A true
because 53•(41•11)=23,903 and (53•41)•11=23,903
Hope this helped
Answer:
EB = 10
Step-by-step explanation:
For this problem, you can use the power of a point, in the situation where two secants intersect in the interior of a circle. The formula is as follows:
CE * ED = AE * EB
(This is applied specifically to this problem)
We can substitute the values given,
5 * (x - 4) = 3 * x
simplify,
5x - 20 = 3x
and solve.
2x - 20 = 0
2x = 20
x = 10
Since the value of EB is x, EB = 10.
<u>Answer:</u>
The height of the ladder is 14.491 feet
<u>Explanation</u>:
Given the height is 11 feet
Base = 7 + 2 = 9 feet
Consider the ladder to be the hypotenuse
Applying Pythagoras Theorem,

Substituting the values in the above formula,
= 112 + 92
= 121 + 81
= 210
H = sqrt(210)
H = 14.491
Therefore, the height of the ladder is 14.491 feet
8 out of 52. There are 4 nine cards and 4 heart cards. There are 52 cards in the standard deck. So it is an 8 out of 52 chance that you will choose either a heart or a nine.
Answer:
-3/2
Step-by-step explanation:
y=mx +b
where m is the slope and b is the y intercept
we just need to rewrite 3x+2y+18=0 to look like that
We need to get y by itself
3x+18= -2y
we need y to be positive and to have no number in front of it (no coeficcent)
y= -3/2x-9
the slope is therefore -3/2