Which graph shows the solution to the system of linear inequalities below?

The right answer is 12x^2+18x+6

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] \boxed{12 {x}^{2} + 18x + 6} [/tex]

Step-by-step explanation:

[tex] = > (4x + 2)(3x + 3) \\ \\ = > 4x(3x + 3) + 2(3x + 3) \\ \\ = > (4x \times 3x) + (4x \times 3) + (2 \times 3x) + (2 \times 3) \\ \\ = > 12 {x}^{2} + 12x + 6x + 6 \\ \\ = > 12 {x}^{2} + 18x + 6[/tex]

Answer:

Step-by-step explanation:

Let the point P is at the origin (0, 0).

Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.

Rule for the dilation of a point by a scale factor = k

(x, y) → (kx, ky)

If k = [tex]\frac{1}{2}[/tex]

Then, A(8, 4) → A'(4, 2)

          B(-2, 2) → B'(-1, 1)

         C(4, -4) → C'(2, -2)

Now we can plot the new image with points A', B' and C'

Following are calculation to the given points:

Given:

[tex]\Delta ABC[/tex] under a dilation whose center is P

scale factor [tex]= \frac{1}{2}[/tex]

To find:

points=?

Solution:

In the given question we assume that the origin at the point [tex]P(0, 0)[/tex].

therefore the coordinates of [tex]A, B, \ and \ C[/tex] would then be [tex](8, 4), (-2, 2), \ and\ (4, -4)[/tex] respectively.

Scale factor dilatation rule[tex]= k[/tex]

[tex](x, y) \to (kx, ky)[/tex]

If [tex]k = \frac{1}{2}[/tex]

Then,

[tex]A(8, 4) \to A'(4, 2)\\\\B(-2, 2) \to B'(-1, 1)\\\\C(4, -4) \to C'(2, -2)\\\\[/tex]

We can now draw a new picture with the points [tex]A', B', \ and\ C'[/tex], please find the attached file.

Learn more:

brainly.com/question/16967942

Answer:

x=-5, y=2

Step-by-step explanation:

[tex]y=3x+17\\\\4x-3y=-26[/tex]

With substitution, you can replace y in the second equation with 3x+17, since you know they are equal.

[tex]4x-3(3x+17)=-26 \\\\4x-9x-51=-26\\\\-5x=25\\\\x=-5\\\\y=3(-5)+17=-15+17=2[/tex]

Hope this helps!

Answer:[tex]288\pi\ cm^3[/tex]

Step-by-step explanation:

Given

Diameter of cylinder is [tex]d=8\ cm[/tex]

So, radius [tex]r=\frac{d}{2}=4\ cm[/tex]

height of cylinder [tex]h=18\ cm[/tex]

Volume of cylinder is given by

[tex]V=\pi r^2h[/tex]

[tex]V=\pi (4)^2\times 18[/tex]

[tex]V=\pi 16\times 18[/tex]

[tex]V=288\pi\ cm^3[/tex]

So, volume of cylinder is [tex]288\pi\ cm^3[/tex]

Answer:

288π cm cubed

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Sorry for the late response but the previous 2 answers lacked an explanation.

The sample space of an experiment / trial is the range of all outcomes from that experiment / trial. In this case, the trial is spinning the spinner. You might think that the answer is D because those are all of the possible outcomes you might get when spinning the spinner, however, some of the outcomes are repeated. In a sample space, each element of the sample space set is different, therefore, the answer is {1, 2, 3, 4} which is A.

The scale factor which segment AB was dilated by is 4

The graph that completes the question is added as an attachment

From the attached graph, we have the following coordinates

A = (0, 2)

B = (2, 3)

The coordinates of the image of dilation are given as:

A' = (0, 8)

B' = (8, 12)

Divide the coordinates of A' by A

So, we have:

Scale factor = A'/A

This gives

Scale factor = (0, 8)/(0, 2)

Evaluate the quotient

Scale factor = 4

Hence, the scale factor which segment AB was dilated by is 4

Read more about dilation at:

https://brainly.com/question/3457976

#SPJ1

Answer:

see below

Step-by-step explanation:

10x +8 = 3(x-2)

Distribute

10x +8 = 3x-6

Subtract 3x from each side

10x+8-3x = 3x-6-3x

7x +8 = -6

Subtract 8 from each side

7x+8-8 = -6-8

7x = -14

Divide each side by 7

7x/7 = -14/7

x = -2

Answer:

10x + 8 = 3x - 6, 7x = -14

Step-by-step explanation:

10x + 8 = 3 ( x - 2 ) = 10x + 8 = 3x - 6

subtract 8 from both sides of the equation: 10x + 8 = 3x - 6

10x + 8 - 8 = 3x - 6 - 8

simplify

10x = 3x - 14

subtract 3x from both sides

10x - 3x = 3x - 14 - 3x

simplify

7x =  -14

divide both sides by 2

7x / 2 = -14 / 2

simplify

x = -2

Answer:

69.5 = c

Step-by-step explanation:

35 ^2 + 60 ^2 = c^2

1225 + 3600 = c ^2

[tex]\sqrt{4825}[/tex] = [tex]\sqrt{c^{2} }[/tex]

69.5 = c

Answer:

35 inches

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)

We know the perimeter and the length

84= 2 ( l+7)

Divide each side by 2

84/2 = 2/2 (l+7)

42 = (l+7)

Subtract 7 from each side

42-7 = l+7-7

35 = l

The length is 35 inches

Answer:

[tex]l = 35 \: \: inches[/tex]

Step-by-step explanation:

[tex]perimeter \\84 = w + w + l + l \\ 84 = 7 + 7 + 2l \\ 84 = 14 + 2l \\ 84 - 14 = 2l \\ 70 = 2l \\ \frac{70}{2} = \frac{2l}{2} \\ l = 35 \: \: inches[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

I don't say u have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

Answer:

36 b^2 = 36 bb

Step-by-step explanation:

(6b)^2

This means multiply what is inside the parentheses by itself

(6b) * 6b

36 b^2

36 b*b

Answer:

y= -x+5

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the value of m first.

The product of the gradients of 2 perpendicular line is -1.

Given line: y= x -10

Gradient of given line= 1

m(1)= -1

m= -1

y= -x+c

To find c, substitute a coordinate.

when y= -5, x=10,

-5= -10 +c

c= 10-5 (+10 on both sides)

c=5 (simplify)

Thus, the equation is y= -x +5.

Answer:

64°, 52°

Step-by-step explanation:

Answer:

A:870         B:438.82

Step-by-step explanation:

L x W x H

have a nice day :-)

Answer:

3.

Step-by-step explanation:

3m^2-3n^2= 3(m^2-n^2) = 3 (m+n)(m-n)

6m-6n= 6 (m-n)

3(m+n)~(m-n)~/6~(m-n)~ = (m+n)/2

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

Hey!!!

Solution,

2x+10+X+5=180 ( sum of co-interior angles)

or, 2x+X+10+5=180

or,3x+15=180

or,3x=180-15

or,3x=165

or, X=165/3

X=55

Hope it helps...

Good luck on your assignment

STAY SAFE......

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

Answer:

Step-by-step explanation:

2x + 10 + x + 5 = 180  (Sum of co-interior angles}

Add the like terms

3x + 15 = 180   {Subtract 15 form both sides}

3x +15 - 15 = 180 - 15

3x = 165  {Divide both sides by 3}

3x/3 = 165/3

x = 55°

Answer:

Step-by-step explanation:

1,4 ,13 ,  __________, 121

First term = 1

Second term  =  1 +  3        =  4

Third term      =  4 + 3*3     =  4 + 9   = 13

Fourth term =  13 + 3*3*3  = 13 + 27 = 40

2) 5, 12 , 33 ,_____

First term = 5

Second term = 5 + 7     = 12

Third term     = 12 + 7*3 = 12 + 21 = 33  

Fourth term = 33 + 7*3*3 = 33 + 63 = 99

Answer:

d = 9.9

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Simply plug in your numbers:

[tex]\sqrt{(-5-2)^2 + (12-5)^2}[/tex]= 7√2

7√2 ≈ 9.89949

Answer:

The volume of a triangular prism can be found by multiplying the base times the height. Both of the pictures of the Triangular prisms below illustrate the same formula. The formula, in general, is the area of the base (the red triangle in the picture on the left) times the height,h.

Step-by-step explanation:

hope that make sense, i tried to find something that explained

Step-by-step explanation:

Surface area is found by adding up all the areas of the different figures. When there are multiple figures of the same dimensions, you can just multiply them by the number of their amount.

The areas you'll be using for the triangular prism are:

[tex]a = \frac{1}{2} bh[/tex]

and

[tex]a = lw[/tex]

since there are both rectangles and triangles in this figure.

Using the prism, then, it's time to make a formula.

[tex]2( \frac{1}{2} bh) + 2(lw) + lw[/tex]

I put a 2 in front of the triangle's area because there are 2 triangles in this prism.

There's a 2 in front of the side of the triangle's area (it's a rectangle) because it has two sides.

That last lw doesn't have a number on it because it's for the base, and this prism only has one base.

Now, use the dimensions that are given to you to substitute.

[tex]2( \frac{1}{2} )(14)(24) + 2(10)(25) + (10)(14) \\ 336 + 500 + 140 \\ 836 + 140 \\ 976[/tex]

So, 976cm^2 is your area.

Answer:

[tex]976 {cm}^{2} [/tex]

Answer: [tex]\frac{29}{2}[/tex]÷[tex]\frac{5}{4}[/tex], [tex]\frac{29}{2}[/tex]×[tex]\frac{4}{5}[/tex]

Step-by-step explanation: Let me know if you need an explanation.

Answer:

its a and e two options it said

Step-by-step explanation:

Answer:

answer is A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality

Step-by-step explanation:

on  A P E X

To prove that the two circles are similar, the answer which would be the correct second step in his proof is:

This refers to a round plane who has a centre as a fixed point that has equal distance from each other.

With this in mind, we can see that Circle O and Circle X are shown and they are said to be similar, hence, the second step to prove that they are similar is A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality

Read more about circles here:
https://brainly.com/question/24375372

Answer:

6x (2x^2 + 4x), for it's not equal to 12x^2+24x.

Step-by-step explanation:

Answer:

6x (2x^2 + 4x), for it's not equal to 12x^2+24x.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The constant is the lone number, in this case it is 4.

Hope this helps.

Answer:

C

Step-by-step explanation:

Vertical asymptotes= -2,1

Answer:

80°

Step-by-step explanation:

The angles can be written as 4x, 6x, and 8x. Since the sum of angles in a triangle is 180 degrees we can write:

4x + 6x + 8x = 180

18x = 180

x = 10 which means the largest angle (8x) = 8 * 10 = 80°

Answer: 11/3 as a mixed number is 3 2/3

Answer:

3 2/3 inches of snow

Step-by-step explanation:

Your denominator is 3. Use the denominator to see how many times it goes into the numerator.

Knowing 3*3 = 9, then 3 goes into 11 three times

subtract 9 from 11 : 11 - 9 = 2

You are given a remainder of 2

Your whole number is three, and because you have 2 remaining from the 11, the 2 becomes 2/3

Answer: 3 2/3  inches of snow

Hope this helps!

Answer:

Step-by-step explanation:

the temperatures ordered from least to greatest

52, 53, 54, 54, 57, 62, 64, 69, 73, 73, 77, 78

the min is 52

the max is 78

median:

52, 53, 54, 54, 57, 62, 64, 69, 73, 73, 77, 78

(62+64)/2=126/2=63

thus the median is 63

now we don't include the median in finding the upper and lower quartile medians:

lower quartile median:

52, 53, 54, 54, 57, 62

54 (same #s no need to add up and divide by 2)

upper quartile median:

64, 69, 73, 73, 77, 78

73 (same #s no need to add up and divide by 2)

interquartile range is:

upper quartile median-lower quartile median:

73-54

19

Answer:

25%

Step-by-step explanation:

X=(18.75*100)/75

Answer: it is contrapositve