Solve the following
equations for r:
9r - 66 = 116 - 4r

Answer:

The equation is;

y = -2x + 1

the answer belonging in the green question mark is -2

Step-by-step explanation:

We start by getting the slope

The slope can be obtained by selecting any two points and applying the slope formula

let us select the points;

(1,-1) and (3,-5)

the slope formula is;

m = (y2-y1)/(x2-x1)

m = (-5-(-1)/(3-1)

m = (-5+1)/2 = -4/2 = -2

The y intercept is the value of y when x = 0

As it can be seen, y = 1 when x = 0

so the equation of the relation is;

y = -2x + 1

Answer:

to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, you have to reverse the operations acting on the variable.

Step-by-step explanation:

Answer: its c

Step-by-step explanation: because when ur graphing the inequality the variable is on the opposite side

(3,1 ) is a solution

X+Y=4

X-Y=2

X=4-y

4-y-y=-2

4-2y=-2

-2y=-2

y=1

X+1=4

X=4-1

X=3

Answer:

y=200x

Step-by-step explanation:

the y intercept is 0 so it does not need to be added

the line rises 200 every time

don´t really know how else to explain hope this helps

Answer:

Image: (-7,3)

Step-by-step explanation:

Reflections In The Coordinate Plane

Reflect over the line y = x:

When reflecting a point across the line y = x, the x-coordinate, and y-coordinate change places.

Thus, the point (3,-7) maps to the point (-7,3) when reflected over y=x.

Answer:

B is ur answer! Divide 8 by 3

Step-by-step explanation:

PEMDAS

Answer:

75 miles

Step-by-step explanation:

If the bird flies for 90 minutes at 50 mph (miles per hour), we need to calculate how many hours 90 minutes is.

One hour is 60 minutes. Our equation will be: 90/60 = 1.5

This mean the bird flies 1.5 hours at 50 mph. To find the distance, we multiply 1.5 by 50.

1.5 × 50 = 75

The bird has flown 75 miles.

Answer:

3/8 because 1/8 is .125 multiply by 3 and u get .375 aka 3/8

Answer:

Please check the explanation.

Step-by-step explanation:

Given

We can determine the area of the rectangular field using the equation

[tex]A=wl[/tex]

where

substituting  l = 240m, and  w = 200m in the formula

[tex]A=wl[/tex]

A = 240 × 200

A = 48000 m²

Given that the cost of digging the field at Rs 10 per m².

Thus,

The cost of digging the field of the area 48000 m² = 10 × 48000

                                                                                     = 480000 Rs

Therefore, the total cost of digging = 480000 Rs

Answer:

5 1/6

Step-by-step explanation:

Rewriting our equation with parts separated

=8+2/4−3−1/3

Solving the whole number parts

8−3=5

Solving the fraction parts

2/4−1/3=?

Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.

LCD = 12

6/12−4/12=2/12

Reducing the fraction part, 2/12,

2/12=1/6

Combining the whole and fraction parts

5+1/6=5 1/6

Answer:

Step 2 is wrong.

It should be 3x – 18 + 4x + 12 – 6x

Explanation:

3(x – 6) + (4x + 12) – 6x →

3x – 18 + 4x + 12 – 6x →

(3x + 4x – 6x) + (-18 + 12) →

x – 6

Answer:

-24

Step-by-step explanation:

5(-3) + -9 =

-15 + -9 =

-24

c

5×-3+-9

15+9=24

i think

Answer:

£2121.80

Step-by-step explanation:

Year 1 -> 2000 + (3% of 2000) = 2000 + (60) = 2060

Year 2 -> 2060 + (3% of 2060) = 2060 + (61.80) = 2121.80

====================================================

Explanation:

The hexagon is broken up into 6 congruent or identical equilateral triangles. If we find the area of one triangle, then we multiply by 6 to get the area of the hexagon.

Going in reverse, we divide the hexagon's area by 6 to get the area of one equilateral triangle

We're told the hexagon has an area of [tex]18\sqrt{3}[/tex] square inches. Divide this by 6 and you should get the result [tex]3\sqrt{3}[/tex]. So each of the six equilateral triangles has area of [tex]3\sqrt{3}[/tex] square inches.

-------------------------------------

Each triangle has a base of [tex]2(\sqrt{3})^{x/12}[/tex] and a height of [tex](\sqrt{3})^{x/6}[/tex]

The x/12 and x/6 are exponents.

Let [tex]b = 2(\sqrt{3})^{x/12}[/tex] and [tex]h = (\sqrt{3})^{x/6}[/tex] be the base and height respectively.

Also, let [tex]A = 3\sqrt{3}[/tex] be the area of the triangle

We can then solve for x like so:

[tex]A = 0.5*b*h\\\\3\sqrt{3} = 0.5*2(\sqrt{3})^{x/12}*(\sqrt{3})^{x/6}\\\\3*3^{1/2} = (\sqrt{3})^{x/12+x/6}\\\\3^1*3^{1/2} = (\sqrt{3})^{x/12+2x/12}\\\\3^{1+1/2} = (\sqrt{3})^{3x/12}\\\\3^{3/2} = (3^{1/2})^{x/4}\\\\3^{3/2} = 3^{(1/2)*(x/4)}\\\\3^{3/2} = 3^{x/8}\\\\[/tex]

Since the bases are equal to 3, this means the exponents must be equal as well (for both sides overall to be equal)

3/2 = x/8

3*8 = 2*x ... cross multiply

24 = 2x

2x = 24

x = 24/2

x = 12

Answer:

B

Step-by-step explanation:

There are a couple of ways you can go about solving this. The first is plotting all of the points and seeing which one makes a straight line. This is a little bit more time consuming but is great if you blank out and forget how to solve it. The faster way to do it is to see which function is decreasing/increase a constant amount between equal intervals. A increases but by a different amount each time. B decreases by 2 each time. C decreases at different intervals each time. And D does not consistently increase or decrease.

Answer: 1) 2

2) 7/10

3) -1/3

Answer:

The first one is (-4,3) The second one is (-1,3)

Answer:

C

Step-by-step explanation:

Answer:

C. 12.2

Step-by-step explanation:

7^2 + 10^ = 49 + 100

Square root of 149 = 12.2

Answer:

The arrow can be broken into a rectangle and a triangle.

And the area of the arrow is 22 ft^2

Step-by-step explanation:

Area of the rectangle:

length • width = 7 • 2 = 14 ft^2

Area of the triangle:

(base • height) / 2

You must add 1 + 2 + 1 in order to get the base which is 4

And to get the height, you must do 11 - 7 = 4 (height)

(4 • 4) / 2 = 8 ft^2

Add both areas together to get the area of the arrow:

14 ft^2 + 8 ft^2 = 22 ft^2

Hope this helps!

Answer:

1 3/20

Step-by-step explanation:

5 3/4 divided by 5

5 3/4 divided by 5/1

5x4+3=23

23/4 divided by 5/1

Keep Change Flip

23/4 x 1/5

23 x 1=23

4   x 5=20

23/20=1 3/20

Answer:

a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.

b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.

Answer:

X=1÷2,Y=32°

Step-by-step explanation:

in right angled traingleRST

<R+<T<S=180(INTERIOR ANGLE OF TRAINGLE)

Y-2+90+60=180(S=60°BEING ONE ANGLE OF EQUILATERAL TRAINGLE)

Y+148=180

Y=180-148=32

NOW,

UT=5X(RT BISECTS TS AND UT EQUALLY)

RU=US(SIDE OF EQUILITERAL TRAINGLE IS EQUAL)

8X+1=UT+TS

8X+1=5X+5X

1=10X-8X

1=2X

X=1/2

Answer:

The slope: -1

The y intercept form: (0,1)

If you want it in equation form: y=-x+1

How it looks when Graph-ed:

Answer: hahahah don't

Step-by-step explanation:

Answer:

I cant see it

Step-by-step explanation:

Answer:

-2(2x+3)

Step-by-step explanation:

Answer:

-2 (2x + 3)

Step-by-step explanation:

We need to use FOIL

Multiply the FIRST terms of each set together

Then the OUTSIDE terms

Then the INSIDE terms

and then the LAST terms

Thus:

[tex]2*2x = 4x[/tex]

[tex]2*3 = 6[/tex]

[tex]-4*3 = -12[/tex]

[tex]-4*2x = -8x[/tex]

So finally we end up with 4x + 6 - 12 - 8x

Simplifying this gives us -4x - 6

We can then factor out -2 from each factor, giving: -2(2x+3)

Hope this helps!