Write the equation of the line that passes through each pair of points (-2,0) (-1,-3)

Answer:

It is moved 8 units left and 5 units down

y = [tex]\sqrt[3]{x+8}[/tex] - 5

So vertical translation 5 units down and horizontal translation 8 units left

Answer:

x = 22 degrees

Step-by-step explanation:

Since this is a right angle and both angles added together will equal to 90degrees this means that:

(3x-5) + (x+7) = 90

(first, remove the brackets)

3x-5+x+7 = 90

( add the numbers together and the term x together)

( 3x+x ) + ( -5+7 ) = 90

4x + 2 = 90

(subtract 2 from both sides)

4x = 88

(divide by 4 from both sides)

x = 22

so the measure of x = 22 degrees

Answer:

41

Step-by-step explanation:

Step-by-step explanation:

10 + (5×3) -2(-8)

Do ×/÷ before +/- but if it has () do the number in () before

10 + 15 + 16

= 41

9514 1404 393

Answer:

  7.5 m

Step-by-step explanation:

The cosine relation applies.

  Cos = Adjacent/Hypotenuse

  cos(60°) = (distance to wall)/(15 m)

  distance to wall = (15 m)cos(60°) = (15 m)(1/2) = 7.5 m

The foot of the ladder is 7.5 m from the wall.

Answer:

y = -3

Step-by-step explanation:

The given line is a horizontal line thru -5 on the y-axis.

Your line is parallel to y = -5, hence is also a horizontal line and passes thru (2, -3).  Since -3 is the y-coordinate of that point, y = -3 is the equation of the line you are looking for.

Answer: 5/8 : 5=5/8*1/5=1/8

the answer is 1/8

Step-by-step explanation:

Answer:

(x + 5)^2 = (5 - 3)^2

Step-by-step explanation:

Given the equation;

x^2 + 10x + 22 = 13

We have;

x^2 + 10x = 13 - 22

x^2 + 10x = -9

Adding half of 10 to both sides and completing the square as usual, we have;

(x + 5)^2 = 5^2 + (-9)

(x + 5)^2 = (5 - 3)^2

Answer:

12 in

Step-by-step explanation:

Use Pythagorean theorem

Answer:

The number 8 should be at the right side point 8

Step-by-step explanation:

hope this helps!

7⁴

7 to the fourth power

7•7•7•7

These have the same value.

7^4 is the right ....... . . . . . . . . . .

Answer:

$980.03

Step-by-step explanation:

$800 x 0.07 = $56

($800 + $56) x 0.07 = $59.92

($856 + $59.92) x 0.07 = $64.11

$856 + $59.92 + $64.11 = $980.03

Answer:

Step-by-step explanation:

Answer: tp and rq

Step-by-step explanation:

Answer: -4.1

Step-by-step explanation:

0.4 - 4.5 = -4.1

Answer:

              11x+23

y=    -    --------------

                  10

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have a right triangle, more precisely is a isosceles right triangle, as you have one angle= 45⁰, the other angle is also= 45⁰

In this triangle the hypotenuse, c, is

c=9[tex]\sqrt{2}[/tex]= 12.72

Answer:

x = - 15

Step-by-step explanation:

Given

[tex]\frac{x}{5}[/tex] = 5 + [tex]\frac{x-9}{3}[/tex]

Multiply through by 15 ( the LCM of 5 and 3 ) to clear the fractions

3x = 75 + 5(x - 9) ← distribute and simplify right side

3x = 75 + 5x - 45

3x = 5x + 30 ( subtract 5x from both sides )

- 2x = 30 ( divide both sides by - 2 )

x = - 15

As a check

substitute x = - 15 into the equation and if both sides are equal then it is the solution.

left side = [tex]\frac{-15}{5}[/tex] = - 3

right side = 5 + [tex]\frac{-15-9}{3}[/tex] = 5 + [tex]\frac{-24}{3}[/tex] = 5 - 8 = - 3

Thus x = - 15 is the solution

Answer:

65

Step-by-step explanation:

The area of the triangle ABC is 34.2 square centimeters

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

Answer:

p=-2

Step-by-step explanation:

Start off by adding 3 to both sides:

-6p-3=9

    +3 +3

Now you have this:

-6p=12

Now divide both sides by -6

-6p/-6=12/-6

p=-2

I hope this helps, and have a great day! <3 :)

Answer

-6p - 3 = 9

     + 3 + 3

-6p = 12

 6      6

p = -2

Step-by-step explanation:

kindly use English. i will hep

Answer:

He must pay $129.45 and the total amount due is $3,629.45.

Step-by-step explanation:

I (interest) =P (principal) x R (rate) x T (time)

I=3500x.09x150/365

I=129.45

A (amount due) = P (principal) + I (interest)

A= 3500 + 129.45

A= $3629.45

Step-by-step explanation:

Given

x = 3

Then

2x +1

= 2 * 3 + 1

= 6 + 1

= 7

Hope it will help :)

Answer:

1. The difference of 2 times d minus = 3.

2. 4 added to the difference of d minus 3 = 4.

3. The difference of d minus 3 divided by 2 = 0.

4. The quotient of 12 divided by the

difference of 3 times d minus 3 = 2.

Step-by-step explanation:

Given that d = 3

1) 3 = The difference of 2 times d minus 3.

2*d - 3 =

2*3 - 3 =

6 - 3 = 3

2) 4 = 4 added to the difference of d minus 3.

4 + (d - 3) =

4 + (3 - 3) =

4 + 0 = 4

3) 0 = the difference of d minus 3 divided by 2.

(d - 3)/2 = (3 - 3)/2 = 0/2 = 0

4) 2 = the quotient of 12 divided by the

difference of 3 times d minus 3.

12/(3d - 3) =

12/(3*3 - 3) =

12/(9 - 3) =

12/6 = 2

Answer:

1. The difference of 2 times d minus = 3.2. 4 added to the difference of d minus 3 = 4.3. The difference of d minus 3 divided by 2 = 0.4. The quotient of 12 divided by thedifference of 3 times d minus 3 = 2

Step-by-step explanation:

70 is a composite number because it can be divided by numbers other than one and itself.

Answer:

70 is composite

Step-by-step explanation:

Its last digit is 0. That means it's 100% composite.

Answer:

1) The system of equations are;

y - 2·x = 5

y + x = 38

2) y = 27 World Series championships

x = 11 World Series championships

Step-by-step explanation:

1) The number of World Series championships won by the Yankees = y

The second most-winning team = The St. Louis Cardinals

The number of World Series championships won by the St, Louis Cardinals = x

From the details of the number of World Series won by the Yankees and the St. Louis Cardinals we are given, we can write the following system of equations  to find the number of World Series championships won by the Yankees, 'y', and the number of World Series championships won by the Cardinals, 'x' as follows;

y - 2·x = 5...(1)

y + x = 38...(2)

2) Making 'y' the subject of both equations gives;

For equation (1)

y = 5 + 2·x

For equation (2)

y = 38 - x

Equating both 'y' values gives;

y = 5 + 2·x = 38 - x

2·x + x = 38 - 5

3·x = 33

∴ x = 33/3 = 11

The number of World Series championships won by the St, Louis Cardinals, x = 11 World Series championships

From y = 38 - x, we have;

y = 38 - x

∴ y = 38 - 11 = 27

Therefore, the number of World Series championships won by the Yankees, y = 27 World Series championships

Answer:

The ratio of the number of rotten apples to the total number of apples is 6:35

The ratio of the number of good apples to the number of rotten apples is 35:6

Step-by-step explanation:

If you look at the wording the orders are switched.

Rotten apples: Good apples

Good apples: Rotten apples