MATHEMATICS HIGH SCHOOL

Solve the system of equations algebraically. Show all of your steps.
y=x^2+2x
y=3x+20

Answers

Answer 1
Answer: do you have to get both x and y?
Answer 2
Answer:

Answer:

x = -4

Y = 8

Step-by-step explanation:

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Give the coordinates of a shape that can be rotated about the y-axis to create a cylinder.

Answers

It's the rectangle, if we rotate it about y-axis, it would create a cylinder..

Liam has a bag of b beads. He gives 20 beads to his sister. He then makes 4 necklaces with the same number of beads on each necklace using all of the remaining beads. Write an expression that represents the number of beads on each necklace. Show your work.

Answers

The expression in one variable b that shows the number of beads on each necklace is (b-20)/4

What is an expression in one variable?

An expression in one variable is a statement formed by the using constants and an unknown variables and mathematical operators but sign is equal to is not used. Expression in one variable is linear if the power of the unknown variable is equal to one .

Standard form of linear expression in one variable x is  ax +b , where a and b are constants .

Given that Liam has a bag of b beads

He gave 20 beads to his sister

Then, remaining beads = b -20

Remaining beads are used to make 4 necklaces

Let the beads on each necklace be x

Then beads in four necklaces = 4x

As, Remaining beads = beads in four necklaces

⇒4  x = b - 20

Dividing the equation by 4 on both sides

⇒ x = (b-20)/4

∴ The expression that shows the number of beads on each necklace is (b-20)/4

Also, Learn more about the expressions in one variable from the link below:

brainly.com/question/17272650

#SPJ1

Answer:

5

Step-by-step explanation:

just do 20 divided by 4 and you will get 5. Also, do 5x4 to make sure you let your teacher know that you got the right answer.

Create a list of steps, in order, that will solve the following equation.3(x + 1)2 = 108

Solution steps:

- Add 1 to both sides

- Divide both sides by 3

- Multiply both sides by 3

- Subtract 1 from both sides

- Square both sides

- Take the square root of both sides

PLSS HELP!!

Answers

Take a to be the first choice and so on
The order is b,f,d
Umm...I could really use up all the steps but hope it helps
Please mark as brainliest

Which is the better buy on hamburger meat?2 lbs. for $4.50
3 lbs. for $6.90
Click on the correct answer.

Answers

Answer:

2 lbs. for $4.50

Step-by-step explanation:

Do a ratio

2 : 4.50

You want to see how much it cost per pound, so divide them by 2

2 ÷ 2 : 4.50 ÷ 2

1 : 2.25

So per pound, the hamburger will cost $ 2.25

________________________________________________________

3 : 6.90

You want to see how much it cost per pound, so all you need to do is divide them by 3

3 ÷ 3 : 6.90 ÷ 3

1 : 2.3

So for the first one, it cost 2.25 per pound, and for the second one, it cost 2.3 per pound....the one that is better will be 2.25 because it cost 5 cents less than the second one

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Simplify completely the quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.the quantity 3 times x to the third power plus 5 times x plus 2 all over x
3x3 + 5x + 2
3x2 + 5x2 + 2x
3x5 + 5x3 + 2x2

Answers

Answer:

(A) 3x^3+5x+2

Step-by-step explanation:

To Simplify:  The quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.

Solution: The given statement can be easily rewritten as:

The quantity 3 times x to the 4th power=3x^4,

5 times x to the 2nd power=5x^2 and

2 times x =2x

Thus, according to the statement, the expression can be written as:

(3x^4+5x^2+2x)/(x)

⇒3x^3+5x+2

which is the required simplified expression.

Thus,option A is correct.

Answer:

A:    3^3 + 5x + 2/x

Step-by-step explanation:

You have this information about ΔABC, ΔDEF, and ΔGHI:AB = DF

AB = GI

BC = HI

DE = HI

m∠B = m∠D = m∠I

Which triangles must be congruent?
ΔABC and ΔDEF only

ΔGHI and ΔABC only

none of the triangles
ΔABC, ΔDEF, and ΔGHI

Answers

ΔABC, ΔDEF, and ΔGHI

I think all triangles are congruent. 2 sides and 1 angle of each triangle is has the same measure. Making these triangles congruent in SAS theorem.

Answer: ΔABC, ΔDEF, and ΔGHI

Step-by-step explanation:

Given: In ΔABC, ΔDEF, and ΔGHI:

AB = DF               AB = GI

BC = HI                DE = HI

m∠B = m∠D = m∠I

In ΔABC and ΔGHI

AB = GI  [given]

BC = HI  [given]

m∠B =  m∠I  [given]

[ here m∠B and m∠I are the included angle of ΔABC and ΔGHI]

∴ ΔABC ≅ ΔGHI [by SAS congruence postulate]

In ΔABC and ΔDEF

AB = DF [given]

BC = DE [ Since BC = HI  and DE = HI so by transitive property BC = DE]

m∠B =  m∠D  [given]

[ here m∠B and m∠D are the included angle of ΔABC and ΔDEF]

∴ ΔABC ≅ ΔDEF [by SAS congruence postulate]

Now, since ΔABC ≅ ΔGHI and ΔABC ≅ ΔDEF

⇒  ΔGHI ≅ ΔDEF [transitive property]

Hence, all the given triangles ΔABC, ΔDEF, and ΔGHI are con gruent to each other.
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