What is the equation for the graph shown?

What Is The Equation For The Graph Shown?

Answers

Answer 1

Answer:

[tex]y = \frac{2}{3}x + 4[/tex]

Step-by-step explanation:

The rule for graphs is:

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

Where [tex]m[/tex] is the gradient and [tex]c[/tex] is the y-intercept (where the line crosses the y-axis)

We can work out c by looking at our graph.

Our line crosses the y-axis at (0, 4). So... [tex]c=4[/tex]

To work out our gradient of a straight line (which is what we have)

We use the formula:

[tex]m = \frac{\triangle y}{\triangle x}[/tex]

The triangle [tex]\triangle[/tex] just means the "change in" the coordinates between any two points.

To calculate the change in y, we can pick any two points on our line!

Let's go for (0, 4) and (-6, 0)

To work out the gradient:

[tex]m = \frac{\triangle y}{\triangle x} = \frac{0 - 4}{-6 - 0} = \frac{-4}{-6} = \frac{4}{6} = \frac{2}{3}[/tex]

Using our formula

[tex]y = mx + c[/tex]
[tex]y = \frac{2}{3}x + 4[/tex]


Related Questions

Sara is packing for vacation. She is taking three shirts: yellow (Y), white (W), , and green (G). She is also taking a pair of jeans (J), a pair of black pants , and a pair of shorts (S). For shoes, she is packing tennis shoes (T) and a pair of dress shoes (D). Each outfit will be made of shirt, pair of pants, and pair of shoes. Which list shows all possible outfits that Sara can create from these options?A. YJ,YB,YS,WJ,WB,WS,GJ,GB GS,TDB. YJ,YB,YS,YT,YD,WJ,WB,WS,WT,WD,GJ,GB,GS,GT,GDC. YBT,YBD,YST,YSD,WBT,WBD,WST,WSD,GBT,GBD,GST,GSDD. YJT,YJD,YBT,YBD,YST,YSD,WJT,WJD,WBT,WBD,WST,WSD,GJT,GJD,GBT,GBD,GST, GSD

Answers

The answer is C I think im not sure

Hello I need a little here with this

Answers

I may be wrong but I believe that <1=<2

HELP
Which speed is equivalent to 1/2 mile per hour?

Answers

the answer is b (brainly is omd)

Write the equation of the line through the points (-6, -19) and (2, 5).

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

The slope of a line passing through the two points

P = (x1. y1) and Q = (x2, y2) is given by

m= (y2-y1)/(x2-x1)

We have that x1= -6, y1= -19, x2= 2, y2= 5

m=3

Now, the y-intercept is b=y1 - mx1 (or b= y2 - mx2, the result is the same).

b= -19-(3)(-6)

b= -1

y = 3x - 1

The diagram shows a circle with centre
O.
A, B, and C lie on the circumference of
the circle.
X, A and Y lie on a tangent to the circle.
Work out:
(i) (ii) ABC
С
x
ö
163°
В
B
A69°
The diagram is not drawn accurately.
r
o
O
ACB =
=
.
0
LABCE
0

Answers

Answer:

This is my notes

Step-by-step explanation:

The value of angles are,

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A, B, and C lie on the circumference of the circle.

And, X, A and Y lie on a tangent to the circle.

Now, We get;

⇒ ∠XAC + ∠CAB + ∠BAY = 180°

⇒ 63° + ∠CAB + 69° = 180°

⇒ ∠CAB = 180 - 132

⇒ ∠CAB = 48°

Hence, We get;

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

Thus, The value of angles are,

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

Learn more about the circle visit:

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Can anyone help explaining step by step?

The height of a soccer ball in the air can be modeled by the equation h = -16t^2 +48f, where h is in feet of a ball that Cody kicks down the field.
How long is the ball in the air? (find the zeros).
What is the ball's max height? (find the vertex)
When will the ball reach its maximum height?

Answers

Answer:

3 seconds(0, 0), (3, 0)36 ft, (1.5, 36)

Step-by-step explanation:

As the problem statement suggests, the question of time in the air can be answered by finding the zeros of the function. Similarly, the question of the ball's maximum height can be answered by finding the vertex. These findings are related by the fact that the vertex is on the line of symmetry, which passes through the midpoint between the zeros.

__

(a)

The function can be factored as ...

  h = -16t(t -3)

At any zero, one of the factors must be zero. (This is the "zero product rule.") The factors are zero for t=0 and for t=3.

  The zeros are (0, 0) and (3, 0).

This tells you the height of the ball is zero initially (at t=0), and 3 seconds later (at t=3).

  The ball is in the air for 3 seconds.

__

(b)

The midpoint between the zeros is their average: (0 +3)/2 = 1.5. At that value of t, the ball will be at its maximum height.

  The ball will reach its maximum height at t=1.5 seconds.

Using the above factored form to find the height, we get ...

  h = -16(1.5)(1.5 -3) = 16(2.25) = 36 . . . feet

 The ball's maximum height is 36 feet.

_____

Additional comment

The x-coordinate of the vertex of quadratic ax²+bx+c is found at the value ...

  x = -b/(2a)

Here, that would be ...

  t = -48/(2(-16)) = 3/2

__

A graphing calculator can answer all of these questions quite rapidly.

I need help! How do you put this into factored form?

y= 6x^2 - 11x - 7

Answers

[tex]6x^2-11x -7\\\\=6x^2+3x -14x -7\\\\=3x(2x+1) -7(2x+1)\\\\=(2x+1)(3x-7)[/tex]

3. At the school dance the ratio of
students who bought snacks to the
students who did not buy snacks is 4 to 6.
Based on this ratio, how many of these
students would buy a snack if there were
a total of 180 students that attended the
dance?

Answers

Answer:

120 students did not buys a snack :)

Step-by-step explanation:

The easiest way to do this is divide :)

Now lets solve!!

180/6 = 30

Now we multiply!!

30 x 4 = 120

Have an amazing day!!

Please rate and mark brainliest!!

Eleanor is sewing a tablecloth for her circular kitchen table . The length from one edge of the table to the other 3ft. What is the minimum amount of fabric that Eleanor needs to purchase?

Answers

Answer:

[tex]7.07ft^{2}[/tex] or [tex]2.25\pi[/tex]

Step-by-step explanation:

To find the minimum amount of fabric, one needs to find the area of the table, the equation for the area of a circle is [tex]A=\pi r^{2}[/tex]

The question gives the length from one edge of the table to the other, this can also be defined as the diameter, the diameter is equal to double the raidus so dividing the diameter in half gives the radius.  The radius of this table is calculated to be 1.5 ft.

Plugging in our radius to the area equation we get [tex]A=\pi 1.5^{2}= 7.07ft^{2}[/tex] or [tex]2.25\pi[/tex]

Given the quadrilateral below, What is the value of x?​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

According to angle sum property of a quadrilateral, Sum of all angles of a quadrilateral measures 360°

So, let's solve for x ~

[tex]\qquad \tt \dashrightarrow \:68 + 126 + 106 + x = 360[/tex]

[tex]\qquad \tt \dashrightarrow \:300+ x = 360[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 360 - 300[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 60 \degree[/tex]

Someone help me out with this!!

Answers

Answer:

Missing Angle = 75 degrees

This answer may not be correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

The Missing Angle:

All of the angles add up to 180 since it is a triangle, so the equation is:

90 (the box aka right angle) + 15 + (the missing angle) = 180

Then, add 90 + 15 = 105. After that, do:

180 - 105 = 75 degrees (don't forget the label!)

I am so sorry, but unfortunately, I do not know the answer for finding the lengths of the sides x and y.

Answer:

75°, x = 49.69, y = 12.85

Step-by-step explanation:

The missing angle is complementary with given since the triangle is right.

90° - 15° = 75°

Use trigonometry to find x

cos 15° = 48/xx = 48/cos 15°x = 49.69 (rounded)

Use Pythagorean to find y

[tex]y=\sqrt{49.69^2-48^2} =12.85[/tex] rounded

PLEASE HELP ME WITH THIS!!!
Complete the sentence.
a figure but does not change its
A rotation is a transformation that
shape or size
A. flips
O B..dilates
O C. slides
O D. turns
SUBMI

Answers

Answer:

is TURNS

Step-by-step explanation:

A figure but does not change its shape and size is Turns.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items.

A flip is a geometric movement that involves turning an object over in a straight line to create a mirror image. The distance between each point on an object and its corresponding point on the picture is equal. A reflection is another name for a flip.

Thus, thus required transformation is Turns.

Learn more about Transformation here:

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What is the value of b?

Answers

Answer:

24

Step-by-step explanation:

In triangle STU, line VT bisects angle STU.

-> By angle bisector theorem:

[tex] \frac{67}{2b} = \frac{67}{b + 24} \\ \\ \implies \: \frac{1}{2b} = \frac{1}{b + 24} \\ \\ \implies \: 2b = b + 24 \\ \\ \implies \: 2b - b = 24 \\ \\ b = 24[/tex]

The value of b is 24

What is angle bisector theorem ?

If we consider a triangle TSU, Let the angle bisector of angle T intersect side SU at a point V between S and U. The angle bisector theorem states that the ratio of the length of SV to the length of VU is equal to the ratio of the length of ST to the length of TU.

i.e. [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

How to find the value of b ?

Here, given that, SV = 2b, VU = b+24, ST = TU = 67

∴ [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

⇒ [tex]\frac{2b}{b+24}=\frac{67}{67}[/tex]

⇒ [tex]\frac{2b}{b+24}=1[/tex]

⇒ 2b = b+24

⇒ b = 24

Hence, b = 24

Learn more about Angle bisector theorem here :

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SOMEBODY SOLVE THE EQUATION

Answers

Answer:

(the answer is in fraction form)

x= 2/3 , -5/2

Answer:

[tex]x=-\frac{5}{2} ,x=\frac{2}{3}[/tex]

Hope This Helps! :) Please Give Brainliest!

The value of (2i3)3 is
IS

Answers

Answer:

Assuming you mean (2^3)3, the answer is 24

Step-by-step explanation:

using pemdas you do 2 to the third power first

2x2=4 4x2=8

then you mutiply by the number not in parenthesis; 3

8x3 = 24

If the total profit per month is Rs 200,000 and the revenue per month can be obtained as twice

the cost per month minus 50,000, find the revenue and cost per month.

Answers

Answer:

200000×2

=R400 000 and minus 50000

=300000

Bame has a bag of $1 and $2 coins
The total mase of the coins is 71.4 grams
Bame knows that
• the mass ofa$1 coin is 9 grams and
* the mass of a $2 coin is 6.6 grams
What is the value of the coins in a bag

Answers

Answer:

$13

Step-by-step explanation:

9x + 6.6y = 71.4

6.6(4) = 26.4

71.4 - 26.4 = 45

9 / 45 = 5

$2 = 4

$1 = 5

$2 * 4 = $8

$1 * 5 = $5

$8 + $5 = $13

Don’t even know to be honest

A farmer has 160 ft. of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fencing along the river.

a) What are the dimensions of the field that has the largest area?

b) What is the maximum area?

Answers

Answer:

L and B be the dimensions of field.

L+2B =2400ft.

AreaA = L×B=L×(2400-L)/2=1200L-L^2

For max.area to use the fencing dA/dL=1200-2L=0 or L=600ft

B=(2400-600)/2=900ft.

Total area = 540000ft^2.

Maybe?

Step-by-step explanation:

Quora

Which of the following is most likely the next step in the series?
od
ОА
O
O B.
OC.
OD.

Answers

The circles in the figures form a series

The next step in the series is (B)

How to determine the next step?

From the figure, we have the following highlights

The first circle has 2 segmentsThe second circle has 4 segmentsThe third circle has 5 segments

Using the above pattern, the next circle must have 6 segments

Hence, the next step in the series is (B)

Read more about series at:

https://brainly.com/question/6561461

NO LINKS!

Bob knew that he was standing 50 feet from the base of a flag pole and was looking up at a 25° angle. How tall the flag pole? ​

Answers

Your answer is 23.31538291 feet.

Perpendicular we need(Let it be P

Base=B=50ft

So

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tan25=\dfrac{P}{50}[/tex]

[tex]\\ \rm\Rrightarrow P=50tan25[/tex]

[tex]\\ \rm\Rrightarrow P=23.31ft[/tex]

PLEASE HELP PLEASE PLEASE HELP PLEASE

Answers

Answer:

Start are cooler when in the color Red.

Step-by-step explanation:

Answer:

the answer would be red

Step-by-step explanation:

Find the area of the triangle.
16 ft
62 ft

Not drawn to scale.

A. 496 ft2

B. 248 ft?

C. 78 ft2

D. 37 ft2

Answers

Answer:

A. 496 ft2

Step-by-step explanation:

area of a triangle is

1/2 times base times height

1/2 times 16 times 62 =

496

Please help
(Also show work) and its volume not SA

Answers

Answer:

75 inches cubed

Step-by-step explanation:

V=lwh

2 1/2 = 2.5

4 = 4

7 1/2 = 7.5

2.5 x 4 x 7.5=75

75 cubic inches

Consider the line y=7x-1.
Find the equation of the line that is perpendicular to this line and passes through the point (-2, 4).
Find the equation of the line that is parallel to this line and passes through the point (-2, 4).
Note that the ALEKS graphing calculator may be helpful in checking your answer.

Answers

Answer:

Step-by-step explanation:

valerie drives 500 meteres up a hill that makes an angle of 15 degrees with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?

Answers

Answer:

Answer:

The horizontal distance she has covered is:

x = 483.0m

Step-by-step explanation:

For further info look at this : https://brainly.com/question/9437065

What is the smallest number which is reversed when 2 is added to its double?

Answers

Answer:

25

Step-by-step explanation:

Let the number be 10x+y.

So we have 2(10x+y)+2 = 10y+x, or

20x + 2y + 2 = 10y+x, or

19x=8y-2 …(1)

Try different values of x which satisfy (1) giving an integer value of y. Moreover x should be less than y. The only value of x is 2 which gives us y = 5.

So y = 5 and x = 2.

And the answer is 25.

We can prove this by simply doing the question's equation:

50(since it's the double of 25) + 2 =

50+2= 52

Hope this helps

What is the value of (-4)-3?
1
64
О.

1
12
64
ОО
1
12

Answers

Answer:

Answer is -1/64

Step-by-step explanation:

Mark me the brilliant

Which diagram is NOT a good model of 3÷1/4?

Answers

Answer:

The diagram with three triangles is not a good representation.

The other diagrams have three parts divided into 4 places. The diagram of the triangles only has 3 parts in each of the three triangles. The equation for that would be 3 divided by 1/3.





Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Convert 1/5 to the neatest tenth

Answers

Answer:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

1 / 5 = 0.20

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 20

Now, we will make the Fractional Part just one digit (nearest tenth) by using our rounding rules.*

In this case, Rule I applies, so 1/5 (or 0.20) rounded to the nearest tenth in decimal format is:

0.2

Answer:

1.1

Step-by-step explanation:

If the digit after tenth is greater then or equal to 5, add 1 to the tenth.

Which of the following techniques will provide the most consistently correct result?

Answers

Please there are no options to be chosen from
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