Hello there!
The sum of two numbers (x + y) is 8 (=8).
Their product (x * y) is 15 (=15).
x + y = 8
x * y = 15
First, we know that the two number must be positive and under 8, as the product is positive.
Let's list out some numbers that are from 1 to 8 that sum up to 8;
1 + 7
2 + 6
3 + 5
4 + 4
Now, we need to multiply the two numbers that add up to 8, and see which makes a product of 15.
1 * 7 = 7, this does not work.
2 * 6 = 12, this does not work.
3 * 5 = 15, this works!
4 * 4 = 16, this does not work.
Since we are looking for the larger number in our pairs, let's pick the largest one out of the correct pair, which is 5.
The largest number is 5.
I hope this helps!
40 feet or 13 yards and 1 foot
using the conversion
1 yard = 3 feet then 1 yard 2 feet = 5 feet ← material for 1 pillow, hence
8 pillows require 8 × 5 = 40 feet
For this case we have the following expression:
We must evaluate the expression when:
Substituting the values we have:
Equal signs are added and the same signs are placed.
Different signs are subtracted and the sign of the major is placed:
Finally we have to:
Answer:
1. u must simplify 3^2 first because the order of operations states that u have to do exponents before subtraction.
2. 12 - 3^2 = 81......she subtracted the 3 first....12 - 3^2 = 9^2 = 81...which is an incorrect answer
3. u do not divide before simplifying 3^2.....order of operations states that u have to do exponents before division
4. no.....(12 - 3)^2 ......order of operations states that u do parenthesis before exponents...so (12 - 3)^2 = 9^2 = 81
Answer: 125.80 ft
Step-by-step explanation:
Asuming the described situation is as shown in the figure below, we need to find the distance 
between the kite and Jacks house, but first we need to find the 
, 
and then 
.
How?
We will use trigonometry, especifically the trigonometric functions sine and cosine:
For :
(1)
Where is the opposite side to the angle and 
the hypotenuse.
Isolating :
(2)
For :
(3)
Where is the adjacent side to the angle.
Isolating :
(4)
Finding :
(5)
(6)
Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house and the sides are the values calculated in (4) and (6).
So, in this case we will use the <u>Pithagorean theorem</u>:
(7)
Isolating and writing with the known values:
(8)
(9)
This is the distance between the kite and the house
