Find the slope of the line. Explain how you know.



Write an equation for the line.



Find the values for a and b. Explain how you know.

Answer:

x = 5 when y = 12

Step-by-step explanation:

If y is inversely proportional to x, we can say that x1 : x2 = y2 : y1

The order of y2 and y1 respectively are interchanged as y is inversely proportional to x

Now let us simply substitute our known values, and solve for x2;

x1 : x2 = y2 : y1

20 : x2 = 12 : 3

20/x2 = 12/3

12(x2) = 3(20)

12(x2) = 60

x2 = 60/12 = 5

Answer: 60

Step-by-step explanation:

All of the sides are equal meaning it is and equal lateral triangle

Answer:

6 days

Step-by-step explanation

2/3 cups x 3 days = 2 cups

2 cups x 2 cups = 4 cups

4 cups = 6 days

Answer:

6

Step-by-step explanation:

1) Get 4 and divide it by 2/3

2) To do this you put the inverse which is 4/1 x 3/2

3) Cross divide, then multiply.

4) (4/1 x 3/2) so 4/2 = 2 which is 2 (and whatever you do to one side, you have to do to the other side) so 2/2 is 1. Then 3/1 = 3 and 1/1 = 1 so it stays same. So now the equation becomes 2/1 x 3/1

5) This means the ones cancel out since in math ones don't have to be seen even though they are there.

6) 2 x 3 = 6

So you get 6

Answer:

that is a negative slope

but dont know how to find the slope sorry

Step-by-step explanation:

[tex]\tt Step-by-step~explanation:[/tex]

Remember: To find the slope, we use the equation Rise/Run.

[tex]\tt Step~1:[/tex]

Let's find the rise first. Rise = How many units it goes up/down We can count down 6 units from the origin. Our rise is - 6.

[tex]\tt Step~2:[/tex]

To find the run. we count left/right. We could count 8 units. Our run is 8.

The slope is negative because it slopes downwards. If the slope is positive, then the line would be rising up.

[tex]\tt Step~3:[/tex]

To find the slope, we use the formula rise/run.

[tex]\tt \frac{-6}{8}=-\frac{3}{4}~or~ -0.75[/tex]

[tex]\large\boxed{\tt Our~final~answer:~m=-\frac{3}{4}~or~-0.75;~Negative~slope}[/tex]

Answer:

b-4.2<-7.5

Step-by-step explanation:

b-4.2<-7.5

this is because the number given as "b" minus 4.2 (as shown on the left) is less than (<) -7.5, so this inequality makes sense.

Answer:

b-4.2<-7.5

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

x is almost always the number in the parentheses. y is always the answer. Hope this helps!

Answer:

7. Yes as far as I know it always is

8. It is possible but not always

9. 159.9 ft

Step-by-step explanation:

Answer:

d) 126

Step-by-step explanation:

I just answered this question and got it right

Answer:

126

Step-by-step explanation:

Got it right on the test.

Answer: For G the answer is x=30, for H x is 30

Step-by-step explanation:

G. The square means 90 degrees and the equation would be 90+3x=180. Subtract 90 from both sides would give you 3x=90 and divide it by 3 would give you x=30

H. The two lines means that both sides are congruent and so 75x2=150 150+x=180 subtract 150 from both sides would give you x=30

Answer:

By looking at the sides. BC is the same as HJ and 3 is half of 6. That goes with the rest of the equation

AC = GJ

AB = HG

So then the change in BCA is Double of GHJ

Answer:

4 :)

Step-by-step explanation:

Answer:

2/5 of the cake

Step-by-step explanation:

First, find how much she gave away:

2/5 + 1/5

= 3/5

Then, to find how much she has left, subtract 3/5 from 1

1 - 3/5

= 2/5

So, she has 2/5 of the cake left for herself

Answer:

Rate = 56 gal / 7 min

         = 8 gal / min

Step-by-step explanation:

Hope this helps leave a heart ad maybe brailiest

Answer:

https://brainly.com/question/11536615

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both angles that have the "x" variable are the same and both angles that the "y" are the same since they are congruent meaning they are the same angle measure.

Solve for x.

6x - 5 = 8x - 50

~Add 5 to both sides

6x = 8x - 45

~Subtract 8 to both sides

-2x = -45

~Divide -2 to both sides

x = 45/2

Solve for y.

2y + 30 = 3y + 20

~Subtract 30 to both sides

2y = 3y - 10

~Subtract 3y to both sides

-y = -10

~Divide -1 to both sides

y = 10

Best of Luck!

Answer:

-9/3

Step-by-step explanation:

Answer:

2nd one 6th one 1st one 4th one 3rd one 5th one

Step-by-step explanation:

Answer:

n = -8

Step-by-step explanation:

Original Equation:

8n + 8 = -56

Subtract 8 from boths sides.

8n = -64

Divide both sides by 8

n = -8

Hope this helped :)

Please consider Brainliest :)

Step-by-step explanation:

its -8

8n + 8 = 56

8n + 8 - 8 = 56 - 8

8=−64

8n/ 8 -= -64

8n / 8 = -64 / 8

simplified = n = - 8

n equals -8

Answer:

The answer is $49.95

Step-by-step explanation:

I Took the quiz :D i hope this helps <3

Answer:

[tex]\frac{x}{5} < -9[/tex]

Step-by-step explanation:

Let x be the number

I hope this helps!

Answer:

1. m∠1 = 45°

2. m∠1 = 129°

3. m∠1 = 37°

4. m∠1 = 88°

m∠2 = 42°

m∠3 = 113°

5. m∠1 = 62°

m∠2 = 45°

m∠3 = 24°

6. m∠1 = 128°

m∠2 = 52°

m∠3 = 47°

m∠4 = 133°

7. m∠1 = 41°

m∠2 = 85°

m∠3 = 95°

m∠4 = 85°

m∠5 = 36°

m∠6 = 50°

m∠7 = 107°

8. x = 9°

10. x = 5°

11. x = 7°

Step-by-step explanation:

1. m∠1 = 180° - (76° + 59°)  = 45°

m∠1 = 45°

2. m∠1 = 62° + 67°  = 129°

m∠1 = 129°

3. m∠1 = 152° - 115° = 37°

m∠1  = 37°

4. m∠2 = 42° (Alternate angles)

m∠1 = 180° - (50° + m∠2) = 180° - (50° + 42°) = 88°

m∠1 = 88°

m∠3 = 180° - (25° + 42°) = 113°

m∠3 = 113°

5. m∠3 = 73° - 49° = 24°

m∠3 = 24°

m∠2 = 118° - 73° = 45°

m∠2 = 45°

m∠1 = 180° - (73° + 45°) = 62°

m∠1 = 62°

6. m∠2 = 52° (Alternate interior angles)

m∠1 = 180° - 52° = 128° (The sum of angles on a straight line)

m∠1 = 128°

m∠3 = 47° (Alternate interior angles)

m∠4 = 180° - 47° = 133° (The sum of angles on a straight line)

m∠4 = 133°

7. m∠3 = 95° (Vertically opposite angles)

m∠2 = m∠4  (Vertically opposite angles)

m∠3 + 95° + m∠2 + m∠4 = 360° (The sum of angles at a point)

2 × 95° + 2 × m∠2 = 360°

m∠2 = (360° - 2 × 95°)/2 = 85°

m∠2 = 85° = m∠4

m∠2 = 85°

m∠4 = 85°

m∠1 = 360° - (85° + 140° + 90°) = 41°

m∠1 = 41°

m∠5 = 180° - 144° = 36°

m∠5 = 36°

m∠6 = 180° - (m∠5 + m∠3) = 180° - (36 + 95°) = 50°

m∠6 = 50°

m∠7 = 360° - (m∠4 - 38° - (180° - m∠6)) = 360° - (85° - 38° - (180° - 50°)) = 107°

m∠7 = 107° (Sum of angles in a quadrilateral)

8. (10·x - 11)° + (3·x - 2)° + (3·x + 1)° = 180°

Using an online application, we have;

(6·x - 12)° = 180°

x = (180 + 12)°/6 = 32°

x = 32°

9. (3·x - 5)° + (7·x + 5)° + 90° = 180°

Using an online application, we have;

10·x = 180° - 90° = 90°

x = 90°/10 = 9°

x = 9°

10. 151° = (11·x - 1)° + (20·x - 3)°

151° = 31·x - 4°

31·x = 151° + 4° = 155°

x = 155°/31 = 5°

x = 5°

11. (14·x - 13)° = (4·x + 13)° + (6·x + 2)°

(14·x - 13)° = (10·x + 15)°

(14·x - 10·x)° = (13 + 15)° = 28°

4·x = 28°

x = 28°/4 = 7°

x = 7°

1. 45°

2. 51°

3. 37°

4. 88°, 42°, 113°

5. 62°, 45°, 24°

6. 128 degrees, 52°,, 47°, 43° 83°

7. I have no clue

8. 12

9. 9

10. 5

11. 7

Answer: 80

Step-by-step explanation:

50+50=100

180-100=80

Answer:

is 80

Step-by-step explanation:

~ p o t a t o ~

Answer:

The coach paid $69 on the three soccer balls

Step-by-step explanation:

If the coach bought 3 soccer balls for 26$, minus the $7 on each, plus the $4 tax on each, the expression would be:

3 × (26 - 7 + 4)

We put the addition and subtraction in parentheses because of PEMDAS. PEMDAS say we must solve for whatever is in the parentheses first, then exponents (there are none in the expression), ans then multiplication. If those numbers were not in parentheses, the answer would look completely different as we would multiply before subtracting and adding. We must find the total amount each ball cost first:

26 - 7 + 4 = 23

Each ball cost $23

If the coach bought 3 balls for $23 each, we have to multiply the two numbers:

3 × $23

$69

Answer:

71º is measure of angle A

19º is measure of angle B

Step-by-step explanation:

complementary angles are angles that equal to 90º 

so let's add the terms (from angles A & B) and set them equal to 90º

3x+2 + x-4 = 90

4x -2 = 90

add 2 to both sides to get rid of the 2 on the left side and isolate our similar terms

4x = 92

divide both sides by 4

x=23

We're not done though, we must plug in our x value to Angle A terms and Angle B terms.

(3(23) + 2)º = measure of Angle A            (solve for both of them)

(23-4)º =  = measure of Angle B

3(23) + 2 =

3(23) = 69 (add the 2)

71º is measure of angle A

23-4 = 19º

19º is measure of angle B

double-check

71+19 = 90º

It works

Answer:

71º is measure of angle A

19º is measure of angle B

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

y₂ - y₁

42 - 21 = 21

x + 21

3 + 21 = 24

So when y increases by 21, so does x.

x = 24

Answer:

20/3

Step-by-step explanation:

Answer:

x = 22.5

Step-by-step explanation:

Step 1: Write equation

2.4(x - 10) = 8 + 1.2x - 5

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

2.4(22.5 - 10) = 8 + 1.2(22.5) - 5

2.4(12.5) = 8 + 27 - 5

30 = 8 + 22

30 = 30

Answer:

x=22.5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2.4(x−10)=8+1.2x−5

(2.4)(x)+(2.4)(−10)=8+1.2x+−5(Distribute)

2.4x+−24=8+1.2x+−5

2.4x−24=(1.2x)+(8+−5)(Combine Like Terms)

2.4x−24=1.2x+3

2.4x−24=1.2x+3

Step 2: Subtract 1.2x from both sides.

2.4x−24−1.2x=1.2x+3−1.2x

1.2x−24=3

Step 3: Add 24 to both sides.

1.2x−24+24=3+24

1.2x=27

Step 4: Divide both sides by 1.2.

1.2x

1.2

=

27

1.2

x=22.5

Answer:

x=22.5

Answer:

Because the graph does not include any negative values for the range, the range is only nonnegative real numbers. Cubic function f(x)- x^3.