Answer:
B, C, and E
Step-by-step explanation:
<u>Simplify all answer choices:</u>
A.
5(2x+10)+1=
10x+50+1=
10x+51
B.
7(x+2)+3x-3=
7x+14+3x-3=
10x+11
C.
3(3x+4)+x-1=
9x+12+x-1=
10x+11
D.
2(6x+4)+2x+5=
12x+8+2x+5=
14x+13
E.
2(6x+5)-2x+1=
12x+10-2x+1=
10x+11
Answer choices B, C, and E simplify to 10x+11
The area is the average of the 2 heights times the base, which is:
(24+16)/2*19.2=384 in^2=D
It would be 20 points bcuz it says each week it costs 20 points for unlimited bus rides
Answer:
a = 29
b = 64
c = 87
Step-by-step explanation:
Let the angles be a (smallest), b, and c (largest).
We know that a triangle's angles must add up to 180 degrees, so we can construct the following equations.
a + b + c = 180
c = 3a
b = a +35
With some solving and substitution...
a + (a + 35) + c = 180
2a + c = 145
2a + (3a) = 145
5a = 145
a = 29
and therefore,
b = 29 + 35 = 64
c = 3(29) = 87
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
