9514 1404 393
Answer:
C. 3√2 units
Step-by-step explanation:
The diagonal of a square is √2 times the side length. For a square with side length 3, the diagonal is 3√2.
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If you like, you can see this using the Pythagorean theorem.
d² = s² + s² . . . . . where d is the diagonal, and s is the side
d² = 2s²
d = √(2s²) = s√2
For s=3, ...
d = 3√2
Complentary angles add to 90 degrees
a and b are complentary
a+b=90
a=7x+4
b=4x+9
so
7x+4+4x+9=90
combine like terms
11x+13=90
minus 13 both sides
11x=77
divide both sides by 11
x=7
m a =7x+4=7(7)+4=49+4=53
m b=4x+9=4(7)+9=28+9=37
angle a measures 53 degrees
angle b measures 37 degrees
To find the slope, u need to put the equation in y = mx + b form, where m will be ur slope.
2x - 4y = 10 ... subtract 2x from both sides
-4y = -2x + 10...divide both sides by -4
y = (-2/-4)x + (-10/4)
y = 1/2x - 5/2
y = mx + b
y = (1/2)x - 5/2
the slope(m) = 1/2
Answer:
Step-by-step explanation:
Suppose the base formula is y = x^2
You want to go two units left.
basically that is y = (x + 2)^2 just the opposite of what you might think it should be.
Where does the base function have a minimum? It's minimum is as x = 0 and y = 0
Where does y = (x + 2)^2 have it's minimum?
(-2,0)
conclusion. The base function has moved 2 units to the left.
Answer:
see explanation
Step-by-step explanation:
Let c represent the number of children, then
number of men = 4c and number of women = 2c
Sum the numbers of each and equate to 266
4c + 2c + c = 266, that is
7c = 266 ( divide both sides by 7 )
c = 38
Thus
4 × 38 = 152 and 2 × 38 = 76
The group consists of 38 children, 152 men and 76 women
