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

Answers

Answer 1

Answer: r = 1

Step-by-step explanation:

The slope of a line can be represented as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].  Plugging in the following values would provide you with:

[tex]\frac{(r)-(-5)}{(5)-(2)} =2[/tex]

[tex]\frac{r + 5}{3} = 2[/tex]

[tex]r + 5 = 6[/tex]

[tex]r = 1[/tex]

Hope it helps :) and let me know if you want me to elaborate on anything.


Related Questions

4) The original value of a painting is $9,000 and the value increases by 7% each year. In what year,
will the painting be worth $50,000? Show all work.

Answers

Answer:

The year will be 5 years from the starting year

Step-by-step explanation:

because if you add 7% by 9,000 until you get 50,000 just count how many times you added

I need help please each number has its own equation number it off please

Answers

1) 22 is less than or equal to 5x-3
2) x/8 -5 > -6/10
3) 2+x is greater or equal to 12x4

PLEASE HELP FAST!!!!!
1. Which number has a real component of 16 and an imaginary component of 10?
A: 16 + 10i
B: 10+ 16i
C: 16 - 10i
D: 10 - 16i

Answers

Answer:

A: 16 + 10i

Step-by-step explanation:

The numbers are in the form of:

a + bi, where a - real component, b - imaginary component

When a = 16, b = 10 the number is:

16 + 10i

Correct choice is A

How to solve it out?

Answers

Step-by-step explanation:

the sum of the interior angles of a polygon (a closed object with n edges) is always (n-2)×180°.

we have here 5 edges, so the sum of all 5 angles is

(5-2)×180 = 3×180 = 540°.

now, let's simply calculate

5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 + 10x - 3 = 540

43x - 62 = 540

43x = 602

x = 14

therefore,

angle S = 13x - 31 = 13×14 - 31 = 182 - 31= 151°

The ratio of dogs to cats is 25:75. How many cats are there if there are 75 dogs?​

Answers

Answer:

225

Step-by-step explanation:

25:75=75:?

25*3 is 75, so 75*3 is ?

75*3 is 225

Hope this helps!

Let me know if it does

Answer: 225 cats

Step-by-step explanation:

25 dogs x 3: 75 cats x 3

75 dogs: 225 cats

PLS HELP!!
IM GIVING BRAINLIEST!!!
No stealing points, no links, only correct answers!!!!!

Answers

The answer is D

I know because I compared the graph of f(x) to the graph of the equation that answer D gave. What I got is shown in the image. (Blue line is g(x) and red line is f(x))

4.875 = d - 2.125

what do I do here?​

Answers

Answer:

d=7

Step-by-step explanation:

7-2.125= 4.875

7 is your answer as it balances both sides of the equation.

i got seven by adding 2.125. to 4.875

Answer:

Step-by-step explanation:

1. add 2.125 to both sides of your equation

4.875 = d - 2.125

+2.125        +2.125

7 = d

The d is now isolated which allows us to see the answer is 7 for d

please help me with this question!!

Answers

Answer:

\(x = 1\)

Step-by-step explanation:

Based on the given conditions, formulate: \(x = 12 \div 12\)

Cross out the common factor:\(x = 1\)

Answer: \(x = 1\)

What type of angle is 19 degrees

Answers

Answer:

Obtuse Angle

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

Find the quarter point of y=1/2sin(2x+π)

Answers

Answer:

32

Step-by-step explanation:

y = 1/2sin[2(x + π/2)]. Now you can read that the graph is shifted from its standard starting position at (0, 0) left by π/2 and the period ...

anyone know this??? please help, help!!! thanks!

Answers

Answer:

c. -19

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given a polynomial in standard form

The leading coefficient is the coefficient of the variable with the largest exponent.

The term with the largest exponent of the variable is

[tex]\frac{1}{4}[/tex] [tex]x^{5}[/tex]

Then the leading coefficient is [tex]\frac{1}{4}[/tex] → A

Graph the line with the slope of -4 and passing through ( 3, 5 ).​

Answers

Answer:

See graph below of the line y - 5 = - 4 (x - 3) OR  y = -4 x + 17    

Step-by-step explanation:

We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.

Equation of the Line

y - 5 = - 4 (x - 3)

Finding x and y-intercepts

y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)

since y - 5 = - 4 (x - 3)

         y - 5 = -4 x + 12

              y = -4 x + 17    

            ∴ point of the y-intercept is (0, 17)

x-intercept occurs when y = 0

 y = -4 x + 17  

 0 = -4 x + 17

-17 = -4x

   x = ¹⁷/₄

            ∴ point of the x-intercept is (¹⁷/₄, 0)

Graph the line

We can now plug in the points and draw the line.

See the example below.

Note: You only need two points to graph the line. I just did a third as a check.


If a = 7 and b = 2, find the value of
a) a - b
b) 2a + 3b
c) 2ab
d) (a - b)^2

Answers

Answer:

(1) 5

(2) 20

(3) 28

(4) 25

Step-by-step explanation:

(1)

Substitute: 7 - 2

Calculate the sum or difference:

Answer: 5

(2)

Substitute: 2 × 7 + 3 × 2

Calculate the product or quotient: 14 + 6

Calculate the sum or difference: 20

Answer: 20

(3)

Substitute: 2 × 7 × 2

Calculate the product or quotient: 28

Answer: 28

(4)

Substitute: (7 - 2) ²

Calculate the sum or difference: 5²

Calculate the power: 25

Answer: 25

Answer:

Step-by-step explanation:

7-2=5

2×7+3×2=20

2×7×2=28

(7-2)^2

7-2=5

5^2=25

The length of a rectangle is 20cm longer than its width.
The area of the rectangle is 1000cm?
Find the width and length of the rectangle.
Give your answers in surd form.

Answers

[tex]\text{Width} ~= w ~ cm \\\\ \text{Length}~,l = (20+ w) ~ cm \\\\\text{Area of rectangle} = 1000 cm^2\\\\\\\text{Now,}\\\\l \cdot w = 1000\\\\\implies (20 + w) w= 1000\\\\\implies w^2 +20w -1000=0\\\\\\\implies w = \dfrac{-20 \pm \sqrt{20^2 - 4 \cdot 1 \cdot (-1000)}}{2 \cdot 1}\\\\\\\implies w = \dfrac{-20 \pm \sqrt{4400}}{2}= \dfrac{-20\pm 20\sqrt{11}}2 = -10 \pm 10\sqrt{11}\\\\\text{Width cannot be negative so,} \\\\w= -10+10\sqrt{11}=10\left(\sqrt{11} - 1 \right) ~ cm\\\\[/tex]

[tex]\text{And length,}[/tex]

[tex]l= 20+ 10\left(\sqrt{11} - 1} \right) = 20 + 10\sqrt{11} - 10 = 10 + 10\sqrt{11} = 10 \left(1+ \sqrt{11} \right)~ cm[/tex]

I just want to double check if I did this right

Answers

Yea, it’s right! Great job!

One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.

Angle GAF = 105°. Work out the value of n. ​

Answers

Answer:

n = 8.

Step-by-step explanation:

The interior angle of a regular hexagon = 120 degrees.

So m < GAB = 360 - 120 - 105

= 135 degrees so the regular polygon has a total of 135n degrees.

Using the formula for the sum of interior angles of a polygon,

For the polygon with n sides:

Sum of interior angles = 180(n - 2)

135n = 180(n - 2)

135n = 180n - 360

45n = 360

n = 360/45 = 8.

6x + 2(5x-6) distributive property

Answers

Answer:

16x - 12

Step-by-step explanation:

6x + 2(5x - 6)

then 2 * 5 = 10x

then 2 * (-6) = -12

that will be 10x - 12

then you have 6x + 10x -12

combine the like terms which are 6x and 10x

then 16x - 12

The solution of the equation will be (16x - 12).

What is Distributive property?

By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.

The expression is given as;

6x + 2(5x - 6)

Now,

Apply distributive property we can solve the equation as;

6x + 2(5x - 6)

6x + 2 × 5x - 2 × 6

6x + 10x - 12

16x - 12

Thus, The solution of the equation will be (16x - 12).

Learn more about the distributive property visit:

https://brainly.com/question/16374277

#SPJ5

If f(1)=3f(1)=3 and f(n)=f(n-1)^2-3f(n)=f(n−1) 2 −3 whatsthe value of f(4)f(4)

Answers

Answer:

Step-by-step explanation:

So you can do that for me and you have a lot to say I don’t want you have a lot

The denominator of a fraction is 8 more than its numerator. If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2. Find the fraction

pleases help as soon as possible..thank you so much

Answers

Answer:

The fraction is 13/21.

Step-by-step explanation:

The denominator of a fraction is 8 more than its numerator.

Let x be the numerator: x

So the denominator is: x + 8

[tex]\frac{x}{x + 8}[/tex]

If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2.

It will become:

[tex]\frac{x - 1}{x + 8 + 3} = \frac{1}{2}[/tex]

[tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex]

Now, by using cross multiplication, multiply (x - 1) by 2 and (x+11) by 1.

It will become:

2x - 2 = x + 11

Now transpose and combine the same values. Make sure to change the integer sign. If the integer is positive, change it to negative when you transpose it.

2x - x = 11 + 2

x = 13

So the value of x is 13. Now to check if it is correct. Go back to the equation([tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex])

Put the value of x in it.

[tex]\frac{13-1}{13+11} = \frac{1}{2}[/tex]

[tex]\frac{12}{24} = \frac{1}{2}[/tex]

12/24 is equivalent to 1/2 so that is correct.

Now, to find the main fraction. Go back to the original equation which is;

([tex]\frac{x}{x + 8}[/tex])

Put the value of x.

[tex]\frac{13}{8 + 13}[/tex]

= 13/21

Not a verified expert but I put much effort to answer your question. Hope it helps:)

hey ty if you can answer ​

Answers

Answer:

c (I think it is c, but I am not a 100% sure)

Step-by-step explanation:

x and y have to be same

Have a nice day! :-)

Answer:

  a.  ∞, -∞

Step-by-step explanation:

The line has negative slope, so the sign of the end value of y will be the opposite of the sign of the end value of x.

  x → -∞,  y → ∞ . . . . . off the top of the graph as x goes to the left

  x → ∞, y → -∞ . . . . . . off the bottom of the graph as x goes to the right

The end behavior is summarized as ...

  ∞, -∞ . . . . . matches choice A

Find the area! Explain all thinking!! Thank you! <3

Answers

Answer:

80

Step-by-step explanation:

you can divide the shape into a square and a rectangle, the square being the 7 by 10 area. by that logic, you can find the area of that portion to be 70. now you have the cut off rectangle to find, and you know one side is 2. to find the other side, you have to subtract 7 from 12 because by doing that you get the value of just that portion of the side. by doing that you get 5. going from there, you can multiply 2 by 5 to get 10 for the area of the rectangle. now you have to add 70 and 10, and you get 80!

hope this helped :D

the answer is 80 because of the rule of congruent shapes pls make me brainliest as i need one more to move up hope this helps and have a great day :)


A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road?

Answers

Answer:

  0

Step-by-step explanation:

The slope of D street on this graph is "undefined." A perpendicular will have a slope that is zero. That is, D is a vertical line on the map, so the perpendicular will be a horizontal line.

The slope of the new road should be zero.

answer it its a easy pionts no links or ill report u and u will not get brianly anymore pease answer it plsssss​

Answers

Answer:

8:112 third blank put 14

Find the measure of angle b.
51
39
129
141

Answers

Answer:

b = 39

Step-by-step explanation:

To complete the full circle would need 360°

So, the equation is:

b + 28 + 293 = 360

b + 321 = 360

b = 360 - 321

b = 39

Blue10
Brown15
Green5
Red10
Yellow12

The table shows how many of each color candy came out of a bag. What is the probability of choosing a brown candy?

Answers

15/52 is the probability

if sinA=1/2 then find sinA +cos A

Answers

Step-by-step explanation:

Given sinA – cosA = 1/2 squaring on both the sides, we get (sinA – cosA)2 = (1/2)2 ⇒ sin2A + cos2A – 2sinA cosA = 1/4 ⇒ 1 – 2sinA cosA = 1/4 ⇒ 1 – (1/4) = 2sinA cosA ⇒ 2sinA cosA = 3/4 ∴ sinA cosA = 3/8  → (1) (sinA + cosA)2 = (sinA – cosA)2 + 4sinA cosA                         = (1/2)2 + 4(3/8)                         = (1/4) + (3/2) = 7/4 (sinA + cosA) = √(7/4) = (√7)/2 .

Given that,

[tex]\sin A = \dfrac 12\\\\ \implies \sin^2 A = \dfrac 14\\\\\ \implies 1-\cos^2 A = \dfrac 14\\\\\ \implies \cos^2 A = 1 - \dfrac 14 = \dfrac 34\\\\\ \implies \cos A = \pm \dfrac{\sqrt 3}2\\\\\text{Case 1:}\\\\\sin A + \cos A = \dfrac 12 + \dfrac{\sqrt 3}2 = \dfrac{1 + \sqrt 3}2\\\\\text{Case 2:}\\\\\sin A + \cos A = \dfrac 12 +\left(- \dfrac{\sqrt 3}2\right) = \dfrac 12 - \dfrac{\sqrt 3}2=\dfrac{1 - \sqrt 3}2[/tex]

Which properly illustrated in the statement (-2)(+5) = (+5)(-2)?

Answers

Answer: 7

Step-by-step explanation:

it is trust me.

Elian, a dishwasher in a restaurant, stacks clean dishes on shelves that can hold up to 12 dishes. Each of these shelves holds 4 stacks of dishes each. How many dishes can he fit onto 6 shelves?

Answers

Answer:

i think seventy two......72

Tell 3 numbers that are less than 2 and greater than −1.

Answers

Answer:

0 and 1 and -2 and -3

Step-by-step explanation:

Do they have to be whole numbers?
If not, then 0, 1, and 1.75.

Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.

*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

  A) $3100

  B) $6700

Step-by-step explanation:

A)

The first table entry is the value of the opening balance of Caroline's account.

$3100 was in Caroline's account when it was opened.

__

B)

After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...

  24 × monthly deposit + initial balance

  = 24 × $150 + $3100 = $3600 +3100 = $6700

Caroline would have saved $6700 after 2 years.

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