Are the triangles congruent? State why.

Answer:

Vertex form: [tex]y = 3(x - 4)^2 - 2[/tex]

Vertex: (4, -2)

Step-by-step explanation:

Hello!

We have to complete the square, and then simplify.

The equation in vertex form is [tex]y = 3(x - 4)^2 - 2[/tex]

The vertex is (4,-2)

Vertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.

Answer:

C. 2

Step-by-step explanation:

(-8(17-12)/(-2(8-(-2) = 2

Answer:

-5x + 4

Step-by-step explanation:

Answer:

4 over 1 is the slope. of this table

Answer:

4

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

(0, 6)

(- 1, 2)

m = [tex]\frac{2-6}{-1-0}[/tex] = 4

y = 4x + 6

Answer:

Presumably you're solving for x here?  Without further information we'll assume that.

With that in mind, x is approximately equal to 0.86 and -0.46

Step-by-step explanation:

Let's start by putting it in the usual ax² + bx + c format.

[tex]5x^2- 2x = 2\\5x^2 - 2x - 2 = 0\\[/tex]

let's solve it.  First we'll multiply both sides by five, making the first term a perfect square:

[tex]25x^2 - 10x - 10 = 0\\[/tex]

Now we'll add 11 to both sides:

[tex]25x^2 - 10x + 1 = 11\\[/tex]

Which makes the left side a perfect square:

[tex](5x - 1)^2 = 11[/tex]

And now we can solve for x:

[tex](5x - 1)^2 = 11\\\\5x - 1 = \sqrt{11} \\\\5x = 1 + \sqrt{11}\\\\x = \frac{1 + \sqrt{11}}{5}[/tex]

Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.

That gives us two answers:

[tex]x = \frac{1 + \sqrt{11}}{5}\\\\x \approx \frac{1 + 3.32}5\\\\x \approx \frac{4.32}5\\\\x \approx 0.86[/tex]             [tex]x = \frac{1 - \sqrt{11}}{5}\\\\x \approx \frac{1 - 3.32}5\\\\x \approx \frac{-2.32}5\\\\x \approx -0.46[/tex]

Answer:

hello there

ok so the answer is 4 + [tex]\frac{4}{3x}[/tex]

Step-by-step explanation:

hope this helps!

Answer:

12x+4

Step-by-step explanation:

We can solve this by using PEMDAS (parentheses exponents multiplication division addition subtraction) to solve this in the correct order:

4+8÷2x (6-3)

So first we solve (6-3) since it’s in parentheses:

4+8÷2x (3)

Now we multiply 3 times 8/2x:

4+8/2x(3)

4+12x

(Put in order)

12x+4

And that^ is the answer because we cannot simplify any further!

Hope this helps :)

Answer:

Number of men= 13.99 = 14

Step-by-step explanation:

Giving the following information:

There are 49 female performers in a dance recital. The ratio of men to women is 2:7.

First, we determine the proportion of men to women:

Proportion men to women= 2/7= 0.2857

Now, we calculate the number of men in the show:

Number of men= 0.2857*49

Number of men= 13.99 = 14

Answer:

I believe it would be A, 1/2

Step-by-step explanation:

4/3 = -6e - 5/3

6e = -4/3 - 5/3

6e = -9/3 = -3

e = -0.5

Answer:

The equation is always false

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.A

2.C

3.D

4.C

5.B

6.D

if these are wrong just do the flipped sign version so that would be

1.B

2.D

3.C

4.D

5.A

6.C

He bought 10 pounds of Golden apples and 20 pounds of Fuji apples

which costs him $20 and $60.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Let Fuji apples be F and Golden apples be G.

In total, he bought 30 pounds of apples.

∴ F + G = 30...(i)

And,

He bought 3 pounds of Fuji apples and 2 pounds of Golden apples.

3F + 2G = 80...(ii)

Now, multiplying eqn(i) by 3 and subtracting from (ii) we get G = 10 and hence F = 20.

So, he bought 10 pounds of Golden apples and 20 pounds of Fuji apples

which costs him $20 and $60.

learn more about linear equations here :

https://brainly.com/question/14056312

#SPJ2

Answer:

C

Step-by-step explanation:

The height of flagpole is 24ft.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

Given;

Hypotenuse=26ft

Base=10ft

Now,

Hypotenuse^2=base^2+Height^2

26^2=10^2+h^2

676=100+h^2

576=h^2

h=24

Therefore, by Pythagoras theorem the height will be 24ft.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ5

Answer:

8 Green beads

Step-by-step explanation:

12 divided by 3 = 4

4 times 2 = 8

Answer:

answer of 2a)

He started with $24 and spent $16. Let a represent his account balance after he bought the notebook and pens. Then

24–16=a

His new account balance is $8.

He has $8 in his account and then he deposited b dollars. His account balance is now $28. Then

8+b=28

His deposited $20 in his account.

He has $28 and spent $34. Let c represent his account balance after he bought the book. Then

28–34=c

His new account balance is -$6.

He started with an account balance of -$6 and paid the debt off so his account balance is 0. If d is the amount money he deposited to pay off his debt, then

−6+d=0

He deposited $6.

answer of 2b)

If he spends more than he has in his account, then we are subtracting a bigger number from a smaller number, and the result is negative. ... The opposite of a positive number is a negative number, so it makes sense to represent his account balance with a negative number when he owes money to the bookstore.

please give me brainliest:))

Answer:

The range of the set of ordered pairs are [tex]Y =\{-1,-7,-11,-15\}[/tex].

Step-by-step explanation:

Let [tex](x,y)[/tex] be an ordered pair, where [tex]x[/tex] corresponds to an element of the domain and [tex]y[/tex], an element of the range. Hence, the range of the set of ordered pair are:

[tex]Y =\{-1,-7,-11,-15\}[/tex]

The range of the set of ordered pairs are [tex]Y =\{-1,-7,-11,-15\}[/tex].

Answer:

z1 = -17 + 0i

Step-by-step explanation:

Given the complex number z1 ​ =17[cos(π)+isin(π)], we are to express it in rectangular form as shown;

Since cos(π) = -1 and sin(π) = 0, the equation becomes;

z1 ​ =17[cos(π)+isin(π)]

z1 ​ =17[(-1)+i(0)]

z1 = 17(-1 + 0i)

z1 = -17 + 0i

Hence the complex number in rectangular form is expressed as z1 = -17 + 0i

Answer:

I believe its D

Step-by-step explanation:

its the same line just 10 units down, meaning it would be parallel and pass thru that point.

Answer:

I'm not supposed to help you if you are taking a test, but the answer would be letter D which is 1/2x

Step-by-step explanation:

Remember, parallel lines have the same slope. The only line that has the same slope as y = 1/2x + 10 is y = 1/2x

Hope this helps you ace the test!!! :)

Good luck!!!      

Answer:

54.23

Step-by-step explanation:

If that not a choice simpfly

Answer:

x < 15/2

Step-by-step explanation:

Step 1: Divide both sides by 2.

2x/2 < 15/2

x < 15/2

Answer:

Step-by-step explanation:

Number of compounds:

Saving amount at the end of 2 years:

Answer: 2 Math books and 6 English books

Answer:

(2,3) function

(1,9) not

(7, 4) function

(0,3) not

(-6,5) function

Answer: 26; 1x + 3y

Step-by-step explanation:

a. The number of points that Madison would score in a game if she made 8 free throws (worth one point each) and 6 three point shots would be:

= 8(1) + 6(3)

= 8 + 18

= 26 points

The number of points that Madison would score in a game if she made x free throws and y three point shots would be:

= 1(x) + 3(y)

= x + 3y

Answer:

26  and 1x+3y

Step-by-step explanation:

26  and 1x+3y

Answer:

situation 1 is (80%)

situation 2 is (95%)

situation 3 is  (33 1/3%)

situation 4 is (15%)

Answer:

The original cost of the product was $35.68.

Step-by-step explanation:

As Sasha has a discount coupon of 35%, the final amount that he will pay is 65% of the initial value of the product (100 - 35). Thus, 65% of the value is $ 23. Therefore, to determine the initial cost of the product, it is necessary to perform the following calculation:

65 = 23

100 = X

((100 x 23) / 65) = X

2,300 / 65 = X

35.68 = X

Therefore, the initial value of the product was $ 35.68.

Answer:

Slope = 3/4

Step-by-step explanation:

sorry it’s late. Pls give brainliest.

Answer:

x = 2

y = -1

Step-by-step explanation:

8x + 2y = 14

2x + y = 3

In order to find the number x represents, you have to make the number of y for both equations the same. So:

8x + 2y = 14

(×2) 4x + 2y = 6 (×2)

Then, you can cancel the y off both equations, which will leave:

8x = 14

4x = 6

To find 4x, you have to find the difference between both equations, so you have to:

14 - 6 = 8

Now that the actual number 4x represents is 8, so:

4x = 8

(÷4) x = 2 (÷4)

Now to find y, substitute the letter x with 2:

2x + y = 3

2 (2) + y = 3

4 + y = 3

4 - 3 = -y

1 = -y

(× -) -1 = y (× -)

Answer: x = 2

              y = -1

Hope this helps!  :)

(NOTE: Do you mind marking me as Brainliest?)