All categories

3 years ago

Which of the following equations represents a line that is parallel to the line that passes through the points below?

Mathematics

1 answer:

Pepsi [2]3 years ago

3 0

Answer:

See below

Step-by-step explanation:

Two lines are parallel if they have the same slope but different y-intercepts. So the slope that can be formed given the points (-3,6) and (9,2) is (9-(-3))/(2-6)=12/-4=-3

With y=-3x+b, we need b, which can be found by plugging in either point:

2=-3(9)+b

2=-27+b

29=b

So the y-intercept therefore cannot be 29 but it can be any real number.

So the equation y=-3x+2 works, y=-3x+3, y=-3x+4, and so on....

You might be interested in

Which expressions are polynomials?

Drupady [299]

Answer:

The third one

Step-by-step explanation:

5 0

3 years ago

In the figure CD is the perpendicular bisector of AB . If the length of AC is 2x and the length of BC is 3x - 5 . The value of x

Dennis_Churaev [7]

Answer

Find out the value of x .

To proof

SAS congurence property

In this property two sides and one angle of the two triangles are equal.

in the Δ ADC and ΔBDC

(1) CD = CD (common side of both the triangle)

(2) ∠CDA = ∠ CDB = 90 °

( ∠CDA +∠ CDB = 180 ° (Linear pair)

as given in the diagram

∠CDA = 90°

∠ CDB = 180 ° - 90°

∠ CDB = 90°)

(3) AD = DB (as shown in the diagram)

Δ ADC ≅ ΔBDC

by using the SAS congurence property .

AC = BC

(Corresponding sides of the congurent triangle)

As given

the length of AC is 2x and the length of BC is 3x - 5 .

2x = 3x - 5

3x -2x =5

x = 5

The value of x is 5 .

Hence proved

7 0

3 years ago

Read 2 more answers

1/2x-9=-25 what is your answer

Elodia [21]

First, let's only the expression with x stay on the let side: let's add 9 to both sides of the equation.

$\frac{1}{2} x-9+9=-25+9$
which is
$\frac{1}{2}x=-16$

now, let's multiply everything by 2:

$\frac{2}{2} x=-16*2$
$x=-32$

so the answer is -32!

4 0

3 years ago

Jonathon and Raymond earn a base salary plus commission. Jonathon earns $1500 plus 10% of his sales each month. Raymond earns $1

joja [24]

Answer:

The Jonathon and Raymond need to sell 6000 sales to earn the same amount each month.

Step-by-step explanation:

Given data

Let no. of sales = x

Jonathon earning = $ 1500 + $\frac{10}{100} x$