find the length of side x in simplest radical form with a rational denominator.

Answer:

y = 5/2x + 6

Step-by-step explanation:

Find the slope:

[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{11-21}{2-6}\\\\m=\frac{-10}{-4}\\\\m=\frac{5}{2}[/tex]

Use point-slope form to find the equation in slope-intercept form:

[tex]y-y_1=m(x-x_1)\\\\y-11=\frac{5}{2} (x-2)\\\\y-11=\frac{5}{2}x-5\\\\y=\frac{5}{2}x+6[/tex]

The equation of the line for the function will be y = 5/2x + 6.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the graph of a linear function passes through points (2, 11) and (6,21).

Slope = ( 21 - 11 ) / ( 6 - 2 )

Slope = 10 / 4

Slope = 5 / 2

The y-intercept will be calculated as:-

y = mx + c

y = ( 5 / 2 )x + c

11 = ( 5 / 2 ) x 2 + c

c = 11 - 5

c = 6

The equation of the line will be:-

y = mx + c

y = (5/2)x + 6

To know more about an equation of the line follow

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Answer:

Step-by-step explanation:

Let the number of cucumber = x

And the cost of the cucumber = y

Cost of the cucumber will be directly proportional to the number of cucumbers.

y ∝ x

y = kx [Here, k = proportionality constant]

Since, market sells 3 cucumbers for $1.2

1.2 = k(3)

k = 0.4

Therefore, equation for this situation will be,

y = 0.4x

Part A

If x = 1,

y = 0.4(1)

  = 0.4

For x = 2,

y = 0.4(2)

  = 0.8

For x = 3,

y = 0.4(3)

  = 1.2

Number of cucumbers            Cost($)

          1                                          0.4

          2                                         0.8

          3                                          1.2

Part B

Equation representing relation between number of cucumbers and the cost will be,

y = 0.40x [Option A]

Answer:

4.5 miles per hour

Step-by-step explanation:

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Distance = 3/4 of a mile

Time taken on Monday = 1/6 of an hour.

What is Selma's unit rate in miles per hour for Monday's run?

Unit rate in miles per hour for Monday's run = distance ÷ time taken

= 3/4 ÷ 1/6

= 3/4 × 6/1

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

= 18/4

= 4.5 miles per hour

Unit rate in miles per hour for Monday's run = 4.5 miles per hour

Answer:

153.86

Step-by-step explanation:

So first off, what is the formula for finding area of a circle?

Its [tex]\pi r^{2}[/tex]

We know that r(radius), is the distance from one point of the circle to its center.

In this case it is 7.

Note that in other cases, you might see a line going strait through the middle of the circle.

This is the diamater, and is 2x the radius. If you see the diamater, divide it in half, and you will find radius.

Now, back to the problem.

We know our radius is 7, so lets plug that into [tex]\pi r^{2}[/tex]:

[tex]\pi *7^{2}[/tex]

=

[tex]\pi *49[/tex]

=

153.93

So tecnically, this test is wrong. THe actual answer is .07 bigger than what they give.

However, it is the only possible answer, so it is correct.

Answer:

153.86

Hope this helps!

Answer:

7 inches

Step-by-step explanation:

area of square=l^2

49=l^2

[tex]\sqrt{49[/tex]=l

7=l

therefore the sides of a triangle is 7 inches.

Answer:

7

Step-by-step explanation:

So to find this you know a square has 4 equal sides. The area is 49, and area is side length multiplied by side length. So what number multiplied by itself is 49? 7 x 7=49!

Answer:

whats the question..........

Answer:

x = 15

Step-by-step explanation:

(5x-3)=(3x+27)

Subtract 3x from each side

(5x-3x-3)=(3x-3x+27)

2x-3 = 27

Add 3 to each side

2x-3+3 = 27+3

2x= 30

Divide by 2

2x/2 = 30/2

x = 15

Answer:

The third number is 11

Step-by-step explanation:

First, you multiply 15 by 3 to get the sum(45) and then you add 18 and 16 to get 34. Lastly, you will minus 45 and 34 and your answer will be 11.

i think D is the answer 16

Answer:

about (-3,1.5)

Step-by-step explanation:

Hope this helps!

answer:

the answer is going to be ½

Step-by-step explanation:

it might be the last one

may it helped u

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

Answer:

b

Step-by-step explanation:

<ABC refers just to angle B. Angle B is on the opposite side of 98 therefore we would have to divide it by two. 98 divided by 2 is 49

Answer:

B) y=6x

Step-by-step explanation:

Answer:

This question cannot be solved.

Step-by-step explanation:

because they have different

Answer:

15

Step-by-step explanation:

Since, triangle ABC is the enlargement of triangle XYZ.

[tex] \therefore \triangle ABC \sim \triangle XYZ[/tex]

So, corresponding sides of both the triangles would be in proportion.

[tex] \therefore \frac{x}{6}=\frac{25}{10}[/tex]

[tex] \therefore x= \frac{6\times 25}{10}[/tex]

[tex] \therefore x =\frac{150}{10}[/tex]

[tex] \therefore x = 15[/tex]

Answer: Cause why not?

Step-by-step explanation:

[tex]3(4x-1)=-2x+19+8x-4[/tex]

First combine like terms:

[tex]3(4x-1)=(-2x+8x)+(19-4)\\\\3(4x-1)=6x+15[/tex]

Now distributive property

[tex](3)(4x)-(3)(1)=6x+15\\12x-3=15+6x[/tex]

Additive Property of Equality

[tex]12x-3+3=15+6x+3\\12x=18+6x[/tex]

Subtractive Property of Equality

[tex]12x-6x=18+6x-6x\\6x=18[/tex]

And finally Division Property of Equality

[tex]\frac{6x}{6} =\frac{18}{6} \\x=3[/tex]

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

The correct answer is D.

A, B, and C are incorrect. <3

Hope this helps!

- Madeline

Answer:

Step-by-step explanation:

radius, r = 7 cm

[tex]Area = \pi r^2 = \pi \times 7^2 = 49 \pi = 153.94 \ cm^2\\\\Perimeter = 2 \pi r = 2 \pi \times 7 = 43.98 \ cm[/tex]

Answer:

The answer is B) 2 scoring attempts per game.

Answer:

Value of opposite ∠2 = 120°

Step-by-step explanation:

Given question:

Quadrilateral inscribed in a circle

Value of ∠1 = 60°

Find:

Value of opposite ∠2

Computation:

In Quadrilateral inscribed in a circle, sum of opposite angle is 180

So,

Value of ∠1 + Value of ∠2 = 180°

60 + Value of ∠2 = 180

Value of ∠2 = 180 - 60

Value of ∠2 = 120

Value of opposite ∠2 = 120°

Answer:

c = 4n

Step-by-step explanation:

Answer:

option b) -2/5

Step-by-step explanation:

Using the rule :

             [tex]\sqrt[3]{a^3} = (a^3)^{\frac{1}{3}} = a[/tex]

             [tex]\sqrt[n]{-x} = - \sqrt[n]{x} , if \ n \ is \ odd[/tex]

[tex]\sqrt[3]{-\frac{8}{125}} = \sqrt[3]{-\frac{2 \times 2 \times 2}{5 \times 5 \times 5}} = -\frac{2}{5}[/tex]

Answer:

[tex]\sqrt[3]{-\frac{8}{125} }[/tex]

So, your answer is B) - 2/5

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

hope it helps...

have a great day!!

Answer:

the length of the other sides are

4 m and 5 m

Step-by-step explanation:

the area of right triangle = ½× b x h = 6

let b = 3m => h= 2×6/ 3 = 4m

and the hypotenuse = √3²+4²=√25= 5m

Answer:

5m and 4m

Step-by-step explanation:

(area of a right angle triangle)=1/2×b×h

let b = 3m

1/2×6×2=6×2=12/3=4m

and it's hypotenuse= 3

[tex]3 { }^{2} + 4 {}^{2} = \sqrt{25 {}^{2} } [/tex]

= 5m

sorry but can u show a picture of y?

Answer:

but where is que plz show your que

Answer:

2760

Step-by-step explanation:

23 multiply by 120

=2760

Answer: 2, 3, 4

Step-by-step explanation:

In the table graph provided, you will a column that has "x" as it's title. Under x, 4, 8, and 12 should listed. You figure out the answers for y by inputting the x value into the rule: y = 1/4x + 1.