Which table shows the same relationship as y = -x + 3x?

Pls help. !!!!!!!!!!!!!!!!!! (Give steps if you can)

kipiarov [429]

Answer:

$144 cm^{2}$

Step-by-step explanation:

Step 1: Find the true length of each side

We know that the perimeter is 56cm and the ratio of AD:AB:DC:BC is 5:12:6:5. It is safe to assume that this ratio is the simplified version, which means that if we multiply each of these numbers by a scale factor of $x$ , then we get the true length of each side, so we would get $5x, 12x, 6x, 5x$ for the sides. We also know that when we add these numbers, we get the perimeter, which is 56. So, we can create the equation $5x + 12x + 6x + 5x = 56$ . Then, solve the equation for x, which would be 2, and go back and multiply each number with 2 to get the following:

AD = 5*2 = 10cm, AB = 12*2 = 24cm, DC = 6*2 = 12cm, BC = 5*2 = 10cm

Step 2: Calculate the Height

Now we know the lengths of each side, lets take a look at the formula for the area of a trapezium: $\frac{base_{1} + base_2}{2}*height$ . So, the next step would be to calculate the height. We can draw the height by drawing a line straight down from the vertex D and another straight down from the vertex C. These lines are both the height, and will be the exact same length. We can calculate that the height is 8 because AB is 24 cm, but the length from the height at vertex D to the height at vertex C is 12 cm, so that means that the base of each triangle is 12/2 = 6 cm. Then we can use Pythagorean theorem to figure out that the height is 8cm.

Step 3: Calculate the Area

Lastly, we can calculate the area. The formula is $\frac{base_{1} + base_2}{2}*height$ . In this case, the numbers would be $\frac{12 + 24}{2} * 8 = 144cm^{2}$

I know this is a lot, so let me know if you have any questions!

6 0

1 year ago

Simplify the expression square root 100 over 49

Ilia_Sergeevich [38]

Just plug in the square root of 100 in your calculator (10) and then either leave it as 10/49 or simplify it to a decimal...depending on what your teacher is expecting from you.

5 0

2 years ago

HELPPPPP PLEASEEEEEE

Verdich [7]

A = 2(9*11) + 1/2(8*11) + 1/2(8 * 9)
A = 198 + 44 + 36
A = 278

Answer
B. 278 in^2

8 0

3 years ago

What is the length of the diagonal of the triangle?

Setler79 [48]

Answer:

21.25

Step-by-step explanation:

use the Pythagorean theorem, it is given that the shape is a rectangle so all opposite sides are congruent and all angles are right, since we know that the diagonal forms a right triangle we can use the pythagorean theorem

the Pythagorean theorm is a^2+b^2=c^2 where a and b are the legs (in this case the side of the triangle) and c is the hypotenuse which is the longest side in a right triangle

17^2+12.75^2=x^2

x^2=7225/16

now take the square root of both sides and you get -21.25 and 21.25

distance CAN NOT be negative so -21.25 isn't an option

7 0

3 years ago

How many distinct triangles can be drawn by using three of the seven dots below? (Two triangles are considered different if they

jeka57 [31]

Answer:

35triangles

Step-by-step explanation:

Given

Total distinct points = 7

If we are to form triangles using the dots,

Total points in a triangle = 3

Using the combination rule;

number of triangles formed = 7C3

7C3 = 7!/(7-3)!3!

7C3 = 7!/4!3!

7C3 = 7*6*5*4!/4!3!

7C3 = 7*6*5/6

7C3 = 7*5

7C3 = 35

Hence the amount of triangles that can be formed is 35triangles

5 0

3 years ago