The area of a trapezium is 147cm of the parallel sides and 5.3cm and 3.1cm long. Find the perpendicular distance between them.

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:

Honestly I can only think about Black Cat too.

Step-by-step explanation:

I know its not because I agree she is only in the comics, but I just don't have enough information. Like who is the main charactor.

Explanation:

Each set spans from 3 to 7 as the min and max. Since we're dealing with the same endpoints, we have perfect overlap.

Answer:

4(x+3)

Step-by-step explanation:

8(x+3)^2/2(x+3)

Rewriting

8(x+3)*(x+3)

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

2(x+3)

Canceling like terms

4(x+3)

----------

1

Answer :-

4( x+3)

step-by-step explanation :-

8 ( x + 3 )² /2 ( x + 3 )

Rewrite the equation

[tex] \small \sf \: \frac{8 ( x + 3 )² × ( 2 ( x + 3 )}{2(x + 3)} \\ [/tex]

cancelling like terms

4( x + 3) / 1

4 ( x + 3)

Answer:

42.39 yd²

Step-by-step explanation:

the sector area = (3π/4)/2π × 3.14 × 6²

= 3/8 × 3.14 ×36 = 42.39 yd²

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

Luca

Step-by-step explanation:

Juan 566/734 = 0.7711

Luca 7/9= 0.7777

Luca has a greater percentage

Answer:

true because OR is 90°.and and also PR is 90°.

Answer:

4/3 ÷ 2/5

= 4/3 × 5/2

= 4×5/3×2

= 20/6

= 10/3 = 3  1/3 or 3.3333

Answer:

    When you're given a line, you can find the rise over the run also known as the slope using a graph, calculating it using the formula, or using a table with two points you've been given from the line. Once you find the slope find the y-intercept which is the point at which the line intercepts with the y-axis of the cartesian plane. I also added some attachments of my own work and an explanation of slope.

Hope I helped have a nice day :)

Answer:

D 6

Step-by-step explanation:

The range is the values that y can take

The only value that y can take is 6

Answer:d 6

Step-by-step explanation:

Answer:

HOPE IT HELPED U .....

Step-by-step explanation:

a). f(5)= 2x +6

= 2 *5+6

= 10+6

=16

(b). g (9)= -12x+4

= -12*9+4

= -108 +4

=-104

(c). f(5)+f(9)= 16+(-104)

=-88

Answer:

Step-by-step explanation:

f(x)=2x+6

f(5)=2*5+6

f(5)=10+6

f(5)=16

g(x)=-12x+4

g(9)=-12*9+4

g(9)=-108+4

g(9)=-104

Answer:

Volume of the prism = 444 cm³

Step-by-step explanation:

Volume of the pyramid is given by the expression,

Volume = [tex]\frac{1}{3}(\text{Area of the base)}(\text{Height})[/tex] = 148 cm³

             ⇒ (Area of the base)×(Height) = 3×148

                                                                = 444

Since, area of the base and height of a prism are the same as pyramid,

Volume of prism = Area of the base × Height

                            = 444 cm³

Therefore, volume of the prism = 444 cm³

Answer:

TRUE

Step-by-step explanation:

The Time of day is skip counting by ten each time

EX: 1000-1010-1020-1030-1040- so on

[tex]\longrightarrow{\blue{105}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]3x \: (x - 2)[/tex]

Plugging in the value [tex]x\:=\:7[/tex] in the above expression, we have

➺ [tex] \: 3 \times 7 \: (7 - 2)[/tex]

➺ [tex] \: 3\times 7 \: (5)[/tex]

➺ [tex] \: 3 \times 35[/tex]

➺ [tex] \: 105[/tex]

[tex]\sf\purple{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer

-2c+5/6

hope it helps

Answer:

Step-by-step explanation:

The x and y intercepts occur when either x or y = 0

For the y intercept, x = 0

3(0) - 5y + 15 = 0

- 5y + 15 = 0                  Subtract 15 from both sides.

-5y = - 15                       Divide by - 5

-5y / -5 = - 15/-5

y = 3

For x intercept, y = 0

3x - 5(0) + 15 = 0

3x + 15 = 0                    Subtract 15 from both sides

3x = - 15                        Divide by 3

3x/3 = - 15/3

x = - 5

xintercept = (-5,0)

yintercept = (0,3)

Answer:

x = 134

Step-by-step explanation:

Exterior angle = sum of opposite interior angles

                      = 90 + 44 = 134

OR

Sum of angles of triangle = 180

that is,

90 + 44 +y = 180

y = 180 - 134

 y = 46

x + y = 180                [ straight line angles ]

x + 46 = 180

x = 180 - 46 = 134

Answer:

x = 134

Step-by-step explanation:

triangle sum theorem states that the sum of all angles within a triangle is equal to 180 degrees. using this we can figure out that the missing angle in the triangle is 46.

a straight line is also equal to 180 degrees, so to find the adjacent angle, we subtract 46 from 180, and we get 134

Answer:

m1:m2 = 6:7

y = 7 (Approx.)

Step-by-step explanation:

Given:

Dividing point (3, y)

Two points (9 , 8) , (-4 , 6)

Find:

Ratio

Value of y

Computation:

X = [(m1)(x2) + (m2)(x1)] / [m1 + m2]

3 = [(m1)(-4) + (m2)(9)] / [m1 + m2]

3m1 + 3m2 = -4m1 + 9m2

7m1 = 6m2

m1 / m2 = 6 / 7

m1:m2 = 6:7

Y = [(m1)(y2) + (m2)(y1)] / [m1 + m2]

y = [(6)(6) + (7)(8)] / [6 + 7]

y = [36 + 56] / 13

y = 92 / 13

y = 7.07

y = 7 (Approx.)

Answer:

HL (hypotenuse leg)

Step-by-step explanation:

From the diagram, we have two sides that are congruent

The side QS is common to both triangles

Also, we have it that the side PS and QR are congruent

What this mean is that we have two sides that are already the same

Now, looking at the right angle position in both, we can see that QR and PS represents the hypotenuse of individual right angles

Using the HL congruence statement, since we have it that the hypotenuse one side is already congruent, we can conclude that the last side too is congruent and as such both triangles are congruent to each one another

Step-by-step explanation:

a and b may be the correct answer

Answer:

Slope is -2

Step-by-step explanation:

(y2-y1) / (x2-x1)

(6-10) / (-10+12) = (-4)/(2) = -2

Answer:

x = 80

Step-by-step explanation:

Both angles together form 180, therefore x is 80

Answer:

x = 80

Step-by-step explanation:

100 and x form a straight line so they add to 180

x+100 =180

Subtract 100 from each side

x = 180-100

x = 80

Answer:

6.75L of fuel are needed

Step-by-step explanation:

To solve this question we need to convert the miles to km and the gallons to liters in order to find the km/L that the car is doing:

km -1km = 0.621371miles-

449.6miles * (1km / 0.621371 miles) = 723.56km

L -1L = 0.264172gal-

12.9gal * (1L / 0.264172gal) = 48.83L

km/L:

723.56km / 48.83L= 14.82km/L

The liters the car takes to go 100km are:

100km * (1L / 14.82km) = 6.75L of fuel are needed

Answer:

Step-by-step explanation:

Answer:

m ≥-6

Step-by-step explanation:

that is the procedure

Answer:

x=3

Step-by-step explanation:

5x + 12 = -3

5x = -15

x= 15/5

x=3

Answer:

5x+12=-3

5x=-15

x=-3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

48 minutes

Step-by-step explanation: Time taken is distance divided by speed, so 68/85 is 0.8. 0.8 is equal to 4/5. 4/5 of an hour is 48 minutes.

Answer:

it should be d or c

Step-by-step explanation: