X= # of birds
y= # of cats
EQUATION 1:
x + y= 52
EQUATION 2:
birds= 2 legs
cats= 4 legs
2x + 4y= 138
STEP 1:
Solve for one variable in equation 1
x + y= 52
subtract y from both sides
x= 52 - y
STEP 2:
substitute x value in equation 2
2x + 4y= 138
2(52 - y) + 4y= 138
104 - 2y + 4y= 138
104 + 2y= 138
subtract 104 from both sides
2y= 34
divide both sides by 2
y= 17 cats
STEP 3:
substitute y value in either equation
x + y= 52
x + 17= 52
subtract 17 from both sides
x= 35 birds
CHECK:
2x + 4y= 138
2(35) + 4(17)= 138
70 + 68= 138
138= 138
ANSWER: There are 17 cats and 35 birds
Hope this helps! :)
Hello!
So the problem is 2x-8 = 2(x-4). First off, let's perform the distributive property on the right side of the expression. 2 * x is 2x. 2 * -4 is -8. That makes the right side 2x-8. 2x - 8 = 2x-8, so nothing else needs to be done. Because both sides are identical, all real numbers are the solution.
If all you want is a horizontal shrink then the answer you choose should not be in brackets. The brackets will alter the way the graph looks.
That means that A and B are not correct.
If you have a graph where a>1 the graph will expand.
If you have a graph where a<1 but greater than 0 the graph will shrink.
y = 1/2 x^3 + 4 is the answer you want.
Just to show you the graphs, I have enclosed a graph of the three choices.
y = x^3 + 4 is red
y = 2x^3 + 4 is blue
y = (1/2) x^3 + 4 is green. The green one is the one you want.
Answer:
:)
Step-by-step explanation:
Answer:
The other leg of the triangle is 12.
Step-by-step explanation:
Given:
Hypotenuse of triangle is 13 and a leg(Leg1) is 5.
Let, the other leg of the triangle (Leg2) be
.
Now, putting the formula:

⇒ 
⇒
⇒
⇒
Taking square root both sides
⇒
⇒
.
Therefore, the other leg of the triangle is 12.