The verticles of a triangle are the points R(3,c),Q(9,2) and R(3c,11) where c is constant. Given that angle PQR is 90​

Answers

Answer 1

Answer:

Step-by-step explanation:

Find c if ∠PQR = 90°?

I will ASSUME you mean point P is at (3. c)

slope of PQ is (2 - c) / (9 - 3) = (2 - c) / 6

slope of QR is (11 - 2) / (3c - 9) = 9 / (3c - 9)

perpendicular lines have negative reciprocal slopes.

(2 - c) / 6 = -1(3c - 9)/9

9(2 - c) = -6(3c - 9)

18 - 9c = -18c + 54

       9c = 36

         c = 4


Related Questions

A bicycle has a listed price of $643.95 before tax. If the sales tax rate is 6.75%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

  $687.42

Step-by-step explanation:

The total with tax is ...

  (price) + (tax rate)×(price)

  = price(1 +tax rate)

  = $643.95×1.0675 ≈ $687.42 . . . price with tax

i need help fast plz

Answers

Answer:

27/16

Step-by-step explanation:

[tex]12 \div \left(2 + \dfrac 23 \right)^2\\\\\\=12 \div \left(\dfrac 83 \right)^2\\\\\\=12 \div \dfrac{64}9\\\\\\=12 \times \dfrac{9}{64}\\\\\\= \dfrac{3 \times 9}{16}\\\\\\=\dfrac{27}{16}\\\\\\=1\dfrac{11}{16}[/tex]

HURRY!!! Please?? 12 POINTS

Answers

The answer for this question is c


Determine whether a triangle with the given side lengths is a right triangle.

Answers

Answer:

yes yes no no

Step-by-step explanation:

use the Pythagorean theorem. sub a^2+b^2=c^2.

c is the largest number, and you can plug the 2 other values into a and b.

What are the coordinates of the point (-4, 2) after a translation 2 units left and 2 units up?

A (-2, 0)
B (-6,0)
C (-2, 4)
D (-6, 4)

Answers

Answer:

the answer you're looking for is D. when you move to the left the -4 becomes -6 and when you move up 2 becomes 4.

40% of the plants in Marcy's garden are root vegetables. If 20 plants are root vegetables, how many plants are in Marcy's garden in all?

Answers

Answer:

dont do anything if im wrong but i thinks its 50 plants

Step-by-step explanation:

E

A guy wire runs from the top of a cell tower to a metal stake in the ground. Jayden places a 8-foot tall pole to support the guy wire. After placing the pole, Jayden measures the distance from the stake to the pole to be 5 ft. He then measures the distance from the pole to the tower to be 21 ft. Find the length of the guy wire, to the nearest foot.

Answers

Answer:

length of the guy wire: 49.056

Step-by-step explanation:

here are the steps

Answer:

47 FT

Step-by-step explanation:

(y-5)+0=(y-5)
Identify the property

Answers

Answer:

Identity property of addition

Step-by-step explanation:

If you spend 3/5 of your $40 gift card, how much money will be left on it?

Answers

Answer:

$16

Step-by-step explanation:

1-⅗=⅖

40×⅖=16

Here's the answer

lines that meet each other at a right angle are called ____​

Answers

Answer: Perpendicular

Explanation:

One example of a pair of perpendicular lines would be having one horizontal line and one vertical line. They form a right angle which is 90 degrees.

Answer:

Perpendicular lines

Step-by-step explanation:

I think that when two lines meet each other in right angle it ie called

At a video arcade, the action video games this week cost $25, which is 125% of last week's price. What was its price last week?

A. $20

B. $15

C. $40

D. $25

Answers

Answer:

A

Step-by-step explanation:

125% of 25 is the same as 5/4 of 25.

Divide by 5 and you get 5. 1/4 is 5, so 100% or 4/4 is 20

Answer:

it's a

Step-by-step explanation:

trust

What is 8 hours and 37 minutes converted into minutes?

Answers

Answer:

517 minutes

Step-by-step explanation:

Hope this helps:))

Answer:

517 mins

Step-by-step explanation:

1hour=60min

8hour=480min

37min is the same because it is already in minutes

480+37=517mins

The length of a slide on a swing set is 10 ft. The
distance from the base of the ladder to the base of the slide
is 2 ft more than the height of the ladder. Find the height of
the ladder.

Answers

Answer:

6cm

Step-by-step explanation:

let height of ladder be x

so if height of ladder is x then the distance from the base of the ladder to the base of the slide is x+2

Assuming this is a right angle triangle, the slide is the longest lenght (c)

so

x²+(x+2)²=10²

x²+x²+4x+4=100

2x²+4x+4=100

2x²+4x+4-100=0

2x²+4x-96=0

2(x²+2x-48)=0

x²+2x-48=0 -- Factor

(x+8)(x-6)=0

x=-8 and x=6

since height cannot be a negative number

height of ladder is 6 cm

The base length is 8 feet. Then the height of the triangle will be 6 feet.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The length of a slide on a swing set is 10 ft.

The distance from the base of the ladder to the base of the slide is 2 ft more than the height of the ladder.

Let x be the length of the height of the triangle. Then the base of the triangle will be (x + 2).

10² = (x + 2)² + x²

100 = x² + 4x + 4 + x²

96 = 2x² + 4x

48 = x² + 2x

0 = x² + 2x - 48

0 = (x - 6)(x + 8)

x = 6, -8

Then the base length is 6 ft. Then the height of the triangle will be

B = x + 2

B = 6 + 2

B  = 8 ft

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Multiply and write in standard form:
(2x + 1)(5x - 2)
Show all work for full credit.

Answers

Answer:

10x^2+x-2

Step-by-step explanation:

(2x+1)(5x-2)

10x^2+5x-4x-2

10x^2+x-2

Two polygons have a similarity ratio of 4:5. If the perimeter of the first one is 10 inches, then what is the perimeter of the second?
Group of answer choices

11 inches

8 inches

12.5 inches

15 inches

Answers

Answer: 12.5 Inches

TRUE OR FALSE

There are whole numbers that are not integers.

All rational numbers are whole numbers.

All integers are whole numbers.

All integers are rational numbers.

Answers

False. All whole numbers are integers.False. For example, 1/2 is a rational number but not a whole number.False. For example, -3 is an integer but not a whole number.True. All integers are included in rational numbers.

Answers:FalseFalseFalseTrue

Hope you could get an idea from here.

Doubt clarification - use comment section.

5) The solution to 7X2 + 2X – 1 = 0 can be written as:

Answers

Answer:

2/7 or -30/7

Step-by-step explanation:

Use the quadratic formula

a = 7, b = 2, c = -1

-2 + or - (sqrt (2^2 - 4 * 7 * -1) / 2 * 7

-2 + or - 32/14

-2 + or -  16/7

2/7, or -30/7

Answer:

Step-by-step explanation:

7x² + 2x - 1 = 0

x = (-2 ±[tex]\sqrt{2^2 - 4(7)(-1)}[/tex] )/ (2(7))

x = (-2 ± [tex]\sqrt{32}[/tex] ) /14

x = (-2 ± 4[tex]\sqrt{2}[/tex] ) /14

x = [tex]\frac{-1}{7}[/tex] ± [tex]\frac{2}{7}[/tex][tex]\sqrt{2}[/tex]

Please help me solve this math problem

Answers

Answer:

 (b)

Step-by-step explanation:

A suitable calculator or spreadsheet can find the matrix product for you. Here, the answer choices differ in their upper left term, so we can determine the correct choice by finding the value of that term. It is the dot product of the first row of B and the first column of A.

  (5)(3) +(7)(3) +(3)(2) = 15 +21 +6 = 42

This matches choice B.

Lena bought 40 tickets to use at a carnival. She used some of the tickets to ride the bumper cars and play some games. Now she has 24 tickets left. What is the percent of decrease in the number of tickets that he has?

a. 66.6
b. 40
c. 60
d. 80

Answers

Answer:

40

Step-by-step explanation:

that's how it is done hope it will help

OMG HELP RN I GIVE BRAINLIST

Which of the following correctly describes the solutions to the inequality?



A.
There are 5 solutions. The solutions are the numbers between 4 and 8.
B.
There are an infinite number of solutions. The solutions are all numbers less than 3.
C.
There are 6 solutions. The solutions are the numbers between -2 and 3.
D.
There are an infinite number of solutions. The solutions are all numbers greater than 3.

Answers

Answer: B

The number 3 isn't included because the point isn't included.

The arrow points to the left, representing any number less than 3 to be a solution.

Inequality: x < 3

One-half of one-seventh of T equals one-third of one-fifth of 90. What is the value of T

Answers

Answer:

Step-by-step explanation:

This is the equation. Read it carefully.

1/2 * 1/7 T = 1/3 * 1/5 * 90   Reduce

(1/14) * T = 1/15 * 90

1/15 * 90 = 6

(1/14)*T = 6                          Multiply both sides by 14

T = 14 * 6

T = 84

2,548 rounded to the nearest hundred

Answers

Answer:

the answer is  2,500

Step-by-step explanation:

any number higher than 5 you round up but any number lower than 5 you round down.

4 is lower than 5 so you round it down and the 5 stays the same, and replace it with 0's.

PLEASE HELP ME THIS IS THE 5TH TIME I HAVE HAD TO POST THIS AND GIVING BRAINLIST TO FIRST ANSWER


B.
C.
D.

Answers

Answer:

C.

Step-by-step explanation:

Which of the following is a proper fraction? A7001/6 B 9/4 C 31/99 D3/2

Answers

Answer:

31/99

Step-by-step explanation:

Becuase the numerator is lesser than the denominator

Answer:

C. 31/99

Step-by-step explanation:

It's C because a proper fraction is a fraction with a numerator that is less that it's denominator in its lowest terms

2 FOR 2.20 UNIT RATE

Answers

Answer: (if your asking for the unit rate of that)

the unit rate is 1.10

Answer:

1.10

Step-by-step explanation:

2 /2 = 1

20/ 2 = 10

1.10 is the unit rate

POINTS AND BRAINLIEST IF YOU GAVE ME THIS CORRECT!!!
To rent a moving truck for the day, it costs, $33 plus $1 for each mile driven.
a. Write an expression for the cost to rent the truck.

b. You drive the truck 300 miles. How much do you pay?

Answers

Answer:

a) x + 33

Step-by-step explanation:

x is the number of miles driven. Therefore, the answer for b is $333

Because it is the miles driven plus 33


Last week, the price of oranges at the farmers market was $1.75 per pound. This week, the price has decreased by 15%. What is the price of
oranges this week?

Answers

Answer:

 11.6 (6 is repeating)

Step-by-step explanation:

1.75 divided by 15% of 75

The approximate average distances from the sun to Mars and Mercury are listed
below:
Mars: 2.28 x 108 kilometers
Mercury: 5.79 x 107 kilometers
How many times farther from the sun is Mars? Write your answer in standard
notation, rounding to the nearest tenth.

Answers

Answer:

  3.9

Step-by-step explanation:

Your calculator will tell you ...

  (2.28×10^8)/(5.79×10^7) ≈ 3.9

Mars is about 3.9 times as far from the sun as Mercury.

f(x)=6(-x+3), what is the value of f(-1)

Answers

Replace x in the equation with -1 and solve:

6(-(-1) + 3)

Simplify the parentheses: 6(1 + 3)

Add inside the parentheses:

6(4)

Multiply

6 x 4 = 24

Answer : 24

x and y simplifying problem. Please explain how to do thiese. I will gove 15 points

Answers

[tex]\dfrac 56 x + \dfrac25 y - \dfrac14 x + \dfrac3{10} y[/tex]

First, combine like terms:

[tex]\left(\dfrac 56 - \dfrac14\right) x + \left(\dfrac25 + \dfrac3{10}\right)y[/tex]

Now just simplify the coefficients of x and y. We do this by converting each pair of fractions to ones with a common denominator. Then we can combine them easily.

[tex]\dfrac56 - \dfrac14 = \dfrac56\cdot\dfrac22 - \dfrac14\cdot\dfrac33 = \dfrac{5\cdot2}{6\cdot2} - \dfrac{1\cdot3}{4\cdot3} = \dfrac{10}{12} - \dfrac3{12} = \dfrac{10-3}{12} = \dfrac7{12}[/tex]

[tex]\dfrac25 + \dfrac3{10} = \dfrac25\cdot\dfrac22 + \dfrac3{10} = \dfrac{2\cdot2}{5\cdot2} + \dfrac3{10} = \dfrac4{10} + \dfrac3{10} = \dfrac{4+3}{10} = \dfrac7{10}[/tex]

So the simplified expression would be

[tex]\dfrac7{12} x + \dfrac7{10} y[/tex]

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