Lines d, e, and f are parallel. That means they have the same slope. Each of these lines has a slope of −3. Enter numbers to complete an equation for each line. On a coordinate plane, lines d, e, and f are parallel. Line d goes through (0, negative 3) and (negative 1, 0). Line e goes through (negative 1, 2) and (0, negative 2). Line f goes through (0, 2) and (1, negative 1). CLEAR CHECK Equation for line d: y=−3x − Equation for line e: y = x − Equation for line f: y = x +

Answer:

x = 10

Step-by-step explanation:

First square both sides of the equation...

[tex]2\sqrt{x + 8} = 3\sqrt{x - 2} \\(2\sqrt{x + 8})^{2} = (3\sqrt{x - 2})^{2} \\ 4(x + 8) = 9(x - 2)\\4x + 32 = 9x - 18\\-5x = -50\\x = 10[/tex]

Answer:

3.39

Step-by-step explanation:

Answer:

answer is 6x^2+17x+12

Step-by-step explanation:

3x(2x+3)+4(2x+3)=6x^2+9x+8x+12=6x^2+17x+12

Answer: $4.99

Step-by-step explanation:

The amount that Savannah paid for the 3 pairs of socks will be gotten by subtracting $5.03 from $20 which will be:

= $20 - $5.03

= $14.97

Since each paid of socks cost thesame amount, the cost of each pair of socks will be:

= $14.97/3

= $4.99

Each pair of socks cost $4.99

Answer: 143

Step-by-step explanation: hope this helps :)

Answer:

29

Step-by-step explanation:

5-(4*(6-12))=29

Answer:

La respuesta es 29, espero que esto ayude.

Answer:

52 cm²

Step-by-step explanation:

First, we find the area of the bottom rectangle. We see it's 4 high and 10 wide, so 4x10 is 40. Then, we see that the small figure in the top right has a height of 4 and width of 3, so 4x3 = 12, add those and you get 52.

Answer:

Shop B has a better value for their baked beans.

Step-by-step explanation:

Shop A:

5 kg = 5.65

1 kg = 5.65 / 5

= 1.13 pence

Shop B:

2 kg = 2.02

1 kg = 2.02 / 2

= 1.01 pence

Answer:

The answer is 12

Hope it helps

Answer:

x = 12

Step-by-step explanation:

Since the 2 legs and base angles are congruent the triangle is isosceles.

The line from the vertex to the base is a perpendicular bisector dividing the triangle into  2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles with legs 3 and [tex]\frac{1}{2}[/tex] x , hypotenuse [tex]\sqrt{45}[/tex] , then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides ²)

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Answer: 9π/20 radians  

How to: Convert from degrees to radians using the ratio π/180 .

Have a great day !

Answer:

4a-3b+a-2b

5a-3b-2b

5a-3b-2b

5a-5b

solution: 5a-5b

Answer:

[tex]radius = \sqrt{ {15}^{2} + {36}^{2} } = 39 \\ area = 4 \times {39}^{2} \times \pi = 19103.76[/tex]

Diagrammatic representation of the summarized box plot is attached below :

Answer:

Range = 20

Median = 8

Step-by-step explanation:

The median value of a box plot is obtained at the point where a vertical line divides the box into two parts. In the boxplot Given the median of the representation is 8. This is the point where the vertical line divides the box.

The range of the distribution is the difference between the maximum and minimum value :

Minimum (starting point of whisker) = 5

Maximum (end point of whisker) = 25

Range = 25 - 5 = 20

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

Work Shown:

A = area of the rectangle

A = length*width

A = 16*17

A = 272 sq ft

B = area of triangle

B = base*height/2

B = 16*8/2    ..... note that 17-9 = 8

B = 16*4

B = 64 sq ft

C = area of shaded trapezoid

C = A - B

C = 272 - 64

C = 208 sq ft

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

Alternative Method:

Apply the trapezoid area formula

b1 = 17 and b2 = 9 are the parallel bases

h = 16 is the height perpendicular to either base

A = h*(b1+b2)/2

A = 16*(17+9)/2

A = 16*(26)/2

A = 16*13

A = 208 sq ft

Answer:

Step-by-step explanation:

on the dive boat deck :)

The midpoints of a rectangle always form parallelogram.

Answer:

215 cm^2

Step-by-step explanation:

Area for triangles: 1/2(b)(h)

Area for parallelograms: (b)(h)

18 - 6 - 5 = 7

20 - 10 = 10

1/2(7)(10)

1/2(70)

35

18(10)

180

180 + 35 = 215

Thank you for the Points but please stop taking answers from people who need help... Its not very kind

Answer: 4,218,750

Step by explanation:

Zeros:

x = -2

x = 6

Smaller zero: -2

Answer:

He is wrong because for the last part of foil he multiplies 3 times 3 and got 6 instead of 9.

Answer:

B) [tex]\frac{15}{4}[/tex]

Step-by-step explanation:

Area of a rectangle formula:

A = bh

Given:

b = [tex]2\frac{1}{2}[/tex]

h = [tex]1\frac{1}{2}[/tex]

Work:

A = bh

A = [tex](2\frac{1}{2} )(1\frac{1}{2} )[/tex]

A = [tex]\frac{15}{4}[/tex]

Answer:

24 meters

Step-by-step explanation:

First we need to show width and length as variables.

let width of garden 1 = W

let length of garden 1 = L

let width of garden 2 = w

let length of garden 2 = l

Now make equations that are explained in the question

L = 2W

l = L

w = W + 4

l × w = 120

Now with that we can find l and w.

Now by looking at the factors of 120, find the factors that work throughout the question.

That is 12 and 10.

l=12

w=10

This means that...

L=12

W=6

Now the answer is 24 meters

Answer:

12m

Step-by-step explanation:

just took the test

Answer:

The height of the triangle could be found by the Pythagoras theorem, where the result is, with the data of the exercise:

And the area of the triangle is:

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the Pythagoras theorem, which is:

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

Now, we can replace the values in the formula obtained:

Now, as we just need the adjacent leg, we take the square root of both sides:

Now, with these data, we can find the area of the triangle with the next formula:

As the image does not contain units, it would be simply this number, however, you should know that the area units are usually given squared, for example: in^2 or ft^2.

Answer:

x = -1

Step-by-step explanation:

Answer:

That is not a circle; it has no y term

My guess:

center = (h, k) = (-4, 2)

r = √4 = 2

Step-by-step explanation:

If I had to guess what you intended:

(x  + 4)² + (y - 2)² = 4

The standard equation for a circle is

(x - h)² + (y - k)² = r²

(h, k) is the center and r is the radius

center = (h, k) = (-4, 2)

r = √4 = 2

Answer:

0.11314

Step-by-step explanation:

The Long John Silver's restaurant parameters are;

The mean time spent at the window, μ = 59.3

The standard deviation, σ = 13.1

The time distribution is skewed right

The number of cars in the sample, n = 40 cars

The mean time spent at the window with the delivery system, [tex]\overline x[/tex] = 56.8 seconds

The Z-value for a mean time of 56.8 seconds is given as follows;

[tex]Z=\dfrac{\bar{x}-\mu }{\dfrac{\sigma }{\sqrt{n}}}[/tex]

Therefore, we get;

[tex]Z=\dfrac{56.8-59.3 }{\dfrac{13.1 }{\sqrt{40}}} \approx -1.20697620617[/tex]

Therefore, the z-value ≈ -1.21

From the normal probability table, we have;

P([tex]\overline X[/tex] ≤ 56.8) = P(Z < -1.21) = 0.11314

The probability of obtaining a sample mean of 56.8 second or less, assuming that the population mean is 59.3 seconds P([tex]\overline X[/tex] ≤ 56.8) = 0.11314.

Answer:

Parallel: a and b, p and q, p and r, q and r

PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b

Step-by-step explanation:

Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.

Perpendicular lines cross at a 90 degree angle.

Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle

Answer:

Parallel lines are equally spaced out in the same direction so it would be p,q, and r, Purpendicular Lines intersect at a 90 degee angle so it would be q and a, q and b, r and b, and r, and so on

Step-by-step explanation:

Answer:

he made a good choice, the width is: 4 inches

Step-by-step explanation:

12 x 8 x _4_ = 384