All categories

3 years ago

Determine the value of r so the line passing through each pair of points has the given slope

1 answer:

4 0

We can use the slope formula to solve this one:
$m=\frac{y_2-y_1}{x_2-x_1}$
$\frac{1}{2}=\frac{2-3}{r-6}$
$(r-6)=2(-1)$
$r-6=-2$
$r=4$

You might be interested in

Which phrase best describes the translation from the graph y=(x-5)^2+7 to the graph of y=(x+1)^2-2

Helga [31]

Start from the parent function $f(x)=x^2$

In the first case, you are computing

$f(x-5)+7$

In the second case, you are computing

$f(x+1)-2 /tex] There are two translation going on: when you transform [tex] f(x) \to f(x+k)$ , you translate the function horizontally, $k$ units left if $k>0$ and $k$ units right if $k$ .

On the other hand, when you transform $f(x) \to f(x)+k$ , you translate the function vertically, $k$ units up if $k>0$ and $k$ units down if $k$ .

So, the first function is the "original" parabola $f(x)=x^2$ , translated $5$ units right and $7$ units up. Likewise, the second function is the "original" parabola $f(x)=x^2$ , translated $1$ units left and $2$ units down.

So, the transformation from $(x-5)^2+7$ to $(x+1)^2-2$ is: go $6$ units to the left and $2$ units down

8 0

3 years ago

Read 2 more answers

Billy received a raise after his first year on the job to $45,000 from his initial salary of $42,400. What was his real raise st

solong [7]

Billy get 5.9% raise after completing first year.

<h3>What is PERCENTAGE?</h3>

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Here, Billy's initial salary = $ 42,500

After raise, salary become $ 45,000

Change in salary = Raised salary - Initial salary

= 45000 - 42500

= $ 2500

% Change = change / initial salary X 100

= 2500 / 42500 X 100

= 0.0589 X 100

≈ 5.9 %

Thus, Billy get 5.9% raise after completing first year.

Learn more about Percentage from:

brainly.com/question/14979505

#SPJ1

7 0

2 years ago

How many cups are in a gallon

Digiron [165]

1 cup: 8 oz
1 pint: 2 cups
2 pints: 1 quart
4 quarts: 1 gallon
by looking at this scale you will multiply the needed #s:
2 times 2 = 4 4 times 4 = 16 so there are 16 cups in a gallon

6 0

3 years ago

Read 2 more answers

Andrew bought a shirt and a pair of pants that cost $3675. The shirt costs double the pants. How much do they each cost?

vampirchik [111]

Answer: $7350

Step-by-step explanation:

$3675 x 2 = $7350

5 0

3 years ago

Read 2 more answers

Two different types of tea are sold in your store. If you know 100 cups of tea were sold and one type sold 5 times as much as th

LiRa [457]

The answer can not be found from the given information

Step-by-step explanation:

Two different types of tea are sold in your store

You know 100 cups of tea were sold
One type sold 5 times as much as the other type

We need to find how much of each type of tea were sold

Assume that the two types are x and y

∵ x represents one type of tea

∵ y represents the other type of tea

∵ 100 cups of tea where sold

- Add x and y, then equate the sum by 100

∴ x + y = 100 ⇒ (1)

∵ x type is 5 times as much as y type

∴ x = 5y ⇒ (2)

Now we have a system of equations to solve it

Substitute x in equation (1) by equation (2)

∴ 5y + y = 100

∴ 6y = 100

- Divide both sides by 6

∴ y = 16.67

<em>But you know number cups must be whole numbers</em>

The number cups can be 102 <em>OR</em> one type is 4 times as much as the other type

If the number of cups is 102, then

85 cups of one type and 17 cups of the other type were sold

If one type is 4 times as much as the other type, then

80 cups of one type and 20 cups of the other type were sold

The answer can not be found from the given information

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

8 0

3 years ago