1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Akimi4 [234]
3 years ago
9

a line is perpendicular to y=-2x+5 and intersects the point (-4,2). what is the equation of this perpendicular line?

Mathematics
1 answer:
german3 years ago
6 0

Answer:

y = 1/2x + 4

Step-by-step explanation:

If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.

So solve for b: using y = mx + b

2 = 1/2(-4) + b

2 = -2 + b

4 = b

Put it all together

y = 1/2x + 4

You might be interested in
Kwans The Kenningy account balance was $20 his ending balance is zero dollars what integer represents the changing in his accoun
77julia77 [94]

The integer number that represents the changing in his account balance from beginning to end is of -20.

<h3>Which numbers belong to the set of integer numbers?</h3>

Non-decimal numbers, either positive or negative numbers, also zero, belong to the set, which can be represented by:

Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}

A change can be represented by the <u>final value subtracted by the initial value</u>. For this problem, we have that:

  • The initial balance is of $20.
  • The final balance is of $0.

Hence the change in the balance is:

0 - 20 = -20.

And the integer is -20.

More can be learned about integer numbers are brainly.com/question/17405059

#SPJ1

6 0
1 year ago
Jaylen earns $4250 each month at his job. At this rate, how much will he
dezoksy [38]

Answer:

<u>C. 76,500</u>

Step-by-step explanation:

<h2>18 months in 1 \frac{1}{2} years.</h2><h2>4250 x 18 = 76,500</h2>
4 0
2 years ago
4x + 20=? it’s hard and i’m confused
NikAS [45]

Answer:

4(x+5) I

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
An urn contains n white balls andm black balls. (m and n are both positive numbers.) (a) If two balls are drawn without replacem
Genrish500 [490]

DISCLAIMER: Please let me rename b and w the number of black and white balls, for the sake of readability. You can switch the variable names at any time and the ideas won't change a bit!

<h2>(a)</h2>

Case 1: both balls are white.

At the beginning we have b+w balls. We want to pick a white one, so we have a probability of \frac{w}{b+w} of picking a white one.

If this happens, we're left with w-1 white balls and still b black balls, for a total of b+w-1 balls. So, now, the probability of picking a white ball is

\dfrac{w-1}{b+w-1}

The probability of the two events happening one after the other is the product of the probabilities, so you pick two whites with probability

\dfrac{w}{b+w}\cdot \dfrac{w-1}{b+w-1}=\dfrac{w(w-1)}{(b+w)(b+w-1)}

Case 2: both balls are black

The exact same logic leads to a probability of

\dfrac{b}{b+w}\cdot \dfrac{b-1}{b+w-1}=\dfrac{b(b-1)}{(b+w)(b+w-1)}

These two events are mutually exclusive (we either pick two whites or two blacks!), so the total probability of picking two balls of the same colour is

\dfrac{w(w-1)}{(b+w)(b+w-1)}+\dfrac{b(b-1)}{(b+w)(b+w-1)}=\dfrac{w(w-1)+b(b-1)}{(b+w)(b+w-1)}

<h2>(b)</h2>

Case 1: both balls are white.

In this case, nothing changes between the two picks. So, you have a probability of \frac{w}{b+w} of picking a white ball with the first pick, and the same probability of picking a white ball with the second pick. Similarly, you have a probability \frac{b}{b+w} of picking a black ball with both picks.

This leads to an overall probability of

\left(\dfrac{w}{b+w}\right)^2+\left(\dfrac{b}{b+w}\right)^2 = \dfrac{w^2+b^2}{(b+w)^2}

Of picking two balls of the same colour.

<h2>(c)</h2>

We want to prove that

\dfrac{w^2+b^2}{(b+w)^2}\geq \dfrac{w(w-1)+b(b-1)}{(b+w)(b+w-1)}

Expading all squares and products, this translates to

\dfrac{w^2+b^2}{b^2+2bw+w^2}\geq \dfrac{w^2+b^2-b-w}{b^2+2bw+w^2-b-w}

As you can see, this inequality comes in the form

\dfrac{x}{y}\geq \dfrac{x-k}{y-k}

With x and y greater than k. This inequality is true whenever the numerator is smaller than the denominator:

\dfrac{x}{y}\geq \dfrac{x-k}{y-k} \iff xy-kx \geq xy-ky \iff -kx\geq -ky \iff x\leq y

And this is our case, because in our case we have

  1. x=b^2+w^2
  2. y=b^2+w^2+2bw so, y has an extra piece and it is larger
  3. k=b+w which ensures that k<x (and thus k<y), because b and w are integers, and so b<b^2 and w<w^2

4 0
3 years ago
PLEASE HELP IS POSSIBLE :)
Arisa [49]

Answer: 9 inches

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 1. What is the approximate volume of the cone? Use 3.14 for π.
    14·1 answer
  • The graph of function f a shown. Use the zeros and the turning points of the graph to find the rule for f.​
    9·1 answer
  • The Campbells make $65,000 a year and live in Minnesota, which has a median annual income of $57,288. If their monthly expenses
    9·2 answers
  • Select the correct answer.
    9·1 answer
  • Legislative Committee A legislative committee consists of 5 Democrats and 4 Republicans. A delegation of 3 is to be selected to
    5·1 answer
  • A group of friends were working on a student film. They spent all their budget on costumes and equipment. They spent $396 on cos
    15·1 answer
  • I need help with this question.​
    13·2 answers
  • In a race, 27 our of the 50 swimmers finished in less than 57 minutes. What percent of swimmers finished the race in less than 5
    8·2 answers
  • Do u have a trigonometric question involving video games??
    10·1 answer
  • WILL GIVE BRAINLIEST :D
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!