What criteria can you use to show these two triangles are congruent?
choice:
SSA

AAS

HL

SAS

The equation that is true for x = -6 and x= 2 is given by: Option B: 2x^2 +8x -24 = 0

Suppose there is an equation given, involving some variables.

Then, those values of the involved variable, for which the equation is true, are called solution of the equation.

For single variable equations, specially for polynomials, these solutions are called the roots of the equation.

Suppose that the given quadratic equation is

[tex]ax^2 + bx + c = 0[/tex]

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

For this case, the options are all quadratic equations, so we can check all the options to find the roots to see if they match to x = -6 and  = 2

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \dfrac{-(-16) \pm \sqrt{(-16)^2 - 4(2)(12)}}{2(2)}\\\\x = \dfrac{16 \pm \sqrt{196 - 96}}{4} = \dfrac{16 \pm 10}{4}\\\\x = 26/4, x = 6/4[/tex]

Thus, this equation isn't true for both x = -6 and x= 2

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \dfrac{-8 \pm \sqrt{(8)^2 - 4(2)(-24)}}{2(2)}\\\\x = \dfrac{-8 \pm \sqrt{64 +192}}{4} = \dfrac{-8 \pm 16}{4}\\\\x = -6, x = 2[/tex]

Thus, this equation is true for both x = -6 and x= 2

Since the question says "Which equation is true", so that means only one option is true.

Thus, the equation that is true for x = -6 and x= 2 is given by: Option B: [tex]2x^2 +8x -24 = 0[/tex]

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Answer:

b

Step-by-step explanation:

edge

Answer:

a: 13 + t = 17

Step-by-step explanation:

the top is equal to the bottom

the top is 13 and t together but you are not multiplying

thus the answer is 13 + t = 17

Answer:

A, 13+t=17

Step-by-step explanation:

Since you are trying to find the missing part of the diagram and both rows add up to 17, the answer would be A. This is the case because you aren't multiplying 13 over and over to get 17, rather instead you are adding a number to get 17.

Answer:

The numbers are 12 and 4

Step-by-step explanation:

12÷4=3

4÷4=1

12×4=48

Answer: 7.2

Step-by-step explanation:

Answer:

30.67 inches

Step-by-step explanation:

Area of a triangle: 1/2 x b x h

115 = 1/2 x b x 7.5

115 = 3.75b

115/3.75 = b

30.66666 = b

30.67 = b

Answer:

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░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob

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▀█▌░░░▄░▀█▀░▀ ░░ Copy And Paste

░░░░░░░▄▄▐▌▄▄░░░ So, He Can Take

░░░░░░░▀███▀█░▄░░ Over Brainly

Step-by-step explanation:

[tex]3v^2-10v+3=0\\\\\implies 3v^2 - 9v-v +3=0\\ \\\implies 3v(v-3)-(v-3)=0\\\\\implies (v-3)(3v-1)=0\\\\\implies v = 3,~~v=\dfrac 13[/tex]

Answer:

this is the unit area of: 24

Step-by-step explanation: hope this helps

Answer:

x= 89°

Step-by-step explanation:

Let's use the rule of corresponding angles.

x+ 32°= 121° (corr. ∠s)

x= 121° -32°

x= 89°

Answer:

Scale faction is 4

Step-by-step explanation:

You want to step this up as new/old this is because the shape is increasing in size. 18 times 4 is 72.

Answer:

Disagree

radius = 7 m

diameter = 14 m

Step-by-step explanation:

Formula

[tex]\sf Area\:of\:a\:circle=\pi r^2[/tex]

Given:

Substitute given value into the formula and solve for r:

[tex]\sf \implies \pi r^2=153.88[/tex]

[tex]\sf \implies r^2=\dfrac{153.88}{\pi}[/tex]

[tex]\sf \implies r=\sqrt{\dfrac{153.88}{\pi}}[/tex]

[tex]\sf \implies r=6.998680253[/tex]

Therefore r ≈ 7 m

So I disagree with Nysean, as from my calculations, the approximate radius of the merry-go-round is 7 m.

Diameter = 2r

⇒ diameter of merry-go-round = 2 x 7 = 14m

So Nysean has actually given the approximate measure of the diameter rather than the radius.

Using proportions, it is found that she needs 4 consecutive hits to raise her batting average to .400.

A proportion is a fraction of a total amount.

Hence, the batting average is given by the number of hits divided by the number of at-bats.

If she gets x consecutive hits, she will have 8 + x hits in 25 + x at-bats, for an average of 0.400, hence:

[tex]0.4 = \frac{8 + x}{25 + x}[/tex]

8 + x = 10 + 0.4x

0.6x = 2

x = 3.33

Rounding up, she needs 4 consecutive hits to raise her batting average to .400.

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Answer:

[tex]y = \frac{5}{3} x - 5[/tex]

Step-by-step explanation:

To write an equation in the slope-intercept form, we need the slope (which can also be calculated) and at least a coordinate.

What is slope-intercept form?

x- intercept occurs at y= 0 while y-intercept occurs at x= 0. With this information, let's write out the two coordinates given.

With two coordinates, we can calculate the slope using the equation below.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

[tex]slope = \frac{ - 5 - 0}{0 - 3} [/tex]

[tex]slope = \frac{ - 5}{ - 3} [/tex]

[tex]slope = \frac{5}{3} [/tex]

Substitute the value of the slope into m in the equation.

[tex]y = \frac{5}{3} x + c[/tex]

Given that the y-intercept is -5, c= -5.

[tex]y = \frac{5}{3} x - 5[/tex]

the answer of the year is 20%

Answer:

Pool 1:  2(3)*3*3= 54 ft^3

pool 2: 2(4)*4*4= 128 ft^3

Pool 3: 2(5)*5*5= 250 ft^3

pool 4:  2(6)*6*6= 432 ft^3

Step-by-step explanation:

length can be modeled by twice the width or twice the depth which means that deapth=width,

both the width and the depth are equal, hence

L= 2x

W=X

x=3,4,5,6 (which are values for depth as well as width)

susbtitute values:

Pool 1:  2(3)*3*3= 54 ft^3

pool 2: 2(4)*4*4= 128 ft^3

Pool 3: 2(5)*5*5= 250 ft^3

pool 4:  2(6)*6*6= 432 ft^3

The situation that best represents the equation y = 25x is David earned y amount of money at a rate of $25 per x hours.

Rate of payment is the amount of money a worker receives after each hour, day or week.

David receives the amount of y as his payment every hour.

He is paid at the rate of $25 every X hours.

Therefore the amount he will receive which is represented as y would be $25 * X hours.

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Answer:

D i think a number represents x. not sure

Answer:

8x+5

Assume x is the unknown number.

8x+5 means

8*x = a number multiplied by eight

8x+5 = a number multiplied by eight eight then added to five.

Therefore, the correct option is D.

The fraction 6/10 and 4/10 can be represented by using the objects laid together to form a square.

An equation is an expression that shows the relationship between two or more variables and numbers.

The fraction 6/10 and 4/10 can be represented by using the objects laid together to form a square.

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Answer:

Diameter = 14 cm

Circumference = 44 cm

Step-by-step explanation:

[tex]\pi {r}^{2} = 154 \\ {r}^{2} = \frac{154}{\pi} \\ r = \sqrt{ \frac{154}{\pi} } \: cm[/tex]

[tex]Diameter = 2r \\ = 2 \sqrt{ \frac{154}{3.142} } \\ ≈ 14 \: cm[/tex]

[tex]Circumference = πd \\ = 14\pi \\ = 14 \times 3.142 \\ = 43.988 \\ ≈ 44 \: cm[/tex]

Answer:

-11

Step-by-step explanation:

The | | around a number means the absolute value of that number. The absolute value is the positive value of the number given.

Answer:

427

Step-by-step explanation:

i could be wrong i used surface area calculator

Answer:

The factored form of the equation is f(x) = (x - 2)(x + 10), which makes the zeros of the function x = -10 and x = 2.

In order to factor a quadratic like this, you must find factors of the constant (in this case -20). The pairs of factors are listed below.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Now we must pick out the pair that add to the coefficient of x.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Once you've picked out those numbers, you can place each in a parenthesis with x.

f(x) = (x - 2)(x + 10)

Then to find the zeros to the equation, set each parenthesis equal to 0 and solve.

x - 2 = 0

x = 2

x + 10 = 0

x = -10

Step-by-step explanation:

hope this helps:)

Answer:

Answer is G 1.5

Step-by-step explanation:

1. Distribute the 5 to x and 2 by multiplying. and the 7 to the 4 and -x by multiplying

2. carry over the 7x by adding it to 5x. to get x to one side.

3. subtract 10 from both side

4. Divide both side by 12

5. simplify and convert to decimal

Answer:

f(n+1) = f(n)+5

Step-by-step explanation:

So lets say

f(1)=5

f(2)=10

1+1=2 so

f(2)=f(1+1)

therefor

f(n+1)=f(n)+5 since the difference of the functions is 5

the answer is A f(n+1)=f(n)+5

we know that

An arithmetic sequence is a sequence of numbers which increases or decreases by a constant amount each term

In this problem

the sequence of numbers increase by a constant amount equal to

5

each term

so

f(2)=f(1)+5

f(3)=f(2)+5

f(4)=f(3)+5

.

.

f(n+1) = f (n) + 5

therefore

the answer is the option

f(n + 1) = f(n) + 5

Answer:

A

Step-by-step explanation:

Answer:

1.) men: 1800, women: 3000

2.)2275/65 = 35 mins

3.)P 2,175,000

4.) 5400 in 6 mins

5.) Probably 5?

6.) P 120 000

Step-by-step explanation:

The question is an illustration of arrangements, and the number of possibilities of the password is 65000

The length of the password is:

Length = 4

If the password begins and ends with a letter and cannot be repeated, then the possibilities are:

First = 26

Last = 25

If the password contains numbers that can be repeated, then the possibilities are:

Number 1 = 10

Number 2 = 10

So, the number of possibilities is:

Possibilities = 26 * 10 * 10 * 25

Evaluate the product

Possibilities = 65000

Hence, there are 65000 possibilities of a 4 character password

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