4 sqrt(400) / 4 sqrt(5)
sqrt(400) =20
4 *20
--------
4 sqrt(5)
the 4's on the top and bottom cancel
20
--------
sqrt(5)
I was taught never to leave a sqrt in the denominator
so you need to multiply by sqrt (5) in the numerator and the denominator
20* sqrt(5)
--------
sqrt(5)* sqrt(5)
20* sqrt(5)
--------
5
= 4 sqrt(5)
Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
Answer:2x3+12x2+10x−24Explanation:The product of these expressions 'means' to multiply them. hence : (x + 3 )(2x2+6x−8) Each term in the 2nd bracket must be multiplied by each term in the 1st.This can be achieved as follows.x(2x2+6x−8)+3(x2+6x−8[2x3+6x2−8x[6x2+18x−24]=2x3+6x2−8x+6xx−24 collect 'like terms'=2x3+12x2+10x−24 is in standard form
Answer:
8 seconds
Step-by-step explanation:
The length of the water slide is 376 feet and Lainey is sliding down at a rate of 47 feet per second. That is her speed.
Speed is given as distance divided by time or the time rate of displacement.
Therefore, time is:
Time = distance / speed
Therefore, the time it will take Lainey to get from the top to the bottom is:
Time = 376 / 47 = 8 seconds
It will take her 8 seconds to get from the top to the bottom.
Answer:
Step-by-step explanation:
Diego is correct they have to be similar
