Answer:
9.6
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
Plug in the knowns
a² + 22² = 24²
Subtract 22² from both sides
a² = 24² - 22²
a² = 576 - 484
a² = 92
Take the square root of both sides
a = 9.591663046625438
Rounded
a = 9.6 ft
Answer:
Step-by-step explanation:
Solution by substitution method
3x-4y=8
and 18x-5y=10
Suppose,
3x-4y=8→(1)
and 18x-5y=10→(2)
Taking equation (1), we have
3x-4y=8
⇒3x=4y+8
⇒x=(
4y+8)/
3 →(3)
Putting x=
(4y+8
)/3 in equation (2), we get
18x-5y=10
18(
(4y+8)
/3) -5y=10
⇒24y+48-5y=10
⇒19y+48=10
⇒19y=10-48
⇒19y= -38
⇒y=-
38
/19
⇒y= -2→(4)
Now, Putting y=-2 in equation (3), we get
x=4y+8
x=
(4(-2)+8)
/3
⇒x=
(-8+8)/
3
⇒x=
0/
3
⇒x=0
∴x=0 and y= -2
Hey there!!
A chicken has 1 head and 2 feet . A goat has 1 head and 4 feet
For heads, total = 40
Let us take the number of chickens as ' x ' and goats as ' y '
x + y = 40 ------------- ( 1 )
2x + 4y = 150 ----------- ( 2 )
Multiply the first equation with 2
2x + 2y = 80
2x + 4y = 150
Subtract the first equation from the first
2y = 70
y = 35
Number of goats = 35
substitute this in other equation
x + y = 40
x + 35 = 40
x = 5
Number of chickens are 4
Hope it helps!
You multiply like terms first, which means -2/3x*-x. It becomes 2/3x*3y. The coefficient of x is 2/3. The coefficient of y is 3. You can’t combine them because they are not like terms with the variables.
I'm assuming the problem is nine to the third power divided by nine to the ninth power, so the answer would be 0.000001882. Fraction form would be 1/531441.
Sorry about the first answer, I read the problem wrong.
