As a large truck fills its gas tank, the amount of gas, in gallons, can be modeled with the linear function

g = 4t + 8


c.) What is the y- intercept and what does it represent in this problem

D.) What is the Slope and what does it represent in this problem

Answer:

Step-by-step explanation:

The area of each trapezoid can be found using the relevant formula:

  A = 1/2(b1 +b2)h . . . . b1, b2 are the base lengths; h is the height

For the top trapezoid, the height is 13 m-7 m = 6 m, so the area is ...

  A = 1/2(8 m +5 m)(6 m) = 39 m²

The area of the bottom trapezoid is ...

  A = 1/2(10 m +17 m)(7 m) = 94.5 m²

The area of the shape is the sum of the areas of the two trapezoids.

  area = 39 m² +94.5 m² = 133.5 m² . . . . area of the figure

__

The horizontal lengths are all marked, but the slant lengths are not. There are no angles or other information given that can help determine the slant lengths. In order to answer the question, we can assume that the trapezoids are isosceles. Then the base of the right triangle shown in the top trapezoid is (8 -5)/2 = 1.5 m. The height is 6 m. The Pythagorean theorem tells us the slant length is ...

  s1 = √(1.5² +6²) ≈ 6.1847 . . . . meters

Similarly, the base length of the right triangle shown next to the bottom trapezoid is (17 -10)/2 = 3.5 m. The height is 7 m. The slant length of that one is ...

  s2 = √(3.5² +7²) ≈ 7.8262 . . . . meters

__

The perimeter is the sum of the lengths of the sides. Note that the 17 m dimension includes 8 m that are not part of the boundary of the figure. The sum of lengths of the horizontal edges is ...

  10 m +(17 -8 m) +5 m = 24 m

The sum of the lengths of the slant edges is ...

  2·s1 +2·s2 = 2(6.1847 +7.8262) ≈ 28.02 . . . . meters

The perimeter of the figure is the sum of horizontal lengths and slant lengths:

  24 m + 28.02 m = 52.02 m . . . . perimeter of the figure

Answer:

it's y=-3x-10

Since these are one-step equations we only have one step.

To solve, these single steps will include the following:

[1] addition (+)

[1] subtraction (-)

[2] division (/ or ÷)

[2] multiplication (* or x)

How do we answer these? We do the opposite of what is shown. If we have addition in 4 + x = 6, we will use subtraction to solve. The numbers one (1) and two (2) above show the "sets"  of which we use.

[] 3x = -12

     -> -4

We have multiplication so we will divide -12 by 3 for an answer of -4

[] 14x = 280

     -> 20

We have multiplication so we will divide 280 by 14 for an answer of 20

[] x + 6 = -5

     -> -11

We have addition so we will subtract 6 from -5 for an answer of -11

[] x + 27 = 125

     -> 98

We have addition so we will subtract 27 from 125 for an answer of 98

[] x - 324 = 760

     -> 1,084

We have subtraction so we will add 324 to 760 for an answer of 1,084

[] x - 43 = 35

     -> 78

We have subtraction so we will add 43 to 35 for an answer of 78

[] x/6 = -24

     -> -144

We have division so we will multiply 6 by -24 for an answer of -144

[] x/13=214

     -> 2,782

We have division so we will multiply 13 by 214 for an answer of 2,782

[] 26 - x = 47

     -> -21

We have subtraction so we will add x to both sides to reach the equation 26 = 47 + x

Then, we have addition so we will subtract 47 from 26 to get an answer of -21

[] -x/3=-998

     -> 2,994

First, we will move the negative to the bottom of the fraction, which looks like this: [tex]\frac{-x}{3} = \frac{x}{-3}[/tex]

Then, we have division so we will multiply -3 by -998 for an answer of 2,994

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

[tex]m = \frac{5}{3}[/tex]  

[tex]b = \frac{4}{3}[/tex]

Step-by-step explanation:

The question requires you to rearrange the equation into the form:

y = mx + c

Which is the straight line equation, meaning rearrange for y:

Add 3y to both sides of the equation:

5x - 3y + 4 = 0

5x - 3y + 4 + 3y = 0 + 3y

5x + 4 = 3y

Divide both sides of the equation to isolate y:

[tex]\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}[/tex]

[tex]y = \frac{5}{3}x + \frac{4}{3}[/tex]

This means that  [tex]m = \frac{5}{3}[/tex]  and [tex]b = \frac{4}{3}[/tex].

Hope this helps!

Answer:

m = 5/3 and c = 4/3.

Step-by-step explanation:

5x - 3y + 4 = 0

-3y = -5x - 4

y = (-5/-3)x - 4/-3

y = 5/3 x + 4/3

y  = mx    +  c

So m = 5/3 and c = 4/3

Answer: 18 inches

Step-by-step explanation:

2 x 6 = 12 inches (wide)

3 x 6 = 18 inches (tall)

Answer:

v = -170

Step-by-step explanation:

-v + 91 = 261

(-v + 91) - 91 = 261 - 91

-v = 170

-v / -1 = 170 / -1

v = -170

Step-by-step explanation:

(-v) +91 = 261

(-v) =91=261

(-v)=261-91

(-v)=170

v= - 170 (change the signs)

Answer:

64

Step-by-step explanation: I looked it up

Answer: 13 ( 1 + 2 )

Step-by-step explanation:

13 ( 1 + 2 ) = 13 + 26

Answer: you give us that picture, but what are the instructions?

Step-by-step explanation:

Answer:

oh you have to draw for this assignment.. sad

Step-by-step explanation:

Answer:So firstly, plug in the numbers into the expression:

Next, solve the exponents:

Next, solve the multiplications:

Lastly, combine everything, and your answer will be -23.

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

By substituting the given numeric values for x,y and z into the expression.

That is

(3)3−2(5)2−3(3)3+(−3)4

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

I'll evaluate each term separately.

(3)3=3×3×3=9×3=27

2(5)2=2×(5×5)=2×25=50

3(3)3=3×(3×3×3)=3×27=81

(−3)4=[(−3)×(−3)]×[(−3)×(−3)]=9×9=81

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

Replace these values back into the expression , noting the values which are subtracted.

⇒27−50−81+81=27−50=−23

Answer:

Step-by-step explanation:

Direct variation equation:

Given:

The equation is:

Find the value of x when y = 168:

Answer:

Answer is in the attached file.

Answer:

  5a^2 +2a

Step-by-step explanation:

Like terms are ones with the same exponent of x. They can be combined.

  3a^2 +2a +2a^2

  = (3a^2 +2a^2) +2a

  = (3+2)a^2 +2a

  = 5a^2 +2a

5a² + 2a

Step-by-step explanation:

[tex] ⇒ \: \rm 3 {a}^{2} + 2a + 2 {a}^{2} [/tex]

[tex]⇒ \: \rm(3 + 2) {a}^{2} + 2a[/tex]

[tex] \rm ⇒ \: 5 {a}^{2} + 2a[/tex]

Answer:

B. 24

Step-by-step explanation:

If N1 = 8;

N1 + 4

8 + 4 = 12 =N2

N2 + 4

12 + 4 = 16 = N3

N3 + 4

16 + 4 =20 = N4

N4 + 4

20 + 4= 24 = N5

110<2x+10

Step 1: Flip the equation.

2x+10>110

Step 2: Subtract 10 from both sides.

2x+10−10>110−10

2x>100

Step 3: Divide both sides by 2.  

x>50

Step-by-step explanation:

Answer:

0.5 liters

Step-by-step explanation:

If they were to get 0.25 then they would still be missing some more for the recipe. If they get 0.5 then they would have just a tad bit leftover. Less than 0.027 liters. Which is the smallest amount that they can have left over. 1liter and 1.5liters are over twice the amount of the recipe. So that wouldn't be a wise choice unless they wanted to make double or triple the recipe.

Answer:

The answer is 0.5 liter

Step-by-step explanation:

Because 0.25 liter ÷ 0.5 liter = 0.5 liter

Answer:

32 degrees

Step-by-step explanation:

The law of cosines can be used for this:

 h^2 = f^2 +g^2 -2fg·cos(H)

 cos(H) = (f^2 +g^2 -h^2)/(2fg)

 cos(H) = (650,500/763,600)

 H = arccos(6505/7636) ≈ 31.5826°

Answer:

hehehehehehe

Step-by-step explanation:

ssa

Answer:

the question was not correctly solved

Step-by-step explanation:

A=½bh

23=½*b*h

²/1×23= bh

²/1×23=6h

46=6h

h=7.666666667 / h=23/3

I hope this is helpful

Answer:

5.7%

Step-by-step explanation:

421-367=24

24/421x100=5.7%

Answer:

Step-by-step explanation:

The perimeter = side1 + side2 + side3

P = 29

side1 = 9

side2 = 9

29 = 9 + 9 + side3

29 = 18 + side3           Subtract 18 from both sides

11 = side 3

Answer:

hb≈7.12in

a Side

9

in

c Side

9

in

P Perimeter

29

in

γ

c

a

h

b

b

h

b

h

b

c

γ

a

b

a

c

b

γ

P

c

γ

a

b

A

Using the formulas

A=hbb

2

A=s(s﹣a)(s﹣b)(s﹣c)

P=a+b+c

s=a+b+c

2

Solving forhb

hb=﹣﹣P4+4P3a+4P3c﹣4(Pa)2﹣12P2ac﹣4(Pc)2+8Pa2c+8Pac2

2a﹣2P+2c=﹣﹣294+4·293·9+4·293·9﹣4·(29·9)2﹣12·292·9·9﹣4·(29·9)2+8·29·92·9+8·29·9·92

2·9﹣2·29+2·9≈7.1239in

Step-by-step explanation:

Answer:

Quadrant 2 (-2,1)

Step-by-step explanation:

Answer:

you anwser would be quadrant 3 please mark brainliest

Step-by-step explanation:

Step-by-step explanation:

3(4x - 2) = 12x - 6

12x - 6 = 12x - 6

that is always true, no matter what value we pick for x.

so, this has infinite many solutions.

3(4x - 2) = -12x - 6

12x - 6 = -12x - 6

24x = 0

x = 0

this has one solution.

-3(4x - 2) = -12x - 2

-12x - 6 = -12x - 2

-6 = -2

this is never true, no matter what value we pick for x.

so, this has no solution at all.

Answer:

see below

Step-by-step explanation:

Hi!!

Here's how I found it:

First, I simplified all my equations.

1.12x-6=12x-6

2.12x-6=-12x-6

3.-12x+6=-12x-2

#1 has infinite solutions, given that the equations are identical to eachother. Any value of x will sufice.

#2 can be simplifed with algebra.

Cancel out the -6, since it is on both sides.

we are left with 12x=-12x, which can be solved with the value of 0. This has one solution.

#3 can also be simplifed using algebra.

Cancel out the -12x, since both sides have that.

you are left with:

6=-2

this will never have a solution, therefor, it is no solution.

Answer:

10 or 10/1

Step-by-step explanation:

1/1000 * 10= 0.01 = 1/100

Answer:

14.

Step-by-step explanation:

1) if the sides of the given triangle are 'a'=9, 'b'=x and 'c'=x+2, then its perimeter can be written as: P=a+b+c or P=9+x+x+2;

2) if according to the condition P=35, then 9+x+x+2=35;

2x=24; ⇒ x=12;

3) if x=12, then a=9; b=12 and 14;

4) finally, c=14 - the required longest side.

Answer:

15

Step-by-step explanation:3/4*20=15

Answer:

y= -10x+70

slope being -10 and y-intersept being 70

Step-by-step explanation:

Answer:

Equation: y=-10x+70

Slope: -10

Y-Intercept: 70

Hope this helps!

Step by step? Just ask.

Doubt? --> comment section.

Happy Holidays! (✿◡‿◡)