MATHEMATICS HIGH SCHOOL

If you split a right angle with a ray going through the middle of the right angle, the two angles formed will be ______. Select one: a. Obtuse b. Vertical c. complementary

Answers

Answer 1
Answer:

Answer:

Complementary

Step-by-step explanation:

To be complementary, your two angles need to add up to 90 degrees

a right triangle is already 90 degrees so if you cut it through the middle they'd form complementary angles
Answer 2
Answer: ANSWER:
To be complementary rwo angles need to add up to 90.
If we cut a right angled triangle we will get complementary angles.
HOPE IT HELPS!!!!

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={125},={#125}andQ={#125},finda. ∪ b. ∩ c. d.
(8b2+6b-1) (8b2-8b+7)
Complete the table for the equation of the line y = 3x - 1 X f(x) -1 0 2

If a+b+c=0 for a,b,c then prove a²/bc+b²/ca+c²/ab=3.

Answers

according to the identity if a+b+c=0
then a3+b3+c3=3abc
a3+b3+c3/abc=3
a2*a/bc*a+b2*b/ca*b+c2*c/ab*c=3
cancel a,b,c in   all the fraction then you get
a²/bc+b²/ca+c²/ab=3. 
hence proved

A moving company had one seven of a ton of a weight to move across town. If they wanted to split it equally amongst 8 trip,how much weight they have on each trip?

Answers

so 1/7 divided by 8

equals to 1/ 56 tons per trip

Find the ninth term of the geometric sequence if a1 = 7 and r = 2

Answers

For the geometric sequence:
a n = a 1 * r^(n-1)
a 1 = 7
r = 2
a 9 = a 1 * r^8 =
= 7 * 2^8 = 7 * 256 = 1,792
Answer:
The ninth term of the geometric sequence is 1,792.

Answer:

The ninth term of the geometric sequence is 1,792.

Step-by-step explanation:

(x^2-10x+30) / (x-5)

NOT a fraction.

Answers

(x²-10x+30)/(x-5)

= (x²-10x+30)/(x-5)


I hope that's help !

DIFFERENTIAL EQUATIONS
Solve the differential equations.
dy = 4 − x
/
dx

Answers

anti derivative of 4 is 4x
anti derivative of -x is -1/2 x^2

so  y = 4x - (1/2)x^2 + C
(can't forget constants when doing anti derivatives xD)

is this what you need?

*edit
Anti-derivative of a Constant [just a number] becomes  (constant)*x
for example  integral of 5 = 5x + C

Then there is a Power Rule for integrals
integral of (x)^n = 1/(n+1) *(x)^(n+1) + C
for example: integral of  x^2 = 1/(2+1) * (x)^(2+1) + C = (1/3)*x^3 + C

We have dy/dx = (4-x) dx which is a first order linear ODE

dy = (4-x) dx. Now integrating both sides we get:

y = 4x - 1/2 x^2 + C

which is the answer. Note we only wrote +c once since we can combine arbitrary constants under addition and subtraction with each other.

Using FOIL, solve (t + 2bs^2) (2t-3bs^2) please show all the steps.

Answers

foil
first
outer
inner
last
example if you had
(x+y)(z+t)
first x times z
outer x time t
inner y times z
last y times t


so

FOIL
(t+2bs^2)(2t-3bs^2)
FIRST (t times 2t=2t^2)
Outer (t times -3bs^2=-3tbs^2)
Inner (2bs^2 times 2t=4tbs^2)
Last (2bs^2 times -3bs^2=-6b^2s^4)

now add
2t^2-3tbs^2+4tbs^2-6b^2s^4
add like terms (-3tbs^2+4tbs^2=1tbs^2=tbs^2)
2t^2+tbs^2-6b^2s^4
2t^2+-6b^2s^4+4bs^2t-3bs^2t

 so 2t^2-6b^2s^4+bs^2t is your answer 
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