All categories

3 years ago

What is the slope of the line that is perpendicular to the line whose equation is 2x+y=4??

Mathematics

1 answer:

zmey [24]3 years ago

6 0

Answer:

The slope would be 1/2

Step-by-step explanation:

y= mx +b

m= slope

perpendicular lines have slopes that are multiplied in order to get -1

these are important

2x + y = 4

subtract 2x

y=-2x +4

your slope is -2

-2 * ? = -1

? = -1/-2

? = 1/2

You might be interested in

Nicole sold 2 times more t-shirts than

Pachacha [2.7K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Given that α and β are the roots of the quadratic equation <img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B6x-7%3Dp" id="Tex

siniylev [52]

Answer:

$\large \boxed{\sf \ \ \ p=-11 \ \ \ }$

Step-by-step explanation:

Hello,

$\alpha \text{ and } \beta \text{ are the roots of the following equation}$

$2x^2+6x-7=p$

It means that

$2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\$

And we know that

$\alpha= 2\cdot \beta$

So we got two equations

$2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\6\beta^2+6\beta =0\\\\\beta(\beta+1)=0\\\\ \beta =0 \ or \ \beta=-1$

For $\beta =0, \ \ \alpha =0, \ \ p = -7$

For $\beta =-1, \ \ \alpha =-2, \ \ p= 2-6-7=-11, \ p=2*4-12-7=-11$

I assume that we are after two different roots so the solution for p is p=-11

b) $\alpha +2 =-2+2=0 \ and \ \beta+2=-1+2=1$

So a quadratic equation with the expected roots is

$x(x-1)=x^2-x$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0

3 years ago

The ratio of the number of Sam's CDs to the number of Alice's CD's is 7 to 8. Sam has 84 CDS.

Alex

Answer:

180 CDs

Step-by-step explanation:

So if Sam has 84 CDs, and the ratio from Sam to Alice is 7:8, we can do 84/7=12 so each number is equal to 12. Then we add up 7 and 8 and get 15, so we do 15*12 and we get 180.

7 0

3 years ago

MAY I GET HELP PLEASE?

Mrac [35]

Answer:

For Part A equation: 32 + 4x = 240

8 0

3 years ago

Read 2 more answers

Can someone please help me workout this problem? If the quotient obtained by dividing 8x^4 - 2x^2 + 6x - 7 by 2x+1 is equal to 4

Angelina_Jolie [31]

Answer:

The answer to your question is p = -2 q = -6 remainder = -10

Step-by-step explanation:

Data

Dividend = 8x⁴ - 2x² + 6x - 7

Divisor = 2x + 1

Quotient = 4x³ + px² - qx + 3

Process

1.- Divide using long division

4x³ - 2x² + 3

2x + 1 8x⁴ + 0x³ - 2x² + 6x - 7

- 8x⁴ - 4x³

0 - 4x³ - 2x²

+ 4x³ +2x²

0 0 + 6x - 7

-6x - 3

0 - 10 Remainder

px² = -2x² then p = -2

-qx = 6x then q = -6

5 0

3 years ago