Question 9 of 25

Mathematics

2 answers:

mote1985 [20]1 year ago

5 0

Answer:

Step-by-step explanation:

an arithmetic sequence is B

laila [671]1 year ago

4 0

Answer:0c

Step-by-step explanation:

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Solve for x <br> 4x+3 X-8

Karo-lina-s [1.5K]

We know this angle is a 90° or a right angle. So another words we know adding these 2 expressions equals to 90°.

(4x + 3) + (x - 8) = 90°

Remove the parentheses and combine the like-terms:

5x - 5 = 90°

Add 5 on both sides:

5x = 95°

Divide 5 on both sides

x = 19

You answer is x = 19.

3 0

1 year ago

Which value of m will create a system of parallel lines with no solution? y=mx-6 8x-4y=12 A coordinate grid with one line labele

nydimaria [60]

Answer:

A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2

Step-by-step explanation:

The equation of the given line is 8·x - 4·y = 12

Which gives;

8·x- 12= 4·y

y = 2·x - 3

Given that the line passes through the points (0, -3) and (1, -1), we have;

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

When (x₁, y₁) = (0. -3) and (x₂, y₂) = (1, -1), we have;

$Slope, \, m =\dfrac{(-1)-(-3)}{1-(0)} = 2$

y - (-3) = 2×(x - 0)

y = 2·x - 3 which is the equation of the given line

For the lines 8·x - 4·y = 12, which is the sane as y = 2·x - 3 and the line y = m·x - 6 to have no solution, the slope of the two lines should be equal that is m = 2

Given that the line passes through the point (1.5, 0), we have;

y - 0 = 2×(x - 1.5)

y = 2·x - 3...................(1)

For the equation, y = m·x - 6, when m = 2, we have;

y = 2·x - 6..................(2)

Solving equations (1) and (2) gives;

2·x - 3 = 2·x - 6, which gives;

2·x - 2·x= - 3 - 6

0 = 9

Therefore, a system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2.

4 0

3 years ago