The points (-3, -3) and (5, r) lie on a line with slope 3/2
Find the missing coordinate r.

Answers

Answer 1

Answer:

The missing coordinate [tex]r[/tex] is 9.

Step-by-step explanation:

Given the points [tex]P(x,y) = (-3,-3)[/tex] and [tex]Q(x,y) = (5,r)[/tex], the slope of a line passing the two points ([tex]m_{PQ}[/tex]) is determined by equation of secant line:

[tex]m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (1)

[tex]m_{PQ} = \frac{r-(-3)}{5-(-3)}[/tex]

If we know that [tex]m_{PQ} = \frac{3}{2}[/tex], then the value of [tex]r[/tex] is:

[tex]\frac{3}{2} = \frac{r+3}{8}[/tex]

[tex]12 = r + 3[/tex]

[tex]r = 9[/tex]

The missing coordinate [tex]r[/tex] is 9.


Related Questions

Help! If u get it i will mark brainliest!
Triangle QRS is a right triangle. mR = 34° What is mQ? A. 34°, B. 46°, C. 56° D. 66°

Answers

Answer:

c

Step-by-step explanation:

i just did it

Which expression is equivalento = 92 +12) +41 +62
- - -
BT2 = 10
13
32=5
131 - IS
ASAP

Answers

Answer:

i dont understand

Step-by-step explanation:

This is a trigonometry question

Answers

Answer:

y = 8.49

Step-by-step explanation:

cos 45 = 6/y

0.7071 = 6/y

y = 8.49

Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of acres, a, and the bushels of corn, c, the farm produces.
Which equation models the relationship between the independent and dependent variables?

A) a = 45c B) c = 45a C) a = 45 + c D) c = 45 + a

Answers

Answer:

c=45a

Step-by-step explanation:

for the first one it shows 45x1=45. second shows 45x2=90. thats the patter.

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Answers

Answer:

1:5 is the ratio so 1 cow for every 5 sheep, 2 cows for 10 sheep and 3 cows for 15 sheep.

Step-by-step explanation:

Annabelle has 56 1 cm³ what are the dimensions of the rectangle Langer prism Annabelle could build with all the cubes

Answers

Answer:

The six possible rectangular prisms Anabelle could build are;

W = 1,  B = 1,  L = 56

W = 1, B = 2,  L = 28

W = 1,  B = 4,  L = 14

W = 2,  B = 2,  L = 14

W  = 1,  B = 7,  L = 8

W = 2,  B = 4,  L = 7

Step-by-step explanation:

The number 1 cm³ Annabelle has = 56

The dimensions volume of the cubes Annabelle could build with the 1 cm³ = 56 cm³

The volume of rectangular prism, V = L × B × W

∴ For the rectangular prism, V = 56 cm³ = L × B × W

Therefore, the possible dimensions of the prism are three factors of 56, including;

1, 2, 4, 7, 8, 14, 28, 56

The combination of 3 factors of 56 that can be multiplied together to give 56 and therefore, the possible rectangular prisms includes;

  W × L × B = A

1) 1 × 1 × 56 = 56

2) 1 × 2 × 28 = 56

3) 1 × 4 × 14 = 56

4) 2 × 2 × 14 = 56

5) 1 × 7 × 8 = 56

6) 2 × 4 × 7 = 56

There are therefore 6 possible rectangular prisms Annabelle could build

how many pints are in a cup?

Answers

There are 2 cups in a pints

Answer:

0.4 Pints

Step-by-step explanation:

A book is 210 pages long; 140 of the pages have images on them. If Patrick opens the book to a random page, what is the probability that the page will have an image on it?

Answers

Answer: as a ratio it’s 140:210 and as a simplified fraction it’s 2/3. But not simplified it’s still 140/210

Step-by-step explanation:

PLEASE HELPPP
Which is a set of collinear points?

Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J

Answers

Answer:

A g, h, i

Step-by-step explanation

A set of collinear points all lie on the same line

Answer:

sf

Step-by-step explanation:

sf

In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.

Answers

28.1 feet

explaination

\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}

cosU=

hypotenuse

adjacent

=

x

9.6

\cos 70=\frac{9.6}{x}

cos70=

x

9.6

x\cos 70=9.6

xcos70=9.6

Cross multiply.

\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}

cos70

xcos70

=

cos70

9.6

Divide each side by cos 70.

x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}

x=

cos70

9.6

=28.0685≈28.1 feet

Type into calculator and roundto the nearest tenth of a foot.

answer this math question. ill give brainliest.

Answers

Answer: He OLD! XD

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.

.

.

As a manager in a flooring store, you respond to a customer’s inquiry regarding available sizes of square tiles. The customer needs square tiles that measure 1.5 feet on each side. Your store sells square tiles with lengths measured in centimeters. What is the side length, in centimeters, of a square tile that measures 1.5 feet on each side, rounded to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

1.5ft(12in/ft)(2.54cm/in)=45.72cm

A store bought a glass measuring cup at a cost of $1.50 and marked it up 150%. Later on, the store marked it down 80%. What was the discount price?

Answers

Answer:

45 cents

Step-by-step explanation:

1. El perímetro de la figura que se muestra es:

a. 10x2+20y+8
b. 19x2+16y+16
c. 19x2+20y+16
d. 19x2+20y+8

Answers

Answer:

I think is C 19x2+20y+16

Quick prints makes custom t-shirts. They charge $10 for each t-shirt ordered plus a $5 design fee. Which situation best represents y, the total cost to order x t-shirts?

Answers

Answer:

y = 10x+5

Step-by-step explanation:

The price of each T-shirt = $10

Design fee on each T-shirt = $5

We need to find the expression for the total cost. Let the total cost be y. So,

Let he has ordered x T-shirts. So,

y = 10x+5

Hence, this is the required solution.

(-2,19)(10,-11) find the slope

Answers

Answer:

-5/2

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

         [tex]= \frac{-11-19}{10-[-2]}\\\\=\frac{-30}{10+2}\\\\=\frac{-30}{12}\\\\=\frac{-5}{2}[/tex]

What is the measure, in degrees, of angle x?
A
26.8

B
47.8

C
116.8

D
296.8

Answers

The answer is C

Step-by-step explanation:

180-63.2

The answer is C! Have a good day

One of my homework problems say: Solve the proportion. X/4=2/5. I am stuck on this one. It will be appreciated if you explain the steps to complete this problem. Thanks for your help!

Answers

Answer:

1.6

Step-by-step explanation:

Given :

X/4 = 2/5

To solve for X ;

We can use cross multiplication ; multiply opposite values :

X * 5 = 2 * 4

5X = 8

To isolate X ;

Divide both sides by 5

5X/5 = 8/5

X = 8/5

X = 1.6

If the sales price is $600 and the commision is $72 then what is the rate of the commission

Answers

Answer:

I am not a fan but I'm a very good i am a fan and the

Answer:

[tex] \frac{72}{600} \times 100 = 12\%[/tex]

so, the rate is 12% of the sales.

Help! Me with this question

Answers

The answer is B because
12^2+16^2=c^2
144+256=400
Square root of 400 is 20

x = (y/2) - 1
Please help me find the answer.

Answers

Answer:

Step-by-step explanation:

Well you didn't give directions on what to solve for,

I'm gonna assume you want to solve for y

x = (y/2) - 1 (add 1 to both sides)

x + 1 = y/2 (multiply both sides by 2)

2(x + 1) = y (distribute the 2)

y = 2x + 2

I need help figuring out the answer. please help

Answers

Answer:

it' b

Step-by-step explanation:

450 multiply by 5 = 2250

375 multiply by 4 = 1,500

1500+2250 ,=3750

Caleb has driven 820 miles of his road trip. He has 20% of his trip left to go. How many miles does he have left to go? Need asp

Answers

he has 164 miles left

what is a slope of a line between the x-axis and y-axis​

Answers

Answer:

Mercedes, look at the graph i'm attaching... do you see ? what's the slope?

Step-by-step explanation:

Rain is falling steadily at 5.2 millimeter per hour. How much rain fall in 90 minutes?

Answers

Answer:

7.8 ml

Step-by-step explanation:

1 hour = 5.2 ml of rain

90 mins = 1 hours and 30 mins

5.2 / 2 = 2.6

5.2 + 2.6 = 7.8

GEOMETRY. Need help i will give brainliest

Answers

Answer:

x = 10

Step-by-step explanation:

If two tangent segments are drawn to a circle from an external point, then those segments are congruent.

x+11 = 2x+ 1

x = 10

Answer:

x=10

Step-by-step explanation:

x+11=2x+1

x+10=2x

10=2x-x

x=10

Brillianst!!!!!

the lengths of the sides of a triangle are 2n, n^2 and n+5 for what value of n do these lengths not make a triangle ?

Answers

The length , explain that againnnnnnn

Answer:

Step-by-step explanation:

Try n = 2

2n = 4

n^2 = 4

n+5 = 7   That works. It will make a triangle since the 2 smallest numbers are bigger than 7

Try n = 3

2n = 6

n^2 = 9

n + 5 = 8     That works. Same reason as above.

n = 4

2n = 8

n^2 = 16

n + 5 = 9    That works. Same reason.

n = 5

2n = 10

n^2 = 25

n+5 = 10   Aha! That doesn't work. the two smaller numbers only = 20.

There are likely many numbers that don't work. I'll try one more

n = 6

2n = 12

n + 5 = 11

n^2 = 36   This won't work either. Same reason as n = 5.

Apply the Distributive Property to Simplify the Expression
3(36)

Answers

Answer:

108

Step-by-step explanation:

3(36)=3(30+6)=90+18=108

Decrease £843 by 91% rounded to 2 DP

Answers

Answer:

Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

91% = 91/100 = 91 ÷ 100 = 0.91.

100% = 100/100 = 100 ÷ 100 = 1.

Decrease number by 91% of its value.

Percentage decrease = 91% × 843

New value = 843 - Percentage decrease

Calculate the New Value

New value =

843 - Percentage decrease =

843 - (91% × 843) =

843 - 91% × 843 =

(1 - 91%) × 843 =

(100% - 91%) × 843 =

9% × 843 =

9 ÷ 100 × 843 =

9 × 843 ÷ 100 =

7,587 ÷ 100 =

75.87

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 843 =

75.87 - 843 =

- 767.13

Proof.

Calculate percentage decrease:

Percentage decrease =

91% × 843 =

91 ÷ 100 × 843 =

91 × 843 ÷ 100 =

76,713 ÷ 100 =

767.13

Step-by-step explanation:

Hope it is helpful....

√43 is a number between
6 and 7
7 and 8
21 and 22
84 and 88

Answers

6 and 7

the square root of 43 is 6.557
Other Questions
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