X^2-16 is a difference of squares of the form:
(a^2-b^2) which always factors to:
(a+b)(a-b), in this case we have:
(x+4)(x-4), we are told that width is (x+4) so the length is:
(x-4)
It's the right angle. The circumcenter is in half of hypotenuse.
The formula of a midpoint of segment BC:
We have the points B(-2, -2) and C(7, -5). Substitute:
Answer: (2.5, -3.5)
Let x grams used for sweater.
Then since hat required 5 times less wool than sweater
wool used for hat = x/6 (since 5 times less)
Scarf wool=wool for hat - 5
= x/6 -5
Total wool used = wool for sweater + hat + scarf
= x+x/6+x/6-5
Given total wool used = 555 gms.
i.e. x+x/6+x/6-5 = 555
8x/6= 560
x = 560(6/8) = 420
i.e. For sweater = 420 gm of wool
for hat = 70 gm of wool
and for scarf = 65 gm of wool were used.
Step-by-step explanation:
-9x + 1 = -x + 17
collect like terms
-9x + x = 17-1
-8x = 16
divide both sides by -8
-8x/-8 = 16/8
x = 2
Answer:
There are 21 blue marbles
Step-by-step explanation:
In this question, we are asked to calculate the number of blue marbles in a bag that contains a total of 60 marbles, given the probability of choosing a blue marble.
Mathematically, the probability of choosing a blue marble can be represented as:
P(B) = number of blue marbles/ Total number of marbles
From the question, we can identify that P(B) is 0.35, number of Marbles is unknown while the total number of marbles is 60.
We insert these values in the equation;
0.35 = number of blue marbles/60
Hence, number of blue marbles = 60 * 0.35 = 21
