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2 years ago

Which values of P and Q result in an equation with no solutions?

Mathematics

1 answer:

Ad libitum [116K]2 years ago

3 0

Try this solution/explanation:

<u>way 1</u>:

rule: for an equation where no roots P+Q=0. It means, Px-Qx=0, ⇔ x(P-Q)=0, ⇔ P=Q.

for answer 'D' P=Q=15.

<u>way 2</u>:

rule: if an equation of the line has a form y=kx+b, then y₁||y₂ if k₁=k₂. It means, for y₁=Px-45 || y₂=Qx+75, then P=Q. P=Q, if 'D' answer.

Answer: D

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Help 8th grade math need answers quick

stepladder [879]

Answer:

A few examples:

0. 0

1. Undefined

2. -3/5

3. Undefined

...

7. 493

8. 5/2

....

Learn how to find the slope below for the other problems.

Step-by-step explanation:

Slope is the rate of change for a linear function. It is found by subtracting the y values of two point on the line and dividing that difference by the difference of the x values of the points.

It can also be found using the formula y=mx+b known as the slope intercept form.

Here are a few examples:

0. This is a horizontal line which always has slope 0.

1. This is a vertical line which always has slope undefined.

2. Find two points that cross through a grid line intersection The line appears to cross them at (5,3) and (0,6). Count the unit squares between the two by counting up 3 and over to the left 5. Because it is left it is negative. The slope is -3/5

3. To find the slope, use the slope formula:

$\frac{y_2-y_1}{x_2-x_1}=\frac{6--4}{-2--2}=\frac{6+4}{-2+2}=\frac{10}{0}=undefined$

Since we can't divide by 0, it is undefined.

7. y=493x-257 follows the formula y=mx+b where m is the slope. m=493. The slope is 493.

8. Covert the equation into y=mx+b by rearranging the terms using y=mx+b.

5x-2y=48

-2y=48-5x

y=5/2 x -24

So the slope is 5/2.

8 0

3 years ago

Find the slope of the line passing through the points (-9, -6) and (-4, 5)

Masja [62]

Answer:

11/5 slope

Step-by-step explanation:

5-(-6) -4-(-9)

11/ 5

4 0

2 years ago

Read 2 more answers

Find two numbers whose sum is 25 and the sum of whose reciprocals is 1/6

Katen [24]

Answer:

10 and 15

Step-by-step explanation:

Let 'x' and 'y' are the numbers we need to find.

x + y = 25 (two numbers whose sum is 25)

(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)

The solutions of the this system of equations are the numbers we need to find.

x = 25 - y

1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y

6y + 6(25-y) = (25-y)y

6y + 150 - 6y = 25y - (y^2)

y^2 - 25y + 150 = 0 quadratic equation has 2 solutions

y1 = 15

y2 = 10

Thus we have :

First solution: for y = 15, x = 25 - 15 = 10

Second solution: for y = 10, x = 25 - 10 = 15

The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).

5 0

3 years ago

Remove the parentheses and simplify 3a^2-6ab+3b^2-5(-6a^2+7ab-7b^2)

Oksi-84 [34.3K]

$3a^2-6ab+3b^2-5(-6a^2+7ab-7b^2)=\\\\3a^2-6ab+3b^2+30a^2-35ab+35b^2=\\\\33a^2-41ab+38b^2$

4 0

2 years ago

The volume of the sphere is 500/3pi cubic units. What is the value of x

Sphinxa [80]

Answer:

Step-by-step explanation:

Formula for the volume of a sphere is V = (4/3) (π) r³

3V 4²

and so the cube of the radius, "r," is r³ = ------------- * -----

4 4²

Taking the cube root of both sides, we get

∛[3V / 4²] 3V

and so the radius, "r," is r = ------------------ = ∛ ( --------- ) = (1/4)*∛(3*v)

∛[4³] 4³

Then

r = (1/4)*∛(3*V), after substituting 500/(3π) for V, becomes:

r = (1/4)*∛[ 3*500/3π ] = (1/4)*∛[ 500/π ]

5 0

2 years ago