factor the trinomial
2x^2+10x+8

Answer: 1) 15:25 or 15/25 2) 10:25 or 10/25

Step-by-step explanation: if there are 25 students total and there are 15 boys that means the rest are girls so 25-15 is 10 girls. So the ratio for selecting a boy would be 15:25 or 15/25 and the ratio for selecting a girl would be 10:25 or 10/25

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Answer:

f(x) = 2ˣ + 1

Step-by-step explanation:

Based on the exponential increase, you know that it will be an exponential equation, meaning that you can cancel out the first two options.

The easiest way to do pick the between the two remaining equations is by plugging in an x-value and seeing if the y-value for that equation matches the y-value from the equation.

For (3, 9):

f(x)  =  3ˣ  =  3³  =  27

f(x)  =  2ˣ + 1  =  2³ + 1  =  8 + 1  =  9

The last equation is the equation that is represented by the table.

Answer:

Number of dogs = 6

Number of burgers = 11

Step-by-step explanation:

Number of dogs = x

Number of burgers = 2x - 1

Cost of a dog = $ 1.50

Cost of 'x' dogs = 1.5x

Cost of a burger = $ 2

Cost of (2x - 1) burger = (2x -1) * 2 = 2x *2 - 1*2

                                    = 4x - 2

Total amount collected  = $ 31

1.5x + 4x - 2 = 31 {add 2 to both sides}

        1.5x + 4x = 31 + 2

      1.5x+ 4x  = 33

               5.5x = 33

                    x = 33/5.5

                   x = 6

Number of dogs  = 6

Number of burgers = 2*6 - 1 = 12 - 1 = 11

Answer:

The first question tan(24) = x/12 because tan(x) = opposite/adjacent

so x in radians ≈ -25.618....

x in degrees ≈ 5.342....

For the second question tan(72) = x/20

x in radians ≈ -5.248....

x in degrees ≈ 61.553....

Answer:

for first one

relationship between base and perpendicular is given by tan angle

tan24=p/b

tan24=x/12

x=tan24×12=5.34

Step-by-step explanation:

for second one

relationship between base and perpendicular is given by tan angle

tan72=x/20

x=tan72×20=61.55

Answer:

x = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

Answer:

6

Step-by-step explanation

Ordered triples only apply to right triangles

3,4,5 is an ordered triple

multiply (3,4,5) by 2 and you get (6,8,10)

the 2 other side lengths are 8 and the hypotenuse is 10 then the other side length is 6.

-------------------

That is just a way to do it quickly and it does not always apply.

the formula for Pythagorean and theorem is a^2+b^2=c^2

a=leg of the triangle

b=other leg of teh triangle

c=hypotenuse(longest leg)

as we can see here 10 is the longest so it is the hypotenuse.

So then we can assume that 8 is a leg of the triangle

so we insert that into the equation

a^2+8^2=10^2

subtract 8^2 from both sides

a^2=10^2-8^2

a^2=100-64

a^2=36

square root both sides

a=√(36)

a=6

Hope that helps :)

Answer:

42

90

Step-by-step explanation:

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Answer:

DEF~XYZ

xz/DF=xy/de in similar triangle side are proportional

3x/7=7.5/5

3x=7.5/5 ×1/7=7.5/35

Answer:

(0.5 , -1.5)

Step-by-step explanation:

intersection of their diagonals (E): right at the mid-point of segment AC or BD

A (5 , 0)  and C (-4 , -3): E (x , y)

x = (5 + -4 ) / 2 = 0.5

y = (0 + -3 ) / 2 = - 1.5

E ( 0.5 , - 1.5)

check with BD: x = (3 + -2) / 2 = 0.5        y = (-3 + 0) / 2 = - 1.5

9514 1404 393

Answer:

  y = -0.03x² +12

Step-by-step explanation:

For "tunnel" or "arch" or "bridge" problems, I like to start with the expression ...

  y = 1 - x²

It has a height of 1 and intersects the x-axis at ±1. This can be scaled to give the appropriate height and x-intercepts.

We want the x-intercepts to be ±20, so we can scale this horizontally by a factor of 20:

  y = 1 -(x/20)²

We want the height to be 12, so we can scale it vertically by a factor of 12:

  y = 12(1 -(x/20)²

  y = 12 -12(x²/400)

  y = -0.03x² +12

Answer:

B (169)

Step-by-step explanation:

Answer:

i think its A

Step-by-step explanation:

But if i am incorrect i apologize

Answer:

46°

Step-by-step explanation:

These angles are same-side supplementary, therefore they add up to 180°.

180 - 134 = 46°.

Answer:

Please refer to the attachment

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

b is the answer

Step-by-step explanation:

because I'm that bit still that bit will for ever be that bit

Answer:

∠ B = 54°

Step-by-step explanation:

The angles are supplementary, that is they sum to 180° , then

7x + 14 + 5x - 26 = 180 , that is

12x - 12 = 180 ( add 12 to both sides )

12x = 192 ( divide both sides by 12 )

x = 16

Then

∠ B = 5x - 26 = 5(16) - 26 = 80 - 26 = 54°

Answer:

[tex]m = 3 \sqrt{12} [/tex]

[tex]n = 6[/tex]

Step-by-step explanation:

n=1/2 of 12 according to the rule:

right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

so n=12/2=6

and now we will need Pythagorean theorem : the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

so

[tex] {m}^{2} + {n}^{2} = {12}^{2} [/tex]

now lets put numbers on formula

[tex] {m}^{2} + {6}^{2} = {12}^{2} [/tex]

from this formula m=

[tex]m = \sqrt{ {12}^{2} - {6}^{2} } = \sqrt{144 - 36} = \sqrt{108} = 3 \sqrt{12} [/tex]

Answer:

6

Step-by-step explanation:

because 3 checks for 5 bucks 3x5=15  two bill for 2 dollars each 15+4=19

25-19=6

Step-by-step explanation:

[tex] {d}^{2} = {5}^{2} + {5}^{2} \\ {d}^{2} = 50 \\ d = 5 \sqrt{2} \\ [/tex]

[tex] \tan(60) = \frac{4}{c} \\ c = \frac{4}{ \tan(60) } = 2.3[/tex]

Answer:

x = 10.

Step-by-step explanation:

x + (-8) = 2.

First, isolate x by adding 8 to both sides.

x = 8 + 2.

Next, solve.

x = 10.

Finally, you can come to the conclusion that x = 10. Always plug in your answer to make sure it works.

10 - 8 = 2.

2 = 2.

Answer:

thin think back to wen you were l lerning about it come on you can do it

Answer:

you have to show the prism

Let's write -9 where we see A:

Let's write 0 where we see B:

(Since B = 0, when it is multiplied by x, it becomes 0 again)

Let's write -2 where we see C:

Now we can move on to solving our equation:)

Let's put the known and the unknown on different sides:

(-2 goes to the opposite side positively)

(it goes as a division because it is in the case of multiplying -9 across)

I could not find the rest of it, but I did not want to delete it for trying very hard. Sorry. It felt like we should take the square root, but I couldn't find it, maybe this can help you a little bit.

Please do not report:(

I hope I got it right, I'm trying to improve my English a little :)

The quadratic equation ax²+ bx + C = 0, whose coefficients are a = -9, b = 0, c = -2 will be -9x² + -2 = 0

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,coefficients fore the equation,ax²+ bx + C = 0, is a =-9, b = 0, c = -2

We have to write a quadratic equation as,

Any equation of the form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

ax² + bx + c = 0

-9x² + 0x + (-2) = 0

-9x² + -2 = 0

-9x² + -2 = 0

Thus, the quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2 will be -9x² + -2 = 0

Learn more about the equation here,

https://brainly.com/question/10413253

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Answer:

opposite sides aren't equal

Answer: For a quadrilateral to be considered a parallelogram all opposite sides must be equal, however the shape shown in the image above does not meet this condition as all sides are a different size.