Answer:
The general plan is to find BM and from that CM. You need 2 equations to do that.
Step One
Set up the two equations.
(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32
BM^2 + CM^2 = 5^2 = 25
Step Two
Subtract the two equations.
(7 - BM)^2 + CM^2 = 32
BM^2 + CM^2 = 25
(7 - BM)^2 - BM^2 = 7 (3)
Step three
Expand the left side of the new equation labeled (3)
49 - 14BM + BM^2 - BM^2 = 7
Step 4
Simplify And Solve
49 - 14BM = 7 Subtract 49 from both sides.
-49 - 14BM = 7 - 49
- 14BM = - 42 Divide by - 14
BM = -42 / - 14
BM = 3
Step Five
Find CM
CM^2 + BM^2 = 5^2
CM^2 + 3^2 = 5^2 Subtract 3^2 from both sides.
CM^2 = 25 - 9
CM^2 = 16 Take the square root of both sides.
sqrt(CM^2) = sqrt(16)
CM = 4 < Answer
Step-by-step explanation:
Answer:
3x+85= 21
or, 3x= 85- 21
or, 3x= 64
or,x= 64/3
;. x= 21.3
Step-by-step explanation:
the value of x is 21.3
Answer:
B
Step-by-step explanation:
A doesn't repeat at all
B just repeats on the 3
C repeats on the 1 and 3
D repeats on the 5, 1, and 3
Answer:
51
Step-by-step explanation:
5 students travelled by car , leaving 158 - 5 = 153 students to travel by bus.
153 students travelled in 3 full buses, therefore
153 ÷ 3 = 51 students in each bus
Answer:
All real numbers
Step-by-step explanation:
Let's solve your inequality step-by-step.
−x2−6<0
Let's find the critical points of the inequality.
−x2−6=0
−x2−6+6=0+6(Add 6 to both sides)
−x2=6
−x2
−1
=
6
−1
(Divide both sides by -1)
x2=−6
x=±√−6(Take square root)
