Find the value of x in the trapezoid below

Answer:

point form (-36,4) equation form x=−36,y=4

Step-by-step explanation:

-2x + 6 + 6x = 6 (2x - 3) this is the equation

-2x + 6 + 6x = 12x - 18 distributive property has been applied

4x + 6 = 12x - 18 like terms have been added

6 = 8x -18 4x has been subtracted from both sides

24 = 8x -18 has been added to both sides

3 = x 8 has been divided from both sides

I hope this helps! Let me know if I need to explain more or if I got something wrong. Have a nice day!

Answer:

The greatest y-intercept c = 6

Step-by-step explanation:

we know that

        slope-intercept form y = mx +c

a) Given that  f(x) = [tex]6x + \frac{1}{6}[/tex]

                       [tex]y = 6x + \frac{1}{6}[/tex]

   comparing    y = mx +c

  slope of the line m = 6 and Y - intercept c= 1/6

b)    Given that  f(x) = [tex]6x -6[/tex]

                        y = 6x -6

   comparing    y = mx +c

  slope of the line m = 6 and Y - intercept c= -6

c)

    Given that  f(x) = [tex]\frac{1}{6} x +6[/tex]

                        y =  [tex]\frac{1}{6} x +6[/tex]

   comparing    y = mx +c

  slope of the line m =  [tex]\frac{1}{6}[/tex]  and Y - intercept c= 6 ( greatest intercept)

d)

 Given that  6 k(x) = x

                     k(x) = [tex]\frac{1}{6} x[/tex]

                        y = [tex]\frac{1}{6} x[/tex]

   comparing    y = m x +c

 The slope of the line m =[tex]\frac{1}{6}[/tex]  and Y-intercept c=0

Final answer:-

The greatest y-intercept c = 6

Answer:

C. h(x)=1/6x+6

Step-by-step explanation:

Answer:

3 3/5 as an improper fraction = 18/5

Answer:

18/5

Step-by-step explanation:

To find the improper fraction change the whole number into a fraction:

3 *5/5 = 15/5 which is the same as 3

then add the remaining 3/5 to the fraction

15/5 + 3/5

= 18/5

Answer:

They're both the same

Answer:

70.24 is less then 70.240

Step-by-step explanation:

please follow me

Answer:

6

Step-by-step explanation:

3 - 5 = -2

4 - (-2) = 6

When subtracting a negative from a positive number you add them together to get you sum or difference.

Answer:

f(-7)= 21

Step-by-step explanation:

-(-7)^2-10(-7)

-7^2-10×-7

-49-10×-7

-49-(-70)

-49+70

21

Answer:

y=0x-1

Step-by-step explanation:

y=0(x)+c

-1=0(7)+c

-1=0+c

C=-1

Answer:

The interval of converges of a power series is the interval of input values for which the series converges.

Step-by-step explanation:

Answer:

x = 5.943

Step-by-step explanation:

Reference angle = 23°

Side opposite to reference angle = x

Adjacent side = 14

Therefore, we would apply TOA to find x.

Thus:

tan (23) = x/14

Multiply both sides by 14

14 × tan(23) = x

5.94264742 = x

x = 5.943 (to 3 decimal places)

Answer:

Claire has 16 stamps

Step-by-step explanation:

Proportions

If two variables are proportional, their ratio is constant. For example, the distance traveled by car is proportional to the time it travels at a constant speed. We write it as d:t=constant.

It's known the number of Claire's stamps to the number of John's stamps is 2:3 and John has 24 stamps.

This means the following relation must stand:

[tex]\displaystyle \frac{C}{J}=\frac{2}{3}[/tex]

Where C is the number of stamps of Claire and J is the number of stamps of John. We know J=24, thus:

[tex]\displaystyle \frac{C}{24}=\frac{2}{3}[/tex]

Solving for C:

[tex]\displaystyle C=24\cdot\frac{2}{3}[/tex]

C = 16

Claire has 16 stamps

2 inches : 8 feet

simplified scale:

1 inch : 4 feet

Answer:

Simplifying then comparing both terms

−5 and −3, −5 is less than −3, which means that the first term is less than the second term.  −5 < −3

Step-by-step explanation:

Hope this helps have a good day^^

Answer:

3

Step-by-step explanation:

x x6=18

x=3

Answer:

(18=6 times x)  you would divide both sides by 6 since inverse operations and to leave the x by itself. 18/6 is 3 so 3=x

Answer:

1250 m²

Step-by-step explanation:

Let x and y denote the sides of the rectangular research plot.

Thus, area is;

A = xy

Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.

Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;

2x + y = 100

Thus, y = 100 - 2x

Since A = xy

We have; A = x(100 - 2x)

A = 100x - 2x²

At maximum area, dA/dx = 0.thus;

dA/dx = 100 - 4x

-4x + 100 = 0

4x = 100

x = 100/4

x = 25

Let's confirm if it is maximum from d²A/dx²

d²A/dx² = -4. This is less than 0 and thus it's maximum.

Let's plug in 25 for x in the area equation;

A_max = 25(100 - 2(25))

A_max = 1250 m²

Answer:

a. 76 cm

b. 16 in.

c. 225 cm

Step-by-step explanation:

a. Converting 30 inches to centimetres:

When y(inches) = 30, x (centimetres) = 76

So, 30 in. = 76 cm

b. When x (cm) = 40, y (in.) = 16

So, 40 cm = 16 in.

c. Given that a fence is 7 ft 6 in. high, and 1 ft = 12 in., to find the height of the fence in cm, first convert the height to in.

Convert 7ft to inches:

If 1 ft = 12 in., then,

7 ft = 7*12 = 84 inches

The height of the fence in inches = 84 + 6 = 90 inches

Using the graph, find the unit rate using any point on the line, say (100, 40):

Unit rate = y/x = inches/centimeters =

Unit rate (m) = 40/100 = ⅖

Write an equation for the line:

To do this, substitute m = ⅖ into y = mx

Equation: y = ⅖x

Let's convert the height of the fence, 90 inches, to centimetres:

To convert to cm, substitute y = 90 into y = ⅖x

Thus:

90 = ⅖*x

5*90 = 2x

450 = 2x

Divide both sides by 2

450/2 = x

225 = x

Height of the fence in cm = 225 cm

Answer:

1 5/4

Step-by-step explanation:

Answer:

0.00175

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Fourth diagram represent the 14x²+21x in factored form is 7x(2x + 3)

A number system is defined as a system of writing to express numbers.

The given expression is 14x²+21x

Fourteen x square plus twenty one times of x.

x is the variable and plus is the operator.

14x²+21x

We need to take 7x as common from two terms.

When the quadratic expression is a product of two factors where each one is a linear expression, this is called the factored form.

Seven x is product of two times of x plus three.

7x(2x+3)

The fourth diagram represent the 14x²+21x in factored form is 7x(2x + 3)

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Answer:

sm[tex]prism M and Cylinder P\\[/tex][tex]Plato[/tex]

Step-by-step explanation:

Answer:

Not sure

Step-by-step explanation:

Answer:

the second is better deal

the unit rate for the better deal is $4.07

Answer:

A- Brady multiplied the first equation by 5 and the second equation by 3.

B- He can use elimination for his next step. 15y and -15y will cancel each other out, 20x-18x is 2x...50-48 is 2 so 2x=2 divide and x is 1

C- x=1 y=2

Step-by-step explanation:

Answer:

[tex]\frac{dr}{dh} =-\frac{r}{2h}[/tex]

Step-by-step explanation:

The volume of a cylinder is given by the formula:

V = πr²h,

Where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.

We are to express the rate of change of the radius of the clay with respect to the height of the clay in terms of height h and radius r.

That means we express dr / dh in terms of height h and radius r. To do this, we have to first differentiate the volume with respect to the height, i.e. find dV / dh:

V = πr²h

[tex]\frac{dV}{dh}= \frac{d}{dh} (\pi r^2h)\\\\\frac{dV}{dh}= \pi r^2 + 2\pi rh \frac{dr}{dh} \\\\The\ volume\ is\ constant\ hence\ \frac{dV}{dh}=0.\ We\ get\ that:\\\\0= \pi r^2 + 2\pi rh \frac{dr}{dh}\\\\- \pi r^2 =2\pi rh \frac{dr}{dh}\\\\ \frac{dr}{dh}=-\frac{\pi r^2}{2\pi rh}\\\\ \frac{dr}{dh}=-\frac{r}{2h}[/tex]:

Answer:

Radius, r = 26.57 cm and diameter = 53.14 cm

Step-by-step explanation:

Given that,

The circumference of a coin, C = 167 cm

We need to find the radius and the diameter of the coin.

The formula for the circumference of a circle is given by :

[tex]C=2\pi r[/tex]

Where

r is radius of coin

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{167}{2\pi}\\\\r=26.57\ cm[/tex]

Diameter, d = 2r

d = 2(26.57) cm

= 53.14 cm

Hence, this is the required solution.

Answer:

y=3x+4

Step-by-step explanation:

y=mx+b

m=3

b=4

just plug it in

Answer:

A. x is ⅓ of y

Step-by-step explanation:

x : y

= 1 : 3

Therefore,

x = 1

y = 3

If so x is 1/3 of y

Answer:

-19 1/9

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

5 = 3x - 4

9 = 3x

x = 3