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2 years ago

How do you find the equation that is perpendicular to 2x-5y=20, passing through the point (7,-8)?

1 answer:

8 0

To find a perpendicular line you first need to see the equation in slope intercept form. To do that you need to solve for y.

2x - 5y = 20 ---> subtract 2x from both sides
-5y = -2x + 20 ---> divide by -5
y = 2/5x - 4

Now that you have this, note that a perpendicular line has opposite and reciprocal slope. Since the slope in our equation is 2/5, that means the new line will have -5/2 slope. So we use the point given and the slope to find the y intercept.

y = mx + b
-8 = -5/2(7) + b ---> multiply
-8 = -35/2 + b ---> add 35/2 to both sides
19/2 = b

Now use our new slope and new y intercept to write the new equation.

y = -5/2x + 19/2

You might be interested in

Regina, Phil, and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents th

Vladimir79 [104]

Answer:

Disagree

On weeks when Joseph works extra 2/3 hours more than Phil, Phil and Joseph can earn the same amount of money

Step-by-step explanation:

The given expression for the hourly earnings of Regina, Phil and Joseph are as follows;

Regina: 6.50·h + 16

Phil: 3·(2.5·H + 5)

Joseph: 7.50·h + 10

The number of hours worked = h

The hourly earnings for Phil equated to the hourly earnings of Joseph gives;

3·(2.5·H + 5) = 7.50·h + 10

Simplifying we get;

3 × 2.5·h + 3 × 5 = 7.50·h + 10

7.5·h + 15 = 7.50·h + 10

Which gives

15 = 10 + 5 = 10 which is not correct.

Therefore, when both Phil and Joseph works the same number of hours, in the week, Phil will earn 5 units more Joseph

However, we have that, where Joseph works extra 5/7.5 or 2/3 hours more than Phil, every week, they will earn the same amount of money every week.

Therefore, it is possible for Phil and Joseph to earn the same amount of money when Joseph works extra 2/3 hours more than Phil which gives;

On weeks when Joseph works extra 2/3 hours more than Phil, Phil and Joseph can earn the same amount of money.

3 0

3 years ago

What is this number in standard form?

attashe74 [19]

The number (7×100)+(4×1/100)+(8×1/1,000) in standard form is 7.0048 × 10²

<h3>How to write number in standard form?</h3>

The number can be represented in standard form as follows:

(7 × 100) + (4 × 1/100)+(8 × 1/1,000)

Therefore,

7 × 100 = 700 = 7 × 10²

4 × 1/100 = 4 × 10⁻²

8 × 1/1,000 = 8 × 10⁻³

Therefore,

7 × 10² + 4 × 10⁻² + 8 × 10⁻³ = 700.048 = 7.0048 × 10²

learn more on standard form here: brainly.com/question/22649174

#SPJ1

6 0

2 years ago

What multiplies to 16 and adds to negative 12

Romashka-Z-Leto [24]

Factor 16 and see the - factor pairs and add them, see which add to -12
-1-16=-17 nope
-2-8=-10 nope
-4-4=-8
hmm

we will solve with math
xy=16
x+y=-12
minus x both sides
y=-12-x
sub for y in other equation
x(-12-x)=16
-12x-x^2=16
add 12x+x^2 both sides
0=x^2+12x+16
use quadratic formula
if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

0=x^2+12x+16
a=1
b=12
c=16

x= $\frac{-12+/- \sqrt{12^{2}-4(1)(16) }}{2(1)}$
x= $\frac{-12+/- \sqrt{144-64 }}{2}$
x= $\frac{-12+/- \sqrt{80}}{2}$
x= $\frac{-12+/- 4\sqrt{5}}{2}$
x= $\frac{-6+/- 2\sqrt{5}$
x= $\frac{-6+ 2\sqrt{5}$ or $\frac{-6- 2\sqrt{5}$

aprox
x=-1.52786 or -10.4721

those are the numbers

the numbes are -1.52786 or -10.4721

6 0

3 years ago

Read 2 more answers

What is the distance (in units) between points C and D? Round to the nearest hundredth.

daser333 [38]

Answer:

b. 5.66

Step-by-step explanation:

Use pyramtherm theorem.

4^2+ 4^2= c^2

16+16=c^2

32=c^2

Sqaure root of 32= 5.65

Rounding up is 5.66

8 0

3 years ago

Read 2 more answers

Which of these strategies would eliminate a variable in the system of equations?

ahrayia [7]

Graphing or elimination

5 0

3 years ago