Determine if this table is a linear function. If so, what is the slope?

Answer:

A. x = 2, y = 12

Step-by-step explanation:

You can solve this problem using similar triangles; you know the triangles are similar because each of the two legs of the triangles are cut in half, meaning the line 5x - 3 is parallel to x + 12. Because of the nature of this figure (the line that is length 5x - 3 cuts the triangle exactly halfway), you can write an equation to find x:

2(5x - 3) = x + 12 (this is a property of triangles when a line is parallel to a base and intersects the triangle at half of that base's height. The line would be half the base)

10x - 6 = x + 12 (simplify)

9x - 6 = 12 (subtract x from both sides)

9x = 18 (add 6 to both sides)

x = 2 (divide both sides by 9)

At this point, you could just click A since that's the only problem where x = 2, but for the sake of properly explaining this problem, I'll continue to find y.

In the image, y + 8 is equal to 2y - 4, shown by the short lines intersecting each side signifying congruence. Now, you can write an equation for this and solve:

y + 8 = 2y - 4

8 = y - 4 (subtract y from both sides)

y - 4 = 8 (switch it around so y is on the left; you don't have to do this, but I think it makes the problem more comfortable to solve)

y = 12 (add 4 to both sides)

Answer:

(3,2)

Step-by-step explanation:

y = -2x + 8

y = x-1

Substitute x-1 for y in the equation y = -2x + 8.  x-1 = -2x + 8

Use the Additive Property to move the

constant terms to one side of the equation.      x-1 = -2x + 8

                                                                                +1           +1

                                                                                  x = -2x + 9

Now do the same to the variable terms.              +2x +2x

                                                                                 3x = 9

Divide both sides of the equation by the

constant in the variable term.                               ÷3 = ÷3

                                                                                   x = 3

To find y, simply substitute the value of x into

one of the original equations.                                 y = x-1

                                                                                   y = 3-1

Solve:                                                                         y = 2

The solution is (3, 2).

Answer: 14,575

Step-by-step explanation:

85(2) 0.4x = 6000      Multiply 85 times 2

170 + 0.4x = 6000      Subtract 170 from both sides

         0.4x = 5830       Divide 5830 by 0.4

             x = 14,575

Answer:

14

hope this helped

Answer:

i believe the student delivered 40 pizzas but i could be very wrong

Step-by-step explanation:

The ratio 62:4 in the form n : 1 is 13 : 1.

Here,

The ratio is 62 : 4.

We have to express the ratio 62:4 in the form n:1.

What is Ratio?

A ratio is a comparison of two similar quantities obtained by dividing one quantity by the other.

Now,

The ratio is 62 : 4.

⇒ [tex]\frac{64}{4} = \frac{4}{1}[/tex]

Hence, The ratio 62:4 in the form n:1 is 4 : 1.

Learn more about the Ratio visit:

https://brainly.in/question/21176443

#SPJ2

Answer:

22

Step-by-step explanation:360-85=275, 275 divided by 12.

Answer:

personally, I would say try using the formula you were taught because there are different ways people do things

Step-by-step explanation:

formula is key

Answer:

t2-t1 =43-40

Step-by-step explanation:

you subtract the second term by the first term to get the common difference

Answer:

$2

Step-by-step explanation:

Its actually quite simple.

first find the mean for june.

add $21.50 + $29.75 + $32.00 + $15.25

that is equal to 98.5

then divide by 4.

that is 24.625

do not round to the nearest penny yet.

now you need to find the mean for july.

just add $8 to the total amount you made in june to find the total amount you made in july.

that is 106.5

then divide that by four because you worked four fridays in july as well.

that is 26.625.

finally you need to find the difference between 26.625 and 24.625.

26.625-24.625= 2

and ta-da!!!

the answer us $2.

your welcome. tell me if it is correct.

Answer:

10

Step-by-step explanation:

Answer:

either 1/9 or -1/9, they both work

Step-by-step explanation:

the problem is |-9x| + 3 = 4

-9x = 1

x = -1/9

and since it is absolute value you use both the positive and the negative...

hope this helps

The two angles are vertical angles so they are congruent.

3x+18=5x

2x=18

x=9

Answer:

14m^2

Step-by-step explanation:

area of triangle = 1/2bh

= 1/2(3)(4) = 6

area of rectangle = bw

=(4)(2) = 8

6+8 = 14

Answer:

14m²

Step-by-step explanation:

rectangle area= 4*2=8

triangle area= 1/2*3*4=6

total area=14

Answer: A not a triangle

Step-by-step explanation:

Answer:

n=2

Step-by-step explanation:

16+6n=7(6-n)

16+6n=42-7n

-16 +7n -16 +7n

13n=26

13n/13=26/13

n=2

Answer:180+65=245, your answer is 245 degrees.

Step-by-step explanation:

It looks like Point G is correct

Answer:

90,502,084.19

Step-by-step explanation:

Just add them together

Answer:

7.385 minutes

Step-by-step explanation:

Given that :

Average speed = 65km/hr

The distance covered = 8km

The time taken Given the information above :

Recall:

Speed = distance / time

Time taken = distance / speed

Time taken = 8km / 65km/hr

Time taken = 0.1230769 hr

Time taken = 0.1230769 * 60 = 7.385 minutes

The time taken to cover this distance is 7.3848 minutes

Speed is the change of an object's distance within a specified period of time.

Mathematically, speed can be calculated by using the relation:

From the given information:

From the above formula, we can make the time the subject of the formula:

By cross multiplying

We all know that:

Thus, time(t) = (0.12308 × 60) minutes

Time(t) = 7.3848 minutes

Learn more about speed here:

https://brainly.com/question/4931057

Answer:

20% more

Step-by-step explanation:

30%-10% = 20%

Answer:

Step-by-step explanation:

[tex]10.6h+53.7\ge 165\\ \\ 10.6h\ge 111.3\\ \\ h\ge 10.5[/tex]

Answer: k - 8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

Ax + By = C ( subtract Ax from both sides )

By = C - Ax ( divide all terms by B )

y = [tex]\frac{C}{B}[/tex] - [tex]\frac{A}{B}[/tex] x , that is

y = - [tex]\frac{A}{B}[/tex] x + [tex]\frac{C}{B}[/tex] → C