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Readme [11.4K]
3 years ago
11

Find the equation of a line perpendicular to 4x−y=2 that contains the point (4,−2). Write the equation in slope-intercept form.

Mathematics
1 answer:
attashe74 [19]3 years ago
5 0

Step-by-step explanation:

4x -y =2

-y = -4x + 2

y = 4x -2

slope = 4

perpendicular slope is negative inverse

so -1/4

y- -2 = -1/4(x - 4)

y+2 = -1/4x +1

y = -1/4x -1

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Which expression is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the thi
zaharov [31]

The expression is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the third power is; Option A; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power

<h3>How to solve exponents?</h3>

We want to find the expression that is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the third power.

The sentence above can be expressed as;

((1.5⁵)/(0.7⁴))³

This can be broken down into;

[1.5^(5 * 3)]/(0.7^(4 * 3))

1.5¹⁵/0.7¹²

Looking at the options, the only correct one is;

Option A; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power

Read more about Exponents at; brainly.com/question/11975096

#SPJ1

3 0
2 years ago
Simplify 15 - 4(11 - 8).<br><br> A. 27<br><br> B. 3<br><br> C. -3<br><br> D. 21
motikmotik

Answer:

15-44+32= 3

Step-by-step explanation:

3 0
3 years ago
2. Write a quadratic function that has -intercepts (- 3, 0) and (4, 0) and passes through the point (5, 8)
Reptile [31]

Answer:

f(x)=x^2-x-12

Step-by-step explanation:

<u>Quadratic Function</u>

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

f(x)=ax^2+bx+c

where a,b, and c are constants.

When the zeros of f (x1 and x2) are given, it can be written as:

f(x)=a(x-x1)(x-x2)

Where a is a constant called the leading coefficient.

We are given the two roots of f: x1=-3 and x2=4, thus:

f(x)=a(x+3)(x-4)

We also know that f(5)=8, thus:

f(5)=a(5+3)(5-4)=8

Operating:

a(8)(1)=8

Solving:

a=1

The function is:

f(x)=1(x+3)(x-4)

Operating:

\boxed{f(x)=x^2-x-12}

5 0
3 years ago
By what percent will a fraction decrease if its numerator is increased by 20% and its denominator is increased by 50%?
Brums [2.3K]
Lets find out...

our fraction is 1/2.....
when the numerator is increased by 20%......1 + 0.20(1) = 1.2
when the denominator is increased by 50%....2 + 0.50(2) = 3

1/2 = 0.5....original fraction
1.2 / 3 = 0.4.....increased fraction

 decrease = (original number - new number) / original number...* 100
                 = (0.5 - 0.4) / 0.5...* 100
                 = (0.1 / 0.5)....* 100
                = 0.2 * 100
                = 20% decrease <====
3 0
3 years ago
Read 2 more answers
What is the measure of angle DEG on circle O? Please help! 50 points!
SIZIF [17.4K]

Answer:

50 degrees

Step-by-step explanation:

4 0
3 years ago
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