Factor by grouping. Step by step appreciated
Factor by grouping. Step by step appreciated - 1

Answers

Answer 1
Answer:

Answer:

(x^2+8) ( y+4)

Step-by-step explanation:

x^2y + 8y+ 4x^2 +32

Splitting into two groups

x^2y + 8y+      4x^2 +32

Factor y out of the first group  and 4 out of the second group

y( x^2+8)    + 4(x^2+8)

Factor out (x^2+8)

(x^2+8) ( y+4)

Answer 2
Answer:

Answer:

(x^2+4)(y+3)

Step-by-step explanation:

x^2y+4y+3x^2+12

factor by grouping

=x^2y+4y + 3x^2+12

left. right

take common in left y and in right 3

=y(x^2+4) + 3(x^2+4)

now common term is (x^2+4)

=(x^2+4) (y+3) answer


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How to solve parabola

Answers

standard form: ax^2+bx+c

vertex form: a(x-h)^2+k

i hate parabolas. i can't remember the equation. sorry.

Forty-two is what percent of 70? A.21%

B.60%

C.74%

D.167%

Answers

60% is the answer you are seeking. 

Six students share 8 granola bars equally. How many granola bars does each student get?

Answers

Answer:

1 whole one and a third of one.

Step-by-step explanation:

1 1/3 of a granola bar

Answer: 1.33333333333 or 1.3 as a repeating decimal

Just divide 8 ÷ 6

What is the 51st term of the sequence below? -7,2,11,20

What is the 22nd term of the sequence below?
-9,-3,3,9

Answers

first determine whether arithmetic sequence or geometric

both seem to be arithmetic

first one
adds 9
starts with -7
an=a1+(n-1)d
a1=first term
d=common difference
an=-7+9(n-1)
51 term is
a51=-7+9(51-1)
a51=-7+9(50)
a51=-7+450
a51=443

51term is 443




adds 6 every times
starts with -9
an=-9+6(n-1)
22nd term
a22=-9+6(22-1)
a22=-9+126
a22=117
22nt term is 117

Which is the solution to the equation 2x+ 4= -8? A.) x= -2
B.) x= -8
C.) x= -6
D.) x= -1

Answers

x = -6


2x + 4 = -8

Subtract 4 to from sides
2x = -12

divide both sides by 2
x = -6

The correct answer is C. -6

2 x -6 + 4 = -8

Hope this helps

The Sine and Cosine RulesRight-angled triangle Trigonometry
Please note your working out with your answer, thank you.

Q11) A lifeguard on top of an observation tower 12.5m high notices a surfer in trouble at an angle of depression of 8 degrees. How far, correct to one decimal place, is the surfer from the tower?

Q13) A boat is 420m from the base of the cliff. The angle of depression of the boat from the top of the cliff is 28 degrees. Find the height of the cliff to the nearest metre.

Answers

Hello,
I am not doing that with sin, cos and pythagorean theorem.

DEFINITION: we call TAN x=sin x / cos x
This means that in a right triangle the tangent of an angle is the ration of opposed side by adjacent side.

11: tan 8°=12.5/d
==>d=12.5/tan 8°=12.5/0.14054...=88.942121...m≈88.9 (m)

12:
tan 28°=h/420
==>h=420*tan 28°=420*0.5317...=223.3179...≈223.3 (m)