All categories

3 years ago

I need help with this question x2 - 16y2

Mathematics

1 answer:

lana66690 [7]3 years ago

5 0

A^2 - b^2 = (a+b) (a-b) where a = x and b = 4y

You might be interested in

Can some one please help on 26 and 27 please thank you

Marta_Voda [28]

Part 1)

Let's divide this problem into three shape and next we will compute the area for each shape:

(1) First triangle
(2) Rectangle
(3) Second Triangle

(1) The best known and simplest formula is:

$A_{1}= \frac{bh}{2}$

where b is the length of the base of the triangle, and h is the height or altitude of the triangle. Using trigonometry the base is given by:

$H= \frac{4}{sin(45)}=4\sqrt{2}$

$b=Hcos(45)=4\sqrt{2}cos(45)=4$

Therefore:

 $A_{1}= \frac{4\times 4}{2}=8cm^{2}$ 

(2) The area of a rectangle is given by:

$A_{2}=L1 \times L2 = 8 \times 4=32cm^{2}$

(3) This is also a triangle, so:

 $A_{3}= \frac{2\times 4}{2}=4cm^{2}$ 

The total are is:

 $A=A_{1}+A_{2}+A_{3}= (8+32+4) \rightarrow \boxed{A=44cm^{2}}$ 

Part 2)

If you know the lengths of the two diagonals of a kite, the area is half the product of the diagonals. So:

 $A= \frac{d_{1}d_{2}}{2}= \frac{10.2 \times 8}{2} \rightarrow \boxed{A=40.8ft^{2}}$

4 0

4 years ago

PLZ help thnx

Pepsi [2]

Answer:

A) $40

B) 40M = P

C) $3,120

Step-by-step explanation:

Given that at her salon, last week Tammy did 25 manicures and collected $ 1000, to calculate the slope to represent the manicures, write an equation to represent this relation and determine how much would Tammy make if she did 78 manicures in a month the following calculations should be performed:

1000/25 = X

40 = X

Thus, each manicure costs $ 40.

40M = P

78 x 40 = X

3.120 = X

So if she did 78 manicures in a month, Tammy would earn $ 3,120.

8 0

3 years ago

Match each system of equations to the inverse of its coefficient to the inverse of its coefficient matrix, A^-1, and the matrix

svet-max [94.6K]

Answer: Look st the picture below.

Step-by-step explanation: I got this right on Edmentum.

4 0

3 years ago

A cylindrical piece of iron pipe is shown below. The wall of the pipe is 1.25 inches thick: The figure shows a cylinder of heigh

Andreas93 [3]

Answer: 332 cubic inches

Step-by-step explanation:

You can eliminate 69 and 99 as those answers don't make any sense. This leaves you with 703 and 332.

It says the wall of the pipe is 1.25 inches thick so you multiply that by 2 and subtract it by the diameter to get the insider diameter of 5.5

Now you just use the equation V = (3.14)(r^2)(14) where the radius is half of 5.5.

So to finalize the equation you get V = (3.14)(5.5)^2(14) which comes out to 332 cubic inches

8 0

3 years ago

the temperature started at -65 degrees. It decreases at a constant rate of 45 degrees every hour. What is the slope m for the si

malfutka [58]

Y=-45x-65 The slope is -45

6 0

3 years ago