So for this, we will be applying the <u>zero product property</u>, which is <u>"if a x b = 0, then either a = 0 or b = 0 or both a and b = 0"</u>. In this case, a = x + 13 and b = x - 7. Solve them separately:
<u>Your answer is x = -13 and 7.</u>
Answer:
The area of the square adjacent to the third side of the triangle is 11 units²
Step-by-step explanation:
We are given the area of two squares, one being 33 units² the other 44 units². A square is present with all sides being equal, and hence the length of the square present with an area of 33 units² say, should be x² = 33 - if x = the length of one side. Let's make it so that this side belongs to the side of the triangle, to our convenience,
x² = 33,
x = 
.... this is the length of the square, but also a leg of the triangle. Let's calculate the length of the square present with an area of 44 units². This would also be the hypotenuse of the triangle.
x² = 44,
x = 
.... applying pythagorean theorem we should receive the length of a side of the unknown square area. By taking this length to the power of two, we can calculate the square's area, and hence get our solution.
Let x = the length of the side of the unknown square's area -
= 
+ 
,
x = 
... And squared is 11, making the area of this square 11 units².
ANSWER
Find out the how many cans does each one have.
To proof
As given
Amelia and Elliott are collecting empty soda cans for recycling
Amelia has 13 less than 5 times the cans that Elliott has.
let us assume that the Elliott has can be =x
Amelia can = 5x -13
Total can = 257 cans
than the equation becomes
x + 5x - 13 = 257
6x = 257 +13
6x = 270
x = 45
Elliott has can be = 45cans
Amelia can = 5 × 45 - 13
= 212cans
Hence proved
9514 1404 393
Answer:
- 2/5 cups oats per cup water
- 2.5 cups water per cup oats
Step-by-step explanation:
The denominator of the fraction is the unit you want 1 of.
(6 cups oats)/(15 cups water) = (6/15) cups oats/(1 cup water)
= (2/5 cups oats)/(1 cup water)
1 cup of water would need 2/5 cups of oats.
__
Obviously, the other ratio is the reciprocal of this.
(1 cup water)/(2/5 cups oats) = (5/2 cups water)/(1 cup oats)
1 cup of oats would need 2.5 cups of water
Answer: D) -304
Step-by-Step Solution:
=> f(x) = 5x - 1
=> g(x) = 2x^2 + 1
=> Find value of (f * g)(-3)
First Substitute x as -3 in f(x) and g(x) :-
f(x) = 5x - 1
f(-3) = 5(-3) - 1
f(-3) = -15 - 1
=> f(-3) = -16
g(x) = 2x^2 + 1
g(-3) = 2(-3^2) + 1
g(-3) = 2(9) + 1
g(-3) = 18 + 1
=> g(-3) = 19
Now Multiply f(-3) with g(-3) :-
= f(-3) * g(-3)
= -16 * 19
=> -304
Therefore, (f * g)(-3) = -304
