Which equation in point slope form is shown in the graph below

A. y - 3 = - 4/7 (x+4)

B. y + 3 = - 4/7 (x- 4)

C.y - 3 = - 7/4 (x+4)

D.y + 4 = - 2/7(x - 3)

Answer:

volume= l*b*h

So, Volume=area*height

= 74*20

=1480cm³

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the unit rate is termed as the slope of the line.

We also know that the slope is normally represented by a fraction which may be expressed as a unit rate found at the point on the graph.

We are given that a bottling machine fills 15 bottles of water every 6 seconds.

Thus,

unit rate = 15 bottles / 6 seconds

              = 2.5 bottles / 1 second

              = 2.5 bottles per second

Thus,

The unit rate = 2.5 bottles per second

We know that the unit rate represents the slope of the line which is normally represented by a fraction or ratio.

Therefore,

Slope = 15 / 6

          = 2.5

∡ NKM + ∡KNM + ∡ NMK = 180° Because Angles in a triangle ΔNKM sum to 180°

∡ NKM + 90° + 60° = 180°

∡ NKM = 30°

∡ NKM = ∡JKN = ∡ MKL = 30° because ΔJKM∼ΔNKM∼ΔMKL

Finally:

∡ JKL = ∡ NKM + ∡JKN + ∡ MKL

∡ JKL =  30° +  30° +  30°

∡ JKL = 90°

With the help of properties of triangle ∠JKL = 90 degrees.

To prove:

∠JKL = 90 degrees.

Here,

Angle sum property of triangle:

In any triangle sum of angles is 180 degrees.

So,

In ΔNKM

∡ NKM + ∡KNM + ∡ NMK = 180°

∡ NKM + 90° + 60° = 180°

∡ NKM = 30°

Now,

ΔJKM∼ΔNKM∼ΔMKL (By AAA)

Thus,

∡ NKM = ∡JKN = ∡ MKL = 30°

Next,

∡ JKL = ∡ NKM + ∡JKN + ∡ MKL

∡ JKL =  30° +  30° +  30°

∡ JKL = 90°

Hence proved.

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Answer:

Step-by-step explanation:

if you look at the graph 0-3 is positive

so that gives us 3+

3-2(you count 3 to -2 is negative since it goes left

so that gives us 3+(-5)

thks

Answer:

-2

Step-by-step explanation:

-6-(-4) = -2

Answer: -2

Step-by-step explanation:

-6-(-4) = -6+4 = -2

Answer:

2. trust me.. i did it before.

Answer:

Step-by-step explanation:

To solve this, we need to use the Pythagorean theorem to solve this.

The way to solve is by solving for AD by using triangle CAD and then using that result to solve for BD.

3.4² + b² = 6.5²

11.56 + b² = 42.25

42.25 - 11.56 = b²

b = √30.69

b = 5.53985559 or about 5.5

4.9² + b² = 5.5²

24.01 + b² = 30.69

30.69 - 24.01 = 6.68

b = √6.68

b = 2.58456959666 or about 2.6

3.4 + 4.5 = 7.9

6.5² + 4.9² = 7.9²

66.26 doesn't equal 62.41

Answer:

omg what the heck is this.

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

48/4 = 12,   12+5=17

Answer:

An equation to  represent the situation would be:

Step-by-step explanation:

Given that the water supply is losing 4 gallons of water every second.

It means the rate of change = 4 gallons per second

So the equation becomes

1024 = 4(15) + b

comparing with the slope-intercept form of the equation of a line

[tex]y = mx+b[/tex]

where m is the slope (rate of change) and b is the y-intercept

so

[tex]1024 = 4(15) + b[/tex]

[tex]1024 = 60 + b[/tex]

[tex]1024 - 60 = b[/tex]

[tex]b = 964[/tex]

So, the value of y-intercept i.e b=964

Thus, the equation will be

[tex]y = mx+b[/tex]

substituting the value rate of change i.e m = 4 and b=964

[tex]y = 4x + 964[/tex]

Therefore, an equation to  represent the situation would be:

Answer:

11(x+10)=132 x = 2

Step-by-step explanation:

Step 1: Distribute the 11 to the "x" and the "10".

          (Equation now becomes 11x + 110 =132)

Step 2: Subtract the "110" over to the "132"

          (Equation now becomes 11x=22)

Step 3: Divide the "11" and the "22" --> 11x=22

                                                                11    11

Answer : x = 2

Answer:

8/24 = 1/3

10/20 = 1/2

9/18 = 1/2

8/48 = 1/6

12/24 = 1/2

9/18 = 1/2

56/80 = 7/10

30/50 = 3/5

32/48 = 2/3

20/30 = 2/3

Answer:

6 units

Step-by-step explanation:

please mark me brainliest

Answer:

let x be the length of the shorter piece.

4x + x= 210

x= 42.

4x= 168

The shorter piece is 42in and the long piece is 168 in.

The length of the shorter piece will be;

⇒ x = 44 inch

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

A 220-inch pipe is cut into two pieces.

And, One piece is four times the length of the other.

Now,

Since,  One piece is four times the length of the other.

Let height of shorter piece = x

Then, The height of longer piece = 4x

Hence, We can formulate;

⇒ x + 4x = 220

Solve for x as;

⇒ 5x = 220

⇒ x = 220 / 5

⇒ x = 44

Thus, The length of the shorter piece will be;

⇒ x = 44 inch

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Answer:

combine like terms

Step-by-step explanation:

Answer:

x=y-44 and x+y=410

Step-by-step explanation:

So, you want to use the equations x=y-44 and  x+y=410 when x is Ann's score and y is Ruth's score. This is because x (Ann's score) is Ruth's score (y) but 44 less, so you subtract y-44 to get x. Then x+y would also have to equal 410 so that's the other equation. Graphing the 2 equations gets you to the point  (183,227) in which Ann's score is 183 points and Ruth's score is 227 points.

Answer:

What is the question. I can't help if there is no question

Answer:

y = -x + 1

Step-by-step explanation:

Slope intercept form is y = mx + b

4x + 4y = 4

x + y = 1

y = -x + 1

Answer:

asking all these questions why you asking all these questions

Step-by-step explanation:

Given that ,

The sweater shack is offering 20% discount,

and the regular price is $ 15 .00,

so, the discount given would be

⇢ $ 15 x 20/100

⇢$ 15 x 0.2

⇢$ 3

⇢Regular price - Discount price

⇢$15 - $(20/100 x 15)

⇢$15 - $3

⇢$12

Given that,

20% out of 30 students scored an A in previous math test,

so ,the number of students who got an A in the test

⇢ 30 x 20/100

⇢30 x 0.2

⇢6

Hence ,6 students secured an A grade in last math test

Given that,

The Jean junction is selling the jeans at the discount rate of 15% of the regular price which is $25.00,

so, the discount is

⇢$25.00 x $ ( 15/100 )

⇢$25.00 x $ 0.15

⇢$3.75

⇢ $25.00 - $25.00 x $ ( 15/100 )

⇢$25.00- $25.00 x $ 0.15

⇢$25.00 -$3.75

⇢$21.25

Answer: It's called a finite. The opposite of a finite is a infinite set.

Step-by-step explanation:

kind of simple I don't know

We need to know about ratio to solve the problem. The ratio of 350[tex]cm^{3}[/tex] to 1 litre as a ratio in its lowest terms is 7:20.

Ratio is the measure of how many times one number contains another in it. We can find the ratio of one quantity to another by dividing one by the other by cancelling out the common factors between the two. We have to find the ratio of 350[tex]cm^{3}[/tex] to 1 litre in its lowest terms. The lowest terms for both the quantities is [tex]cm^{3}[/tex]. We know that 1 litre =1000[tex]cm^{3}[/tex], we will convert the 1 litre to 1000[tex]cm^{3}[/tex] for calculating the ratio.

The ratio of 350 [tex]cm^{3}[/tex] to 1 litre =350/1000=35/100=7/20= 7:20

Therefore we found the ratio of 350 [tex]cm^{3}[/tex] to 1 litre in its lowest terms to be 7:20 by using the concept of ratio.

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Answer:

Part A. The Toyota uses 21 miles per gallon.

Part B. The Toyota can go 315 miles using 15 Gallons.

Step-by-step explanation:

P.S Can I have brainliest?

The new Toyota can travel 315 miles with 15 gallons of gas.

Given that, the new Toyota can go 15 3/4 miles on 3/4 of a gallon of gas.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

A) Here, 15 3/4 miles can be written as 63/4

Now, the mileage = 63/4 ÷ 3/4

= 63/4 × 4/3

= 21 miles per gallon

B) Number of miles travelled with 15 gallons

= 21 × 15

= 315 miles

Hence, the new Toyota can travel 315 miles with 15 gallons of gas.

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Answer:

13

Step-by-step explanation:

Answer:

to much typing

Step-by-step explanation:

Answer:

I think it’s a

Step-by-step explanation:

On edge

Answer: (b + 3)/2

[tex]\frac{b-5}{2b}.\frac{b^{2}+3b }{b-5}=\frac{b^{2}+3b }{2b}=\frac{b(b+3)}{2b}=\frac{b+3}{2}[/tex]

Step-by-step explanation:

Answer:

(b + 3)/2

Step-by-step explanation: