In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.

Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line.

The graph represents which system of inequalities?

y ≤ −3x − 1
y ≤ −x − 4
y > −3x + 1
y ≤ −x − 4
y < 3x − 1
y ≤ −x + 4
y ≤ 3x − 1
y ≥ −x + 4

Answer:

The line is y=1x+8

Step-by-step explanation:

We can use point-slope form of a line to make an equation. Point-slope form is as follows:

y-y₁=m(x-x₁)

**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.

1. Plug in the given info:

y-10=1(x-2)

2. Distribute the 1:

y-10=1x-2

3. Add 10 to both sides:

y=1x+8

Dilation involves changing the size of a shape.

The true statement is that the locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

The given parameters are:

[tex]k =3[/tex] --- the scale factor

[tex]E = (-4,0)[/tex]

[tex]F =(0,2)[/tex]

Multiply the coordinates of point E and F by the scale factor (k), to determine the new coordinates of E and F.

[tex]E' = E \times k[/tex]

[tex]E' = (-4,0) \times 3[/tex]

[tex]E' = (-12,0)[/tex]

[tex]F' = F \times k[/tex]

[tex]F' = (0,2) \times 3[/tex]

[tex]F' = (0,6)[/tex]

Given that line g is represented by points E and F; line g' would be represented by points E' and F'

So, both lines would be parallel.

Hence, the true option is (d)

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

Step-by-step explanation:

Answer:

y - 5 = 6(x - 7)

Step-by-step explanation:

yes

Answer:

[tex]y+1=\frac{6}{11}(x+4)[/tex]

The image below shows proof that the point-slope equation [tex]y+1=\frac{6}{11}(x+4)[/tex] is the correct equation in point-slope form that the line passes through the points (7, 5) and (-4, -1)

Hope this helps! :)

Answer:

Step-by-step explanation:

BE? I don't really know lol

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Think of a car. when you are going 15 miles an hour that means that every hour, you are crossing 15 miles. In this situation the dolphin is going 25 km for every hour. one hour would be 25, two hours would be 50 and so on.

Answer:

96 kilograms

Step-by-step explanation:

32x3=96 just trust me I don'T know how to explain

Answer:

A

Step-by-step explanation:

Angle 3 and angle 6 are congruent because they are alternate interior angles. Angle 3 plus angle 1 is 180 degrees. So you just subtract 123 from 180 (180-123) and you get 57 degrees.

The measure of angle 6 is 57°

The correct answer is an option (A)

"The lines in the same plane that are at equal distance from each other and never meet."

"A line that passes through two lines in the same plane at two distinct points in the geometry. "

"The angles directly opposite to each other when two lines intersect in a plane."

For given question,

Line n and line p are parallel lines and line t is the transversal.

Here, angle 1 and angle 4 are opposite angles.

⇒ ∠1 = ∠4

We have been given that ∠1 = 123°

⇒ ∠4 = 123°

Also, angle 4 and angle 6 are interior angles on the same side of the transversal.

We know that each pair of interior angles on the same side of the transversal is supplementary.

⇒ ∠4 + ∠6 = 180°

⇒ 123° + ∠6 = 180°

⇒ ∠6 = 180° - 123°

⇒ ∠6 = 57°

Therefore, the measure of angle 6 is 57°

The correct answer is an option (A)

Learn more about the angles formed by parallel lines and transversal here:

https://brainly.com/question/16967505

#SPJ2

Answer:

Undefined

Step-by-step explanation:

To show the negative of a square root, a negative sign would have to be placed outside the radical.

Answer:

Step-by-step explanation:

Because √-1 is an imaginary number √-1=i

They are imaginary because there are no same real numbers multiplyed that gives you a negative number

√4 = √2*2 ( +2*+2 =+4)

√4 = √-2*-2 (-2*-2 =+4)

√-1 = √? *? ( what same numbers multiplied gives you negative?...an imaginary one)

Answer:

5 hours for priya   4 of yard mowing and 1 bag moving and they will both earn 42 dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let total shirts be x.

Then, Striped shirts = 1/9x

Remaining Shirts= 8/9x

Therefore, Printed Shirts = 5/8 × 8/9x

= 5/9x

Remaining Shirts

or

Plain Shirts= x - ( 5/9x + 1/9x )

= 3/9x

Acc. to problem,

Plain Shirts=81

Therefore,

3/9x=81

=> x=81×9/3

=> x=27×9=243

Therefore,

Total Shirts= 243

I hope that helps you

Answer: 54

It’s funny how I asked the same question around 10 minutes ago xD People told me it’s 54 so here you go :D

0 solutions.

2(75+8) =5(85+9)

166≠470

Answer:D

Step-by-step explanation:

just took it on edge

Answer:

The answer is d

Step-by-step explanation:

Answer:

$1634*.925=$1511.45

Step-by-step explanation:

100%-7.5%=92.5% / 100 = .925 then multiply by the value of 2007 which is $1634... 1634*.925=1511.45  

Answer:

Altitude - a segment drawn from the vertex perpendicular to the other side (also called the height).

Answer:

-3.25 or -3 1/4

Step-by-step explanation:

-3.75

+ .5

_______

Answer: 2/5 liters

Step-by-step explanation: This is because you need to add 1/10 and 3/10. The answer is 4/10, which can be simplified to 2/5.

Answer:

5

Step-by-step explanation:

To find the slope we will use the slope formula:

[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]

They give us the points of (0,1) and (-2,-9) in the equation. Let's label each thing to fit the equation:

y2 = -9

y1 = 1

x2 = -2

x1 = 0

Now, plug it all in to the equation:

[tex]\frac{-9-1}{-2-0} = \frac{-10}{-2} = 5[/tex]

Therefore, the slope is 5.

I hope this helps!!

- Kay :)

Answer:

x = 4/7

y = 60/7

Step-by-step explanation:

3x + 4y = 36

y = x + 8

Substitute the second equation into the first since it already has the y isolated for you:

3x + 4(x + 8) = 36

3x + 4x + 32 = 36

7x = 4

x = 4/7

Take the answer you got from the equation above and plug that into the second equation:

y = 4/7 + 8

y = 60/7

To check just LS/RS both equations:

3(4/7) + 4(60/7) = 36

12/7 = 240/7 = 36

252/7 = 36

36 = 36

LS = RS

60/7 = 4/7 + 8

60/7 = 60/7

LS = RS

Answer:

x = 40

Step-by-step explanation:

The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:

[tex] \frac{24}{24 - 15} = \frac{x}{x - 25} [/tex]

[tex] \frac{24}{9} = \frac{x}{x - 25} [/tex]

Cross multiply

[tex] 24(x - 25) = 9(x) [/tex]

[tex] 24x - 600 = 9x [/tex]

Subtract 24x from each side

[tex] - 600 = 9x - 24x [/tex]

[tex] - 600 = -15x [/tex]

Divide both sides by -15

[tex] 40 = x [/tex]

x = 40

Answer:

Step-by-step explanation:​

The general equation of a circle is expressed as;

(x-a)² + (y - b)² = r² where;

(a, b) is the centre of the circle

r is the radius

Given

Centre (-8, 9) where a = -8, b = 9

radius r = 10

Substitute into the formula to get the required equation;

(x-(-8))² + (y - 9)² = 10²

(x+8))² + (y - 9)² = 10²

(x+8)² + (y - 9)² = 100

Hence the required equation is (x+8)² + (y - 9)² = 100

Answer:

Step-by-step explanation:

perimeter = add up all sides

                = 8 + 15 + 17

                = 40 units

see image below

Answer:

8/12

Step-by-step explanation:

Answer:

[tex]425\geq x[/tex]

425 pounds or less can be added after the student and football player.

Step-by-step explanation:

let x = remaining weight

(note that >/= is greater than or equal to.)

800 - 280 - 95 >/= x

425 >/= x