infinite solutions

3 0

4 years ago

Read 2 more answers

Can anyone help me out on this not too sure on this

Paraphin [41]

Answer:

y = 0.1x - 4

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-3, 7)

Points on the y-axis (y1, y2) = (-7, -6)

First of all, we would find the slope;

Mathematically, slope is given by the formula;

$Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}$

$Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}$

Substituting into the equation, we have;

Slope = (-6 - (-7))/(7 - (-3))

Slope = (-6 + 7)/(7 + 3)

Slope = 1/10

Slope = 0.1

Next, we would write the equation using the formula;

y - y1 = m(x - x1)

y - (-7) = 0.1(x - (-3))

y + 7 = 0.1(x + 3)

y + 7 = 0.1x + 3

y = 0.1x + 3 - 7

y = 0.1x - 4

5 0

3 years ago

An electrician has a piece of wire that is 18 feet long. He cuts off 14% of the wire. Then he cuts the remaining pieces of wire

Ronch [10]

Answer:

the 3 pieces are 5.16ft each and the 14% that he cut off is 2.52 ft

Step-by-step explanation:

the 14 % that he cut off is 2.52ft

he has 15.48ft left

15.48/3=5.16

6 0

3 years ago

URGENT PLEASE I NEED HELP AND KINDLY SHOW THE SOLUTION/S AS WELL :))

andriy [413]

Answer:

1. Steve's age is 18 and Anne's age is 8.

2. Max's age is 17 and Bert's age is 11.

3. Sury's age is 19 and Billy's age is 9.

4. The man's age is 30 and his son's age is 10.

Step-by-step explanation:

1. Let us assume that:

S = Steve's age now

A = Anne's age now

Therefore, in four years, we have:

S + 4 = (A + 4)2 - 2

S + 4 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we have:

S - 3 = (A - 3)3

S - 3 = 3A - 9 ................................ (2)

From equation (2), we have:

S = 3A - 9 + 3

S = 3A – 6 …………. (3)

Substitute S from equation (3) into equation (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into equation (3), we have:

S = (3 * 8) – 6

S = 24 – 6

S = 18

Therefore, Steve's age is 18 while Anne's age is 8.

2. Let us assume that:

M = Max's age now

B = Bert's age now

Therefore, five years ago, we have:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (4)

A year from now, we have:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30 .......................... (5)

From equation (5), we have:

M = 30 – 2 – B

M = 28 – B …………………… (6)

Substitute M from equation (6) into equation (4) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

Substituting B = 11 into equation (6), we have:

M = 28 – 11

M = 17

Therefore, Max's age is 17 while Bert's age is 11.

3. Let us assume that:

S = Sury's age now

B = Billy's age now

Therefore, now, we have:

S = B + 10 ................................ (7)

Next year, we have:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (8)

Substituting S from equation (7) into equation (8) and solve for B, we have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (7), we have:

S = 9 + 10

S = 19

Therefore, Sury's age is 19 while Billy's age is 9.

4. Let us assume that:

M = The man's age now

S = His son's age now

Therefore, now, we have:

M = 3S ................................... (9)

Five years ago, we have:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (10)

Substituting M from equation (9) into equation (10) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (9), we have:

M = 3 * 10

M = 30

Therefore, the man's age is 30 and his son's age is 10.

5 0

3 years ago