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A function representing the line that includes the points (3,3) and (-6,15) is 3y=-4x+21.

The given coordinate points are (3,3) and (-6,15).

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Now, slope=(y2-y1)/(x2-x1)

= (15-3)/(-6-3)

= 12/(-9)

= -4/3

Substitute m=-4/3 and (x, y)=(3, 3) in y=mx+c, we get

3=-4/3 (3) +c

c=7

Put, m=-4/3 and c=7 in y=mx+c, we get

y=-4/3 x+7

3y=-4x+21

Therefore, a function representing the line that includes the points (3,3) and (-6,15) is 3y=-4x+21.

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

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Answer:

Yes

a triangle is any three sided figure, so yes he did

Step-by-step explanation:

Answer:

[tex]2 {x}^{3} + 11{x}^{2} - 25x - 28[/tex]

Step-by-step explanation:

Using foil method, Multiply the first term

[tex]2 {x}^{2} \times x = 2 {x}^{3} [/tex]

Next, Multiply the Outer term in each parenthesis. (2x^2 and 7

[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} [/tex]

[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} \: \: \: 3x \times - x = - 3x[/tex]

Then, Multiply the Inner Terms (-3x,-4,7) in each parenthesis

[tex] - 3x \times 7 = - 21x[/tex]

[tex] - 4 \times x = - 4x[/tex]

Then multiply the last term (-4 and 7).

[tex] - 4 \times 7 = - 28[/tex]

Combine it you have

[tex]2 {x}^{3} + 14 {x}^{2} - 3 {x}^{2} - 21x - 4x - 28[/tex]

which simplify to

[tex]2 {x}^{3} + 11 {x}^{2} - 25x - 28[/tex]

Answer:

25

Step-by-step explanation:

Formula

[tex]B = 25(\frac{M}{10} +\frac{3}{4} )[/tex]

Where M meters of granola makes B granola bars.

Given:

M = 2.5 meters

Now substitute that value in the formula and calculate.

[tex]B=25(\frac{2.5}{10} +\frac{3}{4} )= 25(1) = 25[/tex]

Therefore, 2.5 meters of granola makes 25 granola bars.

B = 25

Answer: 12

Step-by-step explanation:

220-40=180

180/15=12

Answer:

11 months

Step-by-step explanation:

220 -40=180

Since you have to pay $40 to join you have to add $15 to that $40 for the monthly fee.

220-40-15=156

^ This equals one month worth of the membership.

220-40-15-15-15-15-15-15-15-15-15-15-15=0

So add up all the 15s and you have the number of months Ty ´Lil can afford.

I hope this makes sense.

Answer:

x = 14

Step-by-step explanation:

15² = x² + 6²

225 = x² + 36

189 = x²

√189 = x

x = 13.7

x = 14

Answer:

its B and E i just did the question and got it right

Answer:

B and D

Step-by-step explanation:

Answer:

50.0

Step-by-step explanation:

pls follow me and Mark as brainliest and follow me to get free thnks to all your answer's

Answer:

50.0

Step-by-step explanation:

1. [tex] \frac{x}{15} = 3[/tex]

2. 8x = 216

Answer:

1. 45

2. 27

(please correct me if im wrong :D)

Answer:

window sill height =9.75 meters

Step-by-step explanation:

Ladder^2=height^2+length^2

12^2=height^2+7^2

144=height^2+49

height^2=144-49=95

height=9.75

Answer:

8.5 is correct answer i read a diffrent question did a diffrent problem its 8 and a half not 0.85 that would be a very small e-reader

Answer:

e. 9 ft

Step-by-step explanation:

Answer:

a. Total cost of the principal = $217,411.20

b. Interest for the mortgage loan = $104,911.20

Step-by-step explanation:

Total cost of the principal = Monthly payment * Number of years * Number of months in a year = $603.92 * 30 * 12 = $217,411.20

Total cost of the principal of the loan includes the mortgage loan amount and the interest for the mortgage loan. Therefore, the interest for the mortgage loan can be calculated as follows:

Interest for the mortgage loan = Total cost of the principal - Mortgage loan amount = $217,411.20 - $112,500 = $104,911.20

Answer:

Which number line represents the solution set for inequality?

c.

Answer:

-8 -8

Step-by-step explanation:

Because it is the most reasonable

Answer:

b = 20, c = 160

Step-by-step explanation:

b and 20 degrees are vertical angles, so they are equal.

b (20 degrees) and c are on a line together, so they add up to 180. 180 - 20 = 160 degrees

Answer:

All the none-zero digits given should be included when written in scientific notation. But also any trailing zeros written after non-zero digits should also be included.

For example in 0.00900 the 900 is significant because the person who included the trailing zeros is saying look I measured this far and these zeros are significant.

Step-by-step explanation:

[tex] \sqrt{7} = {7}^{ \frac{1}{2} } = \sqrt{7} [/tex]

Answer:

–65 ≥ –10+ u/ 2

-65+10≥u/2

-55×2≥u

-110≥u

Answer:

-110>or equal to u

hope it's helpful ❤❤❤

THANK YOU❤

Answer:

11 3/5

Step-by-step explanation:

23 2/5-11 4/5

22 7/5-11 4/5

11 3/5

Answer:

12 answer

Step-by-step explanation:

(8x-34)=(5x+2) (correspounding angle)

8x-5x=34+2

3x=36

x=36/3

x=13

Answer:

[tex]E =[/tex] [tex](-3,3)[/tex]

Step-by-step explanation:

The question has missing parameters.

The (missing) given coordinates are:

[tex]D(x_1,y_1) = (-2,-4)[/tex]

[tex]F(x_3,y_3) = (0,7)[/tex]

[tex]G(x_3,y_4) = (1,0)[/tex]

Required

Find the coordinates of [tex]E(x_2,y_2)[/tex]

To do this, we make use of mid-point formula which is:

[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]

This gives:

[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

Multiply through by 2

[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]

[tex](-2,3) = (x_2+1,y_2+0)[/tex]

[tex](-2,3) = (x_2+1,y_2)[/tex]

By comparison:

[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]

So, we have:

[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]

[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]

This gives:

[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]

Hence, the 4th coordinate is: [tex](-3,3)[/tex]

Answer:4-7x i believe

Step-by-step explanation:

Answer:

C. 1

Step-by-step explanation:

C. 1

Answer:

D

Step-by-step explanation:

[tex] \sin(30) = \frac{n}{ \frac{10 \sqrt{3} }{3} } \\ 0.5 = \frac{n}{5.77} \\ n = 2.88 = \frac{5 \sqrt{3} }{3} [/tex]

[tex] \cos(30) = \frac{m}{ \frac{10 \sqrt{3} }{3} } \\ 0.866 = \frac{m}{5.77} \\ m = 5[/tex]

Answer:

1.72

Step-by-step explanation:

0.52 plus 1.2 is equal to 1.72

Answer:

1.5

Step-by-step explanation:

0.52+1.2

approx.

0.5+1.0=1.5