Answer:
x = 48
Step-by-step explanation:
14^2 + b^2 = 50^2
196 + b^2 = 2500
-196 -196
b^2 = 2304
√b^2 = √2304
b = 48
Answer:4/3x²+8x−20
Step-by-step explanation:Combine Like Terms:
=x+
4
3
x2+7x+−20
=(
4
3
x2)+(x+7x)+(−20)
=
4
3
x2+8x+−20
Answer:
a) P = 362880 ways
b) P = 2880 ways
Step-by-step explanation:
a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions
We have a permutation of 9 elements
P = 9!
P = 9*8*7*6*5*4*3*2*1
P = 362880 ways
b) Boys must seat together, we have two groups of people
4 boys they can seat in 4! different ways
P₁ = 4!
P₁ = 4*3*2*1
P₁ = 24
And girls can seat in 5! dfferent ways
P₂ = 5!
P₂ = 5*4*3*2*1
P₂ = 120
To get total ways in the above mentioned condition, we have to multiply P₁*P₂
P = 24*120
P = 2880 ways
Answer:
∠PQS= 3(x +5)
Step-by-step explanation:
∠PQR = 5x + 25
∠SQR+∠PQS= 5x+25
∠PQS = ∠PQR-∠SQR
∠PQS= (5x + 25 )-(2x + 10)
∠PQS = 5x+25 -2x-10
∠PQS= 3x +15
∠PQS= 3(x +5)
Answer:Where is the graph?
Step-by-step explanation: