Mathematics College

1. Find the distance from point P to QS
SHOW ALL OF YOUR WORK

S(0,8)
R(-3,5)
Q(-5,3)
P(1, 1)

Answers

Answer 1

Answer:

5.7 units

Step-by-step explanation:

The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).

Use distance formula to calculate distance between P and R:

[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] P (1, 1) = (x_1, y_1) [/tex]

[tex] R(-3, 5) = (x_2, y_2) [/tex]

Plug in the values into the formula.

[tex] PR = \sqrt{(-3 - 1)^2 + (5 - 1)^2} [/tex]

[tex] PR = \sqrt{(-4)^2 + (4)^2} [/tex]

[tex] PR = \sqrt{16 + 16} [/tex]

[tex] PR = \sqrt{32} [/tex]

[tex] PR = 5.7 units [/tex] (to nearest tenth)

Related Questions

Convert 49 degrees to radians. Use 3.14 for \piπ. Round to the nearest hundredth.

Answers

49° × π/180 = 0.8552 radians.
after rounding to nearest hundredth is 0.86

Enter the ordered pair for the vertices for Rx-axis(QRST).

The graph with X-coordinate marks -4, -2, 0, 2, 4 and Y-coordinate marks -4, -2, -1, 0, 2, 4, 6. There is a polygon QRST with coordinates T at (-2, 3), Q at (1, 5), R at (3, -1) and S at (0, 0).

Answers

Given:

The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).

To find:

The vertices for [tex]R_{x-axis}(QRST)[/tex].

Solution:

The rule [tex]R_{x-axis}(QRST)[/tex] represents refection of polygon QRST across the x-axis.

If a figure is reflected across the x-axis, then

[tex](x,y)\to (x,-y)[/tex]

Using this rule, we get

[tex]T(-2,3)\to T'(-2,-3)[/tex]

[tex]Q(1,5)\to Q'(1,-5)[/tex]

[tex]R(3,-1)\to R'(3,1)[/tex]

[tex]S(0,0)\to S'(0,0)[/tex]

Therefore, the vertices for [tex]R_{x-axis}(QRST)[/tex] are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).

Rx-axis means that the polygon QRST is reflected across the x-axis.

The ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)

The points are given as:

[tex]\mathbf{Q = (1,5)}[/tex]

[tex]\mathbf{R = (3,-1)}[/tex]

[tex]\mathbf{S = (0,0)}[/tex]

[tex]\mathbf{T = (-2,3)}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{Q' = (1,-5)}[/tex]

[tex]\mathbf{R' = (3,1)}[/tex]

[tex]\mathbf{S' = (0,0)}[/tex]

[tex]\mathbf{T' = (-2,-3)}[/tex]

Hence, the ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)

Answers

Answer:

1. 2.

-3, 4 -3, 2

-1, 2 0, 1

0, 1 3, 0

4, -3 6, -1

Step-by-step explanation:

kala is saving money to buy a bike that cost $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money to buy the bike?

Answers

In exponential form it’s: 125=60(1.05)^x
So it should be around 15.043 weeks
If you have to round up to then next week then the answer is 16 weeks she will have enough money to buy the bike. I’m

Please help me ! Today 11/6/2020 :(

Answers

i believe the answer is c, TSR

Solve the inequalities

Answers

Answer:

x=3

Step-by-step explanation:

[tex]-15x+32=13\\-15x=13-32\\-15x=-45\\x=-45/-15\\x=3[/tex]

Step-by-step explanation:

To Solve This Equation You will need to

follow this;

Original Equation;

-15x+32=-13

•(Firstly you will Group Like Terms)

-15x=-13-32

•(After Grouping you will go ahead and simplify)

-15x=-13-32

(You will have to add the two negative numbers and note that negative plus negative is still negative even though there is no addition sign there but you'll add them because when there is two negatives without a multiplication or division or any other sign you have to add)

-15x=-13-32

-15x=-45

(Then you proceed to divide both sides by -15)

x=3

This is because -45 divided by -15 is positive 3

Positive 3 because the negative signs cancel each other out.

Solve one fourth plus ten sixteenths

Answers

Answer:

The answer is 0.875

Answer:

Step-by-step explanation:

how do i work this out.
write 600 as the product of prime factors. Give your answer in index form

Answers

You can do it as 2•2•2•3•5•5 or you can do 2 to the third power, times three to the first power, times five to the second power.

You are in charge of food shopping for a party. You need to buy snacks and soda. A bag of snacks costs $2 and a pack of soda $3.5. If your mom gives you $25 to buy groceries and you buy 8 bags of snacks, how many packs of soda can you buy?

Answers

Answer:

2 bags

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

2x8=16

25-16=9

3.5+3.5=7

Which step will get you closest to the solution of this equation?
5.2 – 2)=7
(Imagine math)

Answers

Answer:

I'm pretty sure it's the to right one

Step-by-step explanation:

5x-10=7 because you have to distribute the left side

Help!!I will give BRAINLIEST

Answers

Answer:

3.125

Step-by-step explanation:

Hope this helps!! :)

Answer:

3.05

Step-by-step explanation:

Find the volume of the sphere. Sorry the pic isn’t the best! I tried lol!

Answers

Answer:

4,186.6 repeated (just round to .7 if it asks for it)

Step-by-step explanation:

The volume of a sphere is 4/3 pi r^3

plug in the radius and simplify that expression

James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.

Answers

Answer:2 4 and 5

Step-by-step explanation:

If $5000 is put into a savings account that pays
3.5% interest compounded monthly, how much
money, to the nearest ten cents, would be in that
account after 6 years, assuming no money was
added or withdrawn?

Answers

Answer:

17600

Step-by-step explanation:

calculator

Based on the amount of money being saved and the amount of time it will be saved, the amount in the account after 6 years would be $6,166.51

The interest is compounded monthly which means that you need to convert the interest to a monthly figure as well as the number of years you will be investing:

3.5% / 12 months = 3.5/12%

6 years x 12 = 72 months

The amount after 6 years is:

= Amount x (1 + rate) ^ number of periods

= 5,000 x (1 + 3.5/12%)⁷²

= $6,166.51

In conclusion, the amount in the account after 6 years is $6,166.51.

Find out more at https://brainly.com/question/20883478.

A line passes through the point (0,-4) and has slope-5. What is the equation of the line in slope-intercept form?

Answers

Y= -5x -4 because you would do slope intercept form and sub the y and x in for -4 and 0

Answer:

Y=-5x-4

Step-by-step explanation:

what is the estimate the product of 324 × 26 pls help me I forgot how to estimate

Answers

Answer:

(Not only one answer)

Step-by-step explanation:

Estimate means to round in a way.

I would do this by making the equation to ...

320 x 20

320 x 25

320 x 30

325 x 25

etc.

its 9600 because the rounded up of 324 is 320 and the rounded up of 26 is 30 so 320×30 is 9600

What is the relationship between the continental drift hypothesis and the theory of
plate tectonics?

Answers

Answer:

Plate tectonics explains why Earth's continents are moving; the theory of continental drift did not provide an explanation. Therefore, the theory of plate tectonics is more complete. It has gained widespread acceptance among scientists.

Step-by-step explanation:

Do some research on it.

4n + 1= 25 how do I solve this and show my work?

Answers

Answer:

n=6

Step-by-step explanation:

4n + 1= 25

Move constant to the right

4n=25-1

Calculate

4n=25-1

Then divide on both sides

Answer:

Today: Friday, 06 November 2020

Hour: 09.44 WIB (Indonesia)

_______________________________

4n + 1 = 25

4n = 25 - 1

4n = 24

n = 24/4

n = 6

What's the range in the question below. Please answer one of the answer choices.

Answers

Answer:

yo I'm doing the same thing

Zoey wants to use her iPad throughout a 6-hour flight. Upon takeoff, she uses the iPad for 2 hours and notices that the battery dropped by 25%, from 100% to 75%. How many total hours can Zoey expect from the iPad on a full battery charge?

Answers

Answer:

6 hours more

Step-by-step explanation

When Zoey started the flight the battery was 100%, then it dropped to 75% in 2 hours. So each 25% will last 2 hours and there is 75% remaining which if you divide by 3 it will give 1. And each 25% will last 6 more hours until the battery dies.

Misty wants to save money to purchase a new bicycle that costs $279. She
opens a savings account and deposits $7 per week. How many weeks will it
take for her to save enough money to buy the bicycle?

Answers

Answer: Hmm, I want to say it will be about 40 weeks before she can get the bike, hope this helps!

Step-by-step explanation:

Answer:

40 weeks

Step-by-step explanation:

My dog Tucker went on a diet. He used to weigh 36 pounds. He now weighs only 24 pounds. What was the percent of decrease? (Round your answer to the nearest whole percent)

Answers

Answer:

34%

Step-by-step explanation:

34% BRAINLIEST PLS :)

Enter the product. Use expanded form to help.
5 X 64
=

Answers

Answer:

Step-by-step explanation:

Multiplying In Expanded form;

We are multiplying ×64 in expanded form is;

In multiplying in expanded form you multiply them separately;

60 multiplied by 5 which is going to be; 300

4multiplied by 5 is going to be; 20

Then you add the products from multiplying the separate numbers which is;

300+20

=320

which image shows the opposite of the opposite of `2/3` on a vertical number line

Answers

Answer:

Step-by-step explanation:

only one with negative 1

The number line shows the graph of an inequality:

A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the seventh mark to the left of 0. The region to the left of the empty circle is shaded.

Which statement explains whether −4.5 can be a value in the shaded region? (5 points)

Group of answer choices

No it cannot, because −4.5 lies to the left of −3.5.

No it cannot, because −4.5 lies to the right of −3.5.

Yes it can, because −4.5 lies to the right of −3.5.

Yes it can, because −4.5 lies to the left of −3.5.

Answers

Answer:

Problem says that the number line shows the graph of an inequality: A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the third mark to the left of 0. The region to the left of the empty circle is shaded. Graph is not given so I have created graph as per given description.

Now we have to select correct choice.

From graph we can easily see that third statement

"Yes it can, because −3.5 lies to the left of −1.5. " is correct.

Step-by-step explanation:

The answer is D

Evaluate each expression for the given value of the variables. 2x + y for x= 7 and y = 11

Answers

Answer:

Step-by-step explanation:

Substitute 7 into 2, and 11 into y.

2(7)+(11)

14+11

Consider the graph below of a piecewise defined function.
Which of the following statements are true? Select all that apply.
A. The graph is increasing when x<-2.
B. The graph has a relative minimum at (0, 0).
C. The graph has two relative maximums.
D. The graph is decreasing when -2 E. The domain is -6 F. The range is x≤4.

Answers

Answer:

D is the answer

Step-by-step explanation:

d is answer hope it helps for the question

What is the sum of F(X) and G(x) if F(x) = 8x ^ 3 + 7x ^ 2 - 11x + 20 and G(x) = - 5x ^ 3 - 4x ^ 2 - 17

Answers

Answer:

[tex]3x^{3}+3x^{2}-11x+3[/tex]

Step-by-step explanation:

f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]

To make this equation a little less long, we combine like terms

[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]

or just

[tex]3x^{3}+3x^{2}-11x+3[/tex]

Which entry describes electromagnetic energy?

Answers

Answer:

energy D

Step-by-step explanation:

PLEASE HELP ME ASAP

Answers

Answer:

The answer is Option D

Step-by-step explanation:

Supplementary angles are angles that sum up to 180 °

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1. Find the distance from point P to QS SHOW ALL OF YOUR WORK S(0,8) R(-3,5) Q(-5,3) P(1, 1)

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1. Find the distance from point P to QS
SHOW ALL OF YOUR WORK

S(0,8)
R(-3,5)
Q(-5,3)
P(1, 1)