What is the equation of the line in the graph? explanation, please.
A. y = –1/3x – 1
B. y = 7/3x + 5
C. y = –5x + 7
D. y = –1/2x – 7

Answer:

infinite solutions

Step-by-step explanation:

At first, we try to isolate the x, but adding 4 to  -4 on both sides. Both sides have a -4 so it cancels out on both sides of the equation. Similarly, both sides also have a positve 6x, so when we subtract 6x from 6x we get 0. After simplification, we get x = x; x can be any number [ex. 1=1, 2=2, 3=3,etc.], therefore any number can fit into this equation

6x - 4 = -4 + 6x

6x - 4 + 4 = -4 + 4 +6x

6x = 6x

x = x

Answer:

infinite solutions

Step-by-step explanation:

Answer: 11.82 kilometers

Step-by-step explanation:

Question is:

How many kilometers is Luis's journey in total?

Luis travelled 6.37 kilometers by train. He also travels 5.45 kilometers by car.

The total travelled is therefore:

= 6.37 + 5.45

= 11.82 kilometers

Answer:

11.82

Step-by-step explanation:

Answer:

x=31

Step-by-step explanation:

that is an example of suplementary angles meaning that they will add up to equal 180

180-149=31

x=31

Answer:

y=-(2±√21)

Step-by-step explanation:

Answer:

y=-6.5

Step-by-step explanation:

Answer:

x>4

Step-by-step explanation:

16+5x>x+32

5x>x+16

4x>16

x>4

Answer: answer my question

Step-by-step explanation:

Answer:

4x + 45

______

Answer:

Step-by-step explanation:

ΔBDS ~ ΔBZD

Use ratios of similar triangles:

DZ = √(52²-20²) = 48

Correct choice is B

Answer:

Step-by-step explanation:

$18-$7.50= $10.50

Answer:

f(x)=3x

f(x)=x+2

f(x)=3√3+x2

Step-by-step explanation:

Answer:

The function would be linear because the rate of change is constant.

Step-by-step explanation:

Given

[tex]Base= \$89.00[/tex]

[tex]Rate = \$0.10[/tex] per minute

See attachment for complete question and options

First, we write the function that calculates the cost (C(t)) for t minutes.

This is calculated as:

[tex]Cost = Base + Rate * t[/tex]

[tex]C(t) = 89.00 + 0.10 * t[/tex]

[tex]C(t) = 89.00 + 0.10t[/tex]

Rewrite as:

[tex]C(t) = 0.10t + 89.00[/tex]

A function that has the above format is referred to as a linear function which has the general format

[tex]f(x) = mx + b[/tex]

Where

m represents the slope/rate and it is constant

From the list of given options, (a) is correct.

Answer:

The answer is 12.4.

Step-by-step explanation:

The exact distance would be 3 rooted to 17 but the decimal is 12.4.

I used my graphing calculator so i can't explain much :))

Hope this helps:))

Answer:

1. You should use subtraction (20-12.68=7.32)

2. You should use multiplication

3. You need to know 5 boxes and $5.29

4. You need to know 10 packages and 2 cases

Step-by-step explanation:

I hope this helpss!!

Answer:

we thus have enough informnation to prove that the two triangles are congruent. Because of thism, one side of the triangles, Pm which is the congruent side to that of PQ must be equal as well and

PM = QM

Step-by-step explanation:

because it's a parrallelogram, Ad = BC and AB = DC.

P passes through both  AB and DC on a diagonal, angles created by P have oppoiste exterior angles of eachother.

the diagonals of AC create congruent angles at DMC and AMB and because P is cutting through them, the angles P cuts at DMQ and QMC are equal to that of AMP and PMB

that being said, we now see that the angles of APM triangle and AMC triangol are equal and because the diagonal of BD is is being cut by AC, which AD is parralel to BC  and AB to Dc, we know now that lines AM and MC are congruent

we thus have enough informnation to prove that the two triangles are congruent. Because of thism, one side of the triangles, Pm which is the congruent side to that of PQ must be equal as well and

thus PM = QM

The alternate interior angles formed by the parallel sides and a common

transversal are equal, such that ΔPBM and ΔQDM are congruent.

Correct response;

The two column proof is presented as follows;

Statement [tex]{}[/tex]                                          Reason

ABCD is a parallelogram [tex]{}[/tex]                         Given

AC and DB are diagonals of ABCD [tex]{}[/tex]        Given[tex]{}[/tex]

M is the point of intersection of the diagonals [tex]{}[/tex] Given

MB ≅ DM, and AM ≅ CM;[tex]{}[/tex]  Properties of the diagonals of a parallelogram

∠PMB ≅ ∠DMQ [tex]{}[/tex]                                Vertical angles theorem

∠PBM ≅ ∠QDM [tex]{}[/tex]                                Alternate interior angles theorem

ΔPBM ≅ ΔQDM  [tex]{}[/tex]                               Angle-Side-Angle Congruency post.

PM ≅ QM [tex]{}[/tex]                                          CPCTC

ΔPBM is congruent to ΔQDM by Angle-Side-Angle congruency

postulate, given that they have two angles and an included side that are

congruent.

Therefore;

Learn more about congruency postulates here:

https://brainly.com/question/17003791

Answer:

C

Step-by-step explanation:

C

Answer:

g. 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

since it's a 45 45 90 triangle, both the legs are the same (8) and the hypotenuse(y) would be 8 rad 2 :)

Answer:

probablt m= 0.628

Step-by-step explanation:

Answer:

4 red beads

Step-by-step explanation:

Answer:

LSA of a cube = 100 in²

Explanation:

Let the area of the cube be a.

Given the following data;

a = 5 in²

To find the lateral surface area;

We know that a cube has four faces and as such the lateral surface area would be the area of the four faces.

Lateral surface area (LSA) of a cube = 4a²

Substituting into the equation, we have;

LSA of a cube = 4*5²

LSA of a cube = 4*25

LSA of a cube = 100 in²

Therefore, the lateral surface area of the package is 100 square inches.

THe Left one

The bottom and the left lateral face have the largest area.

The area of the prism is 96 cm³.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The bottom one:

Lateral area.

= 12 x 4

= 48 cm²

The left one:

Lateral area.

= 12 x 4

= 48 cm²

The diagonal one:

Lateral area.

= 1/2 x 4 x 4

= 8 cm²

Now,

Area.

= ( 1/2 x 4 x 4 ) x 12

= 8 x 12

= 96 cm³

Thus,

The bottom and the left lateral face have the largest area.

The area of the prism is 96 cm³.

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ3

Answer:

m=y = 2x + 4.

y intercept is 4

Step-by-step explanation:

Answer:

5. x = 8

8. x = 52

9. a) x/300 = 7/15

9. b) 140

Step-by-step explanation:

Answer:

y=4x-1

Step-by-step explanation:

We know that the slope equation is y=mx+b. M is the slope and B is the y-intercept. M is provided to be 4 and B is provided to be -1, so all we have to do is plug them in to get the answer.

Answer:

y = 4x - 1

Step-by-step explanation:

Slope-intercept form:

y = mx + b

So, input all the values...

y = 4x - 1

Hope this helps :)

Let me know if there are any mistakes!!

Answer:

y=7x+2

Step-by-step explanation:

The equation that i gave you is parallel to the one you mentioned

Answer:

x = 13.75

Step-by-step explanation:

(4x + 5) - 10 = 50

4x + 5 - 10 = 50

4x - 5 = 50

4x = 50 + 5

4x = 55

x = 55/4

x = 13.75

Answer:

AB= 8.1

AB=7.8

Step-by-step explanation:

[tex]ab = \sqrt{ {(8 - 1)}^{2} + {(6 - 2)}^{2} } [/tex]

[tex] = \sqrt{ {7}^{2} + {4}^{2} } = \sqrt{49 + 16} [/tex]

[tex] = \sqrt{65} = 8.1[/tex]

[tex]ab = \sqrt{ {(6 - 1)}^{2} + {(2 - 8)}^{2} } [/tex]

[tex]= \sqrt{ {5}^{2} + { ( - 6)}^{2} } = \sqrt{25 + 36} [/tex]

[tex] = \sqrt{61} = 7.8[/tex]

Answer: they will need to sell 1,000 soft  drinks and 50 cakes

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

A.The dependent variable is the cost, and the independent variable is the area of the floors.

Step-by-step explanation:

Because I had a quiz with the same question and got it right, and because the paragraph says "The cost depends on the area of the floors."

Answer:

A.

Step-by-step explanation:

"The cost depends on the area of the floors"

The independent variable is the cause and the dependent variable is the effect. Took the test.