Find the area and perimeter of trapezium.

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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Answer:

Q6: B Q7: D Q8: C Q9: D Q10: A

Answer:

1560

Step-by-step explanation:

1200*0.075 = 90

1200+90+90+90+90

Answer:

$1,560

Step-by-step explanation:

7.5% of $1,200 is 90. 90 times 4 (as in 4 years) is 360.

$360 plus $1,200 is $1,560.

Answer: 2/15

Step-by-step explanation:Given the sequence An = {1, 3, 5, 7, 9},. (a) what is ... (a) The index of a3 is n = 3 so they're asking me for the third term, which is "5". ... To find the series sum, I'll be adding all the terms, like this: 2(0) + ... List the first four terms of the sequence {an} = {n2}, starting with n = 1. ... {12, 22, 32, 42}. = {1, 4, 9, 16} ... 2 – 4 + 6 – 8 + 10.

Answer: 53

Step-by-step explanation:

I really don't know how to explain.

Answer:

Answer: . Area of figure = area of squane + anea

of tringle =side * side + 1/2 xbagex height =7 * 7+

1/2 * 7 *

Approximately 8.47 cm² of the figure is painted green

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

To find the area painted green, we need to calculate the areas of the square and the triangle and then multiply by 14.2% (or 0.142).

The area of the square is simply the length of one side squared, so:

Area of square = (7 cm)² = 49 cm²

The area of the triangle is one-half the base times the height, so:

Area of triangle = (1/2)(7 cm)(3 cm) = 10.5 cm²

Therefore, the total area of the figure is the sum of the area of the square and the triangle:

Total area = 49 cm² + 10.5 cm² = 59.5 cm²

Finally, to find the area painted green, we multiply the total area by 14.2%:

Area painted green = 0.142 x 59.5 cm² ≈ 8.47 cm²

Therefore,

Approximately 8.47 cm² of the figure is painted green

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Answer:

y=-2x+17

Step-by-step explanation:

isolate the y and bring over the x so subtract 2x from both sides to get y=-2x+17

Answer:

$2.25

Step-by-step explanation:

$27.00 ÷ 12 Lbs. = 2.25 per Lb.

Check:

12 Lbs. × $2.25 = $27.00

Answer:

54cm^2

Step-by-step explanation:

You need to calculate area of the given figure. To solve this there are two figures together, triangle and rectangle.

first find area of rectangle given length = 8 cm and breadth = 4cm

therefore area of rectangle  = l * b = 8 * 4 = 32 cm^2

To find area of triangle:

The triangle itself is divided into two right angled triangle.

Now base of one right angled triangle will be 4/2 = 2cm

Area of rt. angled trangle = 1/2 * b*h = 1/2 * 2 * 11 = 11cm^2

Therefore area of whole triangle = 11*2 = 22cm^2 (since there are two rt.angled triangle)

Total area of given figure = 32 + 22 = 54 cm^2

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Answer:

71.915

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer: swap u and v I don't think w will change

Step-by-step explanation:

-

Step-by-step explanation:

27$

Answer:

1,664 square yards

Step-by-step explanation:

Given: A triangular prism is 20 yards long and has a triangular face with a base of 24 yards and a height of 16 yards. The other two sides of the triangle are each 20 yards.

Surface area of the triangular prism:

The formula to determine the surface area of the triangular prism is

SA= bh+PL

where base: b=24

height: h=16

length: l=20

Perimeter: P= 20+20+24= 64

Next we follow the steps of the formula and our equation is:

SA= (24x16) + (64x20)

24x16= 384     and    64x20= 1280

            384+1280= 1,664

SA= 1,664

the surface area of the triangular prism is 1664 square yards.

The correct answer is Point A' is located at (-5, -4).

When a point is reflected in the y-axis, its x-coordinate is negated and its y-coordinate remains the same. Therefore, the x-coordinate of point A changes from +5 to -5, and the y-coordinate remains -4. Hence, the coordinates of A' are (-5, -4).

Answer:

the percent change would be 40 percent

Step-by-step explanation:

think of 10 as a base so like 100 ok and you know if 50 of that is 50 percent 40 would just be forty percent

Answer:

16p-100

Step-by-step explanation:

All we have to do is evaluate this expression.

The first step is to distribute -10 among the numbers in the parenthesis:

20p-100

We got 20p-100 from first multiplying -10 to -2p, which the negatives would cancel out and get 20p, and -10 multiplied by 10, which gets you -100

The next step is to subtract the 4p from the entire expression:

20p-100-4p

Or, we can rearrange this expression to make it clearer: 20p-4p-100

=16p-100

Hope this helps :)

Answer:

Not sure what you are asking but on a number line negative is before positive

Step-by-step explanation:

Hello! If you provide specific problems you need help on in those topics, I'm sure someone can help you!

Answer:

Jaylan was 16

Step-by-step explanation:

16 + 15 + 14 + 13 + 12 + 11 + 10 are all of the consecutive ages of Jaylen, and her younger siblings when they moved to Chicago. Jaylen being the oldest, she must also be 16.

Answer:

The answer is 1/2

Step-by-step explanation:

Quadrilateral A'B'C'D' is half is large as quadrilateral ABCD, so the scale factor is 1/2.

Answer: 1/2

Step-by-step explanation: figure ABCD has a length of 4 and width of 8, figure A’B’C’D’ has a length of 2 and width of 4, showing 1/2 of the original dimensions

Answer:

the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis

Answer:

192 hours per day / 8 hours per person per day = 24 people

Step-by-step explanation:

Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:

720 person-days x 8 hours = 5,760 hours

To complete the project in 30 days, the total number of hours needed per day is:

5,760 hours / 30 days = 192 hours per day

No triangle is possible. The sum of the interior angles of a triangle must be 180°. However, the sum of the given angles is 100° + 10° + 90° = 200°, which is greater than 180°. Therefore, no triangle can be drawn with these angle measures.

Answer: 24 cubic units

Step-by-step explanation:

Height: 3* Length: 4* Width: 2= 24

Answer:

i wanna say you do 2 x 3 then you times that answer by 4 so 2x3 is 6 and 6x4 is 24? if thats what you wanted

Step-by-step explanation:

Check the picture below.

Answer:

Triangle:

In order for you to solve all of them you need to multiply the base times the height then divide that in half.

example answer;

3 is 68 because you multiply 17 by 8 then divide in half.

Decomposition of the trapezoid to find the area. You first need to separate the parts of the trapezoid that make a triangles. Ex: separate the outer parts so that you're left with triangle/s and a rectangle/square shape in the middle. Find the area of the triangles and the area of the middle square/rectangle and then add that together.

8. 171 I used this formula A=(a+b)h/2  Which is top length+bottom length times height divided by two.

Trapezoid area:

You need to add the top base and the bottom base together then multiply that by the height.

9. 396. I  used the same formula as the last one. which is A=(a+b)h/2.

I hope I could help you :)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation: