M is between L and N. LM= 7x -1 MN = 2x 4, and LN =12. Find the value of x an determine if M is a bisector

Answers

Answer 1

Answer:

The value of x for the given line segment LN is 1.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given,

Line segment LN

LN = 12

Line segment LN has two parts LM and MN

LM = 7x

MN = 2x +4

So,

LN = LM + MN

12 = 7x + 2x +4

9x +4 = 12

9x = 9

x = 1

Hence, The value of x for the given line segment LN is 1.

For more about line segment,

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Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4). Choose the statement that is true concerning these two values.A. The value of g(-2) is smaller than the value of g(4).

B. The value of g(-2) is the same as the value of g(4).

C. The values of g(-2) and g(4) cannot be compared.

D. The value of g(-2) is larger than the value of g(4).

Answers

Answer:

D. The value of g(-2) is larger than the value of g(4).

Step-by-step explanation:

Given : Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4).

To find : Choose the statement that is true concerning these two values.

Solution : We have given that

g(x) = -3x + 4

g (-2) = -3 ( -2) + 4.

g (-2) = 6 + 4

g (-2) = 10 .

Now,

g (4) = -3 ( 4) + 4.

g (4) = -12 +4 .

g (4) = -8.

g (-2) > g (4)

10 > -8 .

Therefore, D. The value of g(-2) is larger than the value of g(4).

g(x) = -3x + 4
g(-2) = -3 x (-2) + 4 = 6 + 4 = 10
g(4) = -3 x 4 + 4 = -12 + 4 = -8

Therefore, D is the correct answer.

(7n - 5)(5n - 8)
Multiply polynomials

Answers

Answer:

35n^2-81n+40

Step-by-step explanation:

Answer:

35n^2+81n+40

Step-by-step explanation:

(7n-5)(5n-8)

35n^2-56n-25n+40

35n^2+81n+40

Please help on Photo question. Mathematics. Second

Answers

the first solution
there's no number which > 3 & < 1
so it is
x>3
x<1

The graph below represents which system of inequalities?graph of two infinite lines that intersect at a point. One line is dashed and goes through the points 0, 2, negative 2, 0 and is shaded in below the line. The other line is dashed, and goes through the points 0, 6, 3, 0 and is shaded in below the line.

A y < −2x + 6
y < x + 2

B y ≤ −2x + 6
y ≤ x + 2

C y < 2 over 3x − 2
y > 2x + 2

D None of the above

Answers

The graph below represents y < 2 over 3x − 2 | y > 2x + 2 system of inequalities. The answer is letter C. The rest of the choices do not answer teh qustion above

You have been asked to build a scale model of your school out of toothpicks. Imagine your school is 30 feet tall. Your scale is 1 ft:1.26 cm.If a toothpick is 6.3 cm tall, how many toothpicks tall will your model be?

The model will be
toothpicks tall.

Your mother is out of toothpicks, and suggests you use cotton swabs instead. You measure them, and they are 7.5 cm tall. How many cotton swabs tall will your model be? If necessary, round your answer to the nearest whole number.

The model will be approximately
cotton swabs tall.

Answers

Answer:

6 toothpicks

5 cotton swabs

Step-by-step explanation:

The height of your scale model is 30 feet * 1.26 cm/foot = 37.8 cm

You need 37.8 cm / 6.3 cm/toothpick = 6 toothpicks to build your model.

When using cotton swabs, the height of your model will be 37.8 cm / 7.5 cm/cotton swab = 5.04 cotton swabs.

Rounding to the nearest whole number, you will need 5 cotton swabs to build your model.

So the answer is:

6 toothpicks

5 cotton swabs

Write an equation in standard form for the line.
Slope is 3, and (1, 6) is on the line.

Answers

Answer:

Step-by-step explanation:

m = 3

(1 , 6)

y - y1 = m(x -x1)

y - 6 = 3(x - 1)

y - 6 = 3x - 3

y = 3x - 3 + 6

y = 3x +3

Standard form:

-3x + y - 3 = 0

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