The sum of two numbers is 45 and their product is 500

Find the equation of a line that is parallel to line g that contains (P, Q).

Fofino [41]

Correct option:

$\boxed{x-y=P-Q}$

<h2>Explanation:</h2>

Given that the line we are looking for is parallel to g, then the slope of that line and g is the same, therefore:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ (x_{1},y_{1})=(-3,2) \\ \\ (x_{2},y_{2})=(0,5) \\ \\ \\ m=\frac{5-2}{0-(-3)}=1$

So we can write the point-slope form of the equation of the line as follows:

$y-y_{0}=m(x-x_{0}) \\ \\ (x_{0},y_{0})=(P,Q) \\ \\ \\ y-Q=1(x-P) \\ \\ y-Q=x-P \\ \\ \\ Arranging: \\ \\ P-Q=x-y \\ \\ \boxed{x-y=P-Q}$

<h2>Learn more:</h2>

Graphying systems of linear equations: brainly.com/question/13799715

#LearnWithBrainly

8 0

3 years ago

Read 2 more answers

Josiah traveled 79.5 miles on 3 gallons of gasoline. At this rate, how many gallons of gasoline would he need to travel 265 mile

BigorU [14]

Josiah would need 10 gallons to travel 265 miles.

First we divide 79.5 by 3 to find out how many gallons are needed for one mile.

79.5/3=26.5

For one mile we need 26.5 gallons of gas.

Now we will divide 265 by 26.5 to find the answer to the problem.

265/26.5=10

Josiah will need 10 gallons of gas to travel 265 miles

7 0

3 years ago

Read 2 more answers

PLEASE HELPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

OLga [1]

The set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

<h3>How to generate the numbers in the Collatz Conjecture</h3>

To start with, we make use of the following starting point:

Starting point = 1

The rule is given as:

If the last number is odd, multiply it by 3 and add 1.
If the last number is even, divide the number by 2.

1 is an odd number.

So, we use the first rule

So, we have:

1 * 3 + 1 = 4

4 is an even number.

So, we use the second rule

So, we have:

4/2 = 2

So, the first three numbers in the Collatz Conjecture are:

1, 4, 2

Using the given rules, we have:

1, 4, 2, 1, 4, 2, 1, 4, 2....

The above means that there is only one set of repeating numbers in the Collatz Conjecture.

Hence, the set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

Read more about sequence at:

brainly.com/question/7882626

#SPJ1

5 0

2 years ago

WILL MARK BRAINLIEST HELP ASAP ASAP

Kamila [148]

Answer:

C. AAS

Step-by-step explanation:

they share 2 angles(A) you can tell by the markings and they share that one side

by this point you have 2 options left

ASA

or

AAS

the angles are right next to each other so it's AAS

7 0

3 years ago

If one of the zeros of the cubic polynomial x3 + ax2 + bx + c is -1, then what will be the product of the other two zeros?

zhenek [66]

Answer:

The product of the other two zeros is c

Step-by-step explanation:

Let α, β and γ be the zeros of the polynomial x³ + ax² + bx + c. Since one of the zeros is -1, therefore let γ = -1. Hence:

sum of the roots = α + β + γ = -a

-1 + β + γ = -a

β + γ = -a + 1

αβ + αγ + βγ = b

-1(β) + (-1)γ + βγ = b

-β -γ + βγ = b

Also, the product of the zeros is equal to -c, hence:

αβγ = -c

-1(βγ) = -c

βγ = c

Hence the product of the other two zeros is c

6 0

3 years ago