Mathematics High School

Anyone knows this please help me

Answers

Answer 1

Answer:

(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )

Step-by-step explanation:

Given the 2 equations

2x² + 4x - y = - 2 → (1)

x² + y = 2 → (2)

subtract x² from both sides in (2)

y = 2 - x² → (3)

Substitute y = 2 - x² into (1)

2x² + 4x - (2 - x²) = - 2

2x² + 4x - 2 + x² = - 2

3x² + 4x - 2 = - 2 ( add 2 to both sides )

3x² + 4x = 0 ← in standard form

x(3x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]

Substitute these values into (3) for corresponding values of y

x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)

x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )

Related Questions

Use the Distributive Property to rewrite the expression in factored form.

5x - 10
16p + 24c + 32w

I used all my points please help

Answers

if they are 2 separate equations the first one is 1) 5(x-2) and the second one is 8(2p + 3c+4w )

for a school fundraiser troy sold 28 bags of popcorn and 40 candy bars and made 282. jake sold 17 bags of popcorn and 20 candy bars and made 160.50. what was the cost of a bag of popcorn

Answers

Answer:

$6.50 per bag of popcorn

Step-by-step explanation:

let a bag of popcorn be represented by p and a candy bar be b

28p + 40b = $282

17p + 20b = $160.50

this is an example of simultaneous equations

so you have to double the second equation to give 34p + 40b = $321

subtract the equations to give one -- > 6p = $39

=3^4-2

=3^2

Find the angle with the smallest measure in △ VUW. Name the angle using three letters

Answers

Answer:

∠VUW

Step-by-step explanation:

A triangle is a three sided polygon with three angles. Types of triangles are obtuse, scalene, isosceles, equilateral and so on.

In triangle VUW, since VU = WU, hence it is an isosceles triangle. In an isosceles triangle, two sides of the triangle are equal.

The size of an angle depends on its opposite side, the higher the opposite side the higher the angle. Since In triangle VUW, VU = 9, WU = 9, VW = 5. Since VW is the smallest side, the angle opposite to VW is the smallest angle.

Hence the smallest angle = ∠VUW

x * 2/3 < 2/3
Solve for x

Answers

Answer:

x<1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps!

Answer:x<1

Step-by-step explanation:

PLZZZZZ HELPPP ME WITH THISS!!!!!

Answers

done...

................

Combine like terms : 10a+11x+3+10-9a-9+2+6x

Answers

a+17x+6.................

Answer:

a+17x+6

Step-by-step explanation:

Alright here is another question

Answers

Answer:

1/2bh, bh, s²

Step-by-step explanation:

Base x Height = area of rectangle/square, so half it (to get the triangle)

Base x Height = Area of rectangle

And for me, I knew what the last one was since it was the only one left, and isn't the equation for the first two, so an eliminating strategy. :)

Pls help asap, will do brainlest

Answers

Answer:

i got 2730 hope its right

Step-by-step explanation:

what is the slope line segment between A(10,5) and B (13,-1

Answers

Answer:

-2

Step-by-step explanation:

using the slope formula with these two points gives me a slope of -2. Hope that helps!

Solve for x
CAN SOMEONE PLEAAAAAAAAAAAAAAAAAAAAAAAASE HELP ME

Answers

Answer:

x= 12

Step-by-step explanation:

First, we can note that the angles in a pentagon add up to 540°

We can, using the image below, conclude that angles a+b+c+d+f=540

Furthermore, a is on a straight line with 7x+4, and so on, so

180-(7x+4)= a

176-7x=a

180-(4x+1) = b

179-4x = b

180-(9x-6) = c

186 - 9x = c

180 - (4x+9) = d

171 - 4x = d

180 - (5x+4) = f

176 - 5x = f

a+b+c+d+f = 540

176-7x + 179-4x + 186 - 9x + 171 - 4x + 176 - 5x = 540

888 - 29x = 540

348 = 29x

x = 12

For the following expressions, match them up with their correct factored form

Answers

- No. 3 on the left matches to no.1 on the right
- No.1 on the left matches to no.2 on the right
- no. 4 on the left matches to no. 3 on the right
- no. 5 on the left matches to no. 4 on the right
- no. 2 on the left matches to no.5 on the right

The expression (x+6)² is simplified as x²+12x+36.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

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

= 3x²-2x+15x-10

= 3x²+13x-10

B) (3x-8)(3x+8)

= (3x)²-8²

= 9x²-64

C) 5x(x-1)(x+7)

= (5x²-5x)(x+7)

= 5x²(x+7)-5x(x+7)

= 5x³+35x²-5x²-35x

= 5x³+30x²-35x

D) (x+6)²

= x²+12x+36

E) (x-2)(x-8)

= x(x-8)-2(x-8)

= x²-8x-2x+16

= x²-10x+16

So, A→2, B→5, C→1, D→3, E→4

Therefore, the expression (x+6)² is simplified as x²+12x+36.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ5

A home purchased for $120,000 in 2012 is sold for $156,000 in 2015. What is the percent increase in the price?

Answers

Answer:

30% increase

Step-by-step explanation:

First, find the difference between the prices:

156,000 - 120,000

= 36,000

Then, find what percent this is of the original price:

36,000/120,000

= 0.3

So, the percent increase is 30%

kristy had two brothers and 2 sister the little sister name kylie was 8 years old the big sister name kaylie is 12 years old the big brother name jay lay is 13 years old the little brother is 10 years old but they mom let hem buy what ever they wanted she gave each 10$ and 9 cents how many money did she paid

Answers

Answer:

Ahhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Thx fa free points susta

I need help plz "I suck at math"

Answers

Answer:

Step-by-step explanation:

number 2: the one that says opposite

How many 3/4 are in 8?

Answers

Answer:

6, i think

Step-by-step explanation:

Answer:

3/4 + 3/4= 6/4 which goes into 8 twice

help please this has to be done

Answers

Answer:

100

Step-by-step explanation:

a triangle is 180, so 180-58-22 is your answer

Elise says, "If you subtract 18 from my number and multiply the difference by - 3, the result is
- 33." What is Elise's number?

Answers

Elise's number is 29.

If you think of multiplying a value by -3 to get -33, it would obviously be 11.

So in this case, you would want to add 18 to 11 to get Elise's number, which is 29. Subtracting 18 from 29 would get you back to the value of 11, which you can then multiply it by -3 again to get -33.

There are 3 tennis balls in each can. The coach bought a total of 27 tennis balls. How
many cans of tennis balls did Coach buy? Which equation models this problem?

Answers

Answer:

Step-by-step explanation:

27÷3=9

The couch bought 9 cans of tennis ball.

What is division?

One type of operation is division in mathematics. In this procedure, the expressions or numbers are divided into the same number of components.

Given, there are 3 tennis balls in each can.

And couch bought 27 tennis balls.

To find the number of cans:

Take the division of Total number of balls to balls in one can.

That means the number of cans for 27 tennis balls,

= 27 / 3

= 9

Therefore, the 9 cans the couch bought.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Cities are on sale for five each Jennifer has 45 and wants to buy as many as she can how many CDs can Jennifer buy

Answers

Answer:

9 cd's

Step-by-step explanation:

1.) Which of the following is closest to 1?
A.
B.
9
10
C.
D. 98%
99
E.
100
8

Answers

Answer:

Step-by-step explanation:

98% it is the only percent and it is close to one

Simplify i give brainlest

Answers

Answer:

56/6 or 9.33

Step-by-step explanation:

8x5 -4^2/

2x3

40 - 4^2/

2x3

40 + 16/

56/6 or 9.33

The answer is 4 because when simplifying the top of the fraction it equals to 24 and the bottom is 6 so when dividing it equals 4.

Solve for y

4x + 4y = -36

Answers

uhhhh the answer is -9 I think

(1 1/8 + 1/8) - 5/4

A -1
B 0
C 5/8
D 4/5

Answers

9514 1404 393

Answer:

B 0

Step-by-step explanation:

Converting all of the fractions to eighths, we have ...

(9/8 +1/8) -10/8

= 10/8 -10/8

= 0

Answer: 0

Step-by-step explanation:

Sandy charges each family that she babysits for a flat fee of $10 for the night and $5 extra per
child. Sandy made a total of 30 dollars. Write an equation to represent the number of children
that Sandy watched.

Answers

30 = 5x + 10 so x = 4

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