MATHEMATICS HIGH SCHOOL

= Find the slope of a line that goes through the (-3,2) and (1,5)PLz helpp Im confused on this

Answers

Answer 1

Answer:

Answer:

The slope is $(3)/(4)$ .

Step-by-step explanation:

$m=(rise)/(run)=(5-2)/(1+3)=(3)/(4)$

Hope this helps.

Answer 2

Answer:

Answer:

-2/3 (fraction)

Step-by-step explanation:

Related Questions

Which property explains why these two expressions are equal? 5(g + h) = 5g + 5h A) associative B) commutative C) distributive D) inverse
Identify the domain and range of the function graphed below. Domain: Range:
What is bigger 7/8 or 0.78
What is the 8th term in the addition pattern with formula 9n + 5? A. 22 B. 68 C. 72 D. 77
What is 12/16 in it's lowest term

Your parents are planning to rent you an apartment when you go to college. The annual contract is $535.00/month with a 2 month penalty for breaking the lease. The month-to-month contract is $615.00/month. What is the difference in the amount paid if you leave after 8 months?

Answers

Answer:
difference in amount = $430

Explanation:
1- Annual contract:
The annual contract means a contract for 12 months. There is a month penalty for breaking the lease.
This means that, if you left after 8 months, you will have to pay for 10 month.
Total paid = monthly payment * 10
Total paid = 535 * 10 = $5350

2- Month-to-month contract:
You will only paid for the 8 months you stayed,
Total paid = monthly payment * 8
Total paid = 615 * 8 = $4920

3- Getting the difference:
We can note that a month-month contract is a better option if you intend to stay for only 8 months
Difference = 5350 - 4920 = $430

Hope this helps :)

Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets. Manny would like a mixture of 60 detergent and 40% water in a 5 gallon buckets. To make this he combined some 80/20 mixture with some pure water in each 5 gallon bucket. How much gallons of pure water does Manny add to each 5 gallon bucket.

Answers

Answer:

1.67 gallons

Step-by-step explanation:

Given that:

Original mixture contains 80% detergent and 20% water in a 15 gallon bucket.

New Mixture to contain 60% detergent and 40% water of 5 gallon bucket.

To find:

Volume of Pure water to be added to each 5 gallon bucket to obtain the new mixture.

Solution:

First of all, let us calculate the answer by adding pure water to 15 gallon bucket.

Let the number of gallon of water to be added = $x$

New volume = (15+ $x$ ) gallons

Now, let us compare the number of gallons of water in the mixture before and after.

$15* 20\% + x = (15+x)* 40\%\n\Rightarrow (3+x)* 5 = (15+x)* 2\n\Rightarrow 15+5x=30+2x\n\Rightarrow 3x=15\n\Rightarrow x =5\ gallons$

Therefore, to a 15 gallon bucket (80% detergent and 20% water)of detergent mixture, if we add 5 gallons of pure water , it will become 60% detergent and 40% water.

To a 5 gallon bucket, the number of gallons of water to be added = $(5)/(3) =\bold{1.67\ gallons}$

Find the inverse function of h(x) = - 2/3x + 6. h -1(x) = -x + 9 h -1(x) = -x - 6 h -1(x) = -x + 9 h -1(x) = -x - 6

Answers

I hope this helps you

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (0,3) Midpoint: (5,-9)

Answers

endpoint (10,-21) i think that is the answer
hope it helps

What is the perimeter of polygon ABCD?

Answers

Answer:

The perimeter is the sum of the length of the sides of a certain shape. In this case, the perimeter of the polygon would be the sum of the lengths of sides AB, BC, CD, and DA.

Step-by-step explanation:

Lets start computing the length of each side of the polygon. Using points A and B as a first example, we find that the distance between them will be:

$d_(AB)=√((x_A - x_B) ^2+(y_A - y_B) ^2 )$

Where $(x_A , y_A )$ and $(x_B , y_B )$ are the coordinates of points A and B respectively.

From the graph we can see that point A has coordinates (5, 12), B has coordinates (9, 9), C has coordinates (12, 5), and D has coordinates (0, 0). Puting values and computing the lengths we find that:

Lenght AB:

$d_(AB)=√((x_A - x_B) ^2+(y_A - y_B) ^2)=√((5 - 9) ^2+(12 - 9) ^2)$

$d_(AB)=√((-4) ^2+(3) ^2 ) =√(16 + 9 )=√(25)$

$d_(AB)=5$

Lenght BC:

$d_(BC)= √((x_B - x_C) ^2 + (y_B - y_C) ^2 ) = √((9 - 12) ^2 + (9 - 5) ^2 )$

$d_(BC)=√((-3) ^2 + (4) ^2 )=√(9 + 16 ) =√(25)$

$d_(BC)=5$

Lenght CD:

$d_(CD)= √((x_C - x_D) ^2 + (y_C - y_D) ^2 ) = √((12 - 0) ^2 + (5 - 0) ^2 )$

$d_(CD)=√((12) ^2 + (5) ^2 ) = √(144 + 25 ) = √(169)$

$d_(CD)=13$

Lenght DA:

$d_(DA)= √((x_D - x_A) ^2 + (y_D - y_A) ^2 ) = √((0 - 5) ^2 + (0 - 12) ^2 )$

$d_(DA)=√((-4) ^2 + (-12) ^2 ) = √(25 + 144 ) = √(169)$

$d_(DA)=13$

Therefor the result will be:

$Perimeter = d_(AB) + d_(BC) +d_(CD) +d_(DA)= 5 + 5 + 13 + 13 = 36$

Answer: 36 lol

Step-by-step explanation:

In the figure above, lines k, l, and m intersect at a point. If x + y = u + w , which of the following must be true?

Answers

From the given equation we have x=z and t=z. Therefore, option B is the correct answer.

Given that, lines k, l, and m intersect at a point.

What is vertical angle theorem?

Vertical angles theorem or verticallyopposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

From the given figure,

Using vertical angle theorem, we have

x°=t°

y°=u°

w°=z°

If x + y = u + w, then

x+u=u+z

⇒ x=z

If x + y = u + w, then

t+u=u + z

⇒ t=z

So, x=z and t=z

From the given equation we have x=z and t=z. Therefore, option B is the correct answer.

To learn more about the vertical angle theorem visit:

brainly.com/question/8119520.

#SPJ2

Answer:

Step-by-step explanation:

First, let's write down what we know based on the Vertical Angle Theorem and the info given by the question:

1. Vertical angle theorem claims that opposite angles are the same, therefore:

2. We know from the problem that:

x+y = u+w

3. Now for the proofing:

Since x+y = u+w, let us try to cross off the variable u and see if we can get x equaling to w.

We know that y=u, so let us switch out y for another u, allowing the same variable to cross out

x+y = u+w --> x+u = u+w --> x=w

Ok now we know x=w, and recall that w=z. So x would also equal to z!

Let us try to proof z=t:

We know that x=t

But now we also know that x=z (from previous)

Therefore we can substitute the z in for x in x=t and voila z=t!

Try finding out if y=w. No matter how many equations you create, they are not the same. It would not make sense either if you use this equation: x+y = u+w. If w and x are the same then y cannot be anything except being equal to "u". We cannot prove that u is equal to anything else either.

Therefore the answer is B)

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