Can someone help me and show how to write the perimeter equation to find x.
50 points. Answer part b. for full 70 points

Answer:

The perimeter of triangle is 30ft.

Step-by-step explanation:

First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

Let b = 12,

Let c = 13,

[tex]a = \sqrt{ {13}^{2} - 12 {?}^{2} } [/tex]

[tex]a = \sqrt{25} [/tex]

[tex]a = 5feet[/tex]

Next you have to find the perimeter of triangle by adding all the sides together :

[tex]perimeter = 5 + 12 + 13[/tex]

[tex]perimeter = 30feet[/tex]

Answer:

[tex]12n^4-15n^3-3n^2[/tex]

Step-by-step explanation:

The first step is to distribute the [tex]3n^2[/tex] to [tex](4n^2-5n-1)[/tex], like so:

[tex](4n^2-5n-1)[/tex][tex](3n^2)[/tex]

[tex]12n^4-15n^3-3n^2[/tex]

Answer:

y = -15.9x² + 110.48x + 3.02

initial velocity: 110.48 ft/s

initial height: 3.02 ft

time to cath the ball at 6 ft: 6.92

Step-by-step explanation:

In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)

The initial velocity is the second coefficient.

The initial height is the third coefficient.

Replacing y = 6 into the equation and solving with the quadratic formula:

6 = -15.9x² + 110.48x + 3.02

0 = -15.9x² + 110.48x + 3.02 - 6

0 = -15.9x² + 110.48x - 2.98

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

[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]

[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]

[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]

[tex]x_1 = 0.03[/tex]

[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]

[tex]x_2 = 6.92[/tex]

In the context of the problem, only x2 has sense.

Answer:

a(91) = -1705

Step-by-step explanation:

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is    a(91) = 5 - 19(91 - 1), or

                                        a(91) = 5 - 1710, or

                                        a(91) = -1705

The 91st term of the arithmetic sequence is -1705.

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.

Given that an arithmetic sequence 5, -14, -33, ...

nth term of an AP is, a(n) = a + (n-1)d

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is  

a(91) = 5 - 19(91 - 1)

a(91) = 5 - 1710

a(91) = -1705

Hence, The 91st term of the arithmetic sequence is -1705.

For more references on arithmetic sequence, click;

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Answer:

The answer is x ^5

Answer:

D

Step-by-step explanation:

To factor a quadratic you need to think about what adds up to the b coefficient (the number in front of b) and multiplies to the constant. 3 and 4 do these, but you also know that you have -7 instead of positive 7. A negative times a negative is equal to a positive, which you can do (x-3)(x-4) to equal your quadratic trinomial.

Answer:

Step-by-step explanation:

The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).

The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.

The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)

"The graph of a function f is the set of all points in the plane of the form (x,  f(x))."

For given example,

f(x) = x²

The graph of a function f(x) would be a parabola with vertex at origin (0, 0).

And g(x) = 1/3 f(x)

⇒ g(x) = 1/3 (x²)

We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.

Since for a parabola g(x) the quadratic coefficient is 1/3.

This means the parabola g(x) is wider than the parabola f(x)

So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.

The graph of g(x) is parabola (as shown in following figure)

Learn more about the graph of the function here:

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Answer:

<B = 107

Step-by-step explanation:

This two triangles are congruent by SSS

So angleB = angleD

We can find angle D by the sum of the angles of a triangle

A+C+D = 180

32+41+D = 180

73+D = 180

D =180-73

D =107

C = B = 107

Answer:

The answer is 784

Step-by-step explanation:

You divide 17 from 45 it will equal 2.647 years technically 2 year that the population has doubled.

You multiply 196 by 2 and do that a second time to get 784.

Answer: it’s B

Step-by-step explanation:

I just took the test

Answer:

x = 6, y = -2

Step-by-step explanation:

x-2y = 10

y = -6x +34

Substitute the second equation into the first for y

x - 2(-6x+34) = 10

Distribute

x +12x - 68 = 10

Combine like terms

13x -68 = 10

Add 68 to each side

13x - 68+68 = 10+68

13x = 78

Divide each side by 13

13x/13 = 78/13

x = 6

Now find y

y = -6x+34

y = -6(6)+34

y = -36+34

 =-2

Answer:

x = 6 y = -2

Step-by-step explanation:

x-2y = 10

x = 10 + 2y

y = -6x +34

y = -6(10 + 2y) + 34

y = -60 - 12y + 34

13y = -26

y = -2

x = 10 + 2(-2)

x = 10 - 4

x = 6

Answer:

100

Step-by-step explanation:

Because adjacent angles in a parallelogram are supplementary, angle 1 and 80 must add up to 180 degrees. Therefore, angle 1 is 180-80=100 degrees. Hope this helps!

Answer:

100

Step-by-step explanation:

Hope this helped!

Since y = f(x), and we are adding 5 to this, we can say that g(x) is basically f(x) but has been shifted 5 units up.

Example: f(x) = x^2 and g(x) = f(x)+5 = x^2+5. Compare those two graphs and you should see that every point on f(x) has been moved up 5 units.

The statement best compares the graph of g(x) with the graph of f(x) is "The graph of g(x) is the graph of f(x) shifted 5 units up".

A function assigns the value of each element of one set to the other specific element of another set.

As the value of function g(x) is given, therefore, the function of g(x) will be 5 units upwards from the function f(x).

An example of this is been attached below.

Therefore, the statement best compares the graph of g(x) with the graph of f(x) is  "The graph of g(x) is the graph of f(x) shifted 5 units up".

Learn more about Function:

https://brainly.com/question/5245372

Answer:

#4: 4 hits

Step-by-step explanation:

At first, you are given the ratio 1/37 which you can scale to 148 by dividing and multiplying both by. So you divide 148/37 to reach 4 and then multiply 4 by 1 to find out that about four hits will prbably be made.

Answer:

the answer for number four is four and number five is 39

I am not sure about number 5 plz check                                                             somebody.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Divide 48 into 4 parts

Answer:

(25:100)*48=

(25*48):100=

1200:100=12

Answer=12

Answer:

$8.73 per package of candy bars

Step-by-step explanation:

10.25 - 1.52=

Answer:

(1,5)

Step-by-step explanation:

plug in the x and y values to see if they are equal in the equation. If not, then you know the answer is wrong.

Answer: if you need help ask

Step-by-step explanation:

First you start by finding a problem

Next you ask someone to help you with the problem, simple :)

Answer:

Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.

Answer:

incorrect

wrong equation 2 1/2 / 3/4

correct equation 2 1/2 / 3/8 = 6 2/3

6 groups of students.

Step-by-step explanation:

Answer:

2.

4x^2 + 4 - 5x + x - 2x^2 + 8

= (4x^2 - 2x^2) + (x - 5x) + (4 + 8)

= 2x^2 - 4x + 12

=> D is correct

3.

2x^2 + 6x - 7x + 8 - 3x^2 + 1

= (2x^2 - 3x^2) + (6x - 7x) + (1 + 8)

= -x^2 - x + 9

=> C is correct

4.

B is correct (4 and 3)

Hope this helps!

:)

Answer:

A

Step-by-step explanation:

Given 2 secants from a point outside the circle.

Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is

(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)

(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides

x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides

4x + 12 = 20 ( subtract 12 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2 → A

Answer: She did not use the factors in correct order therefore she is inncorrects

Step-by-step explanation: I got it right on edge

Answer:

Sari did not use the greatest common factor in the equation.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

C. 35

Step-by-step explanation:

7/40=x/200

200/40 x 7=35

Answer:

34.35 liters

Step-by-step explanation:

Answer:

The distance that Mrs. Gilbertson's daughter walked was 188.4 feet

Step-by-step explanation:

Here we have that Mrs. Gilbertson's daughter walked round the circle 12 times where the diameter of the circle = 5 ft., therefore, the circumference of the circle, the distance walked round each of the 12 times = π·D

Where:

D = 5 ft

Hence, circumference = π × 5 = 3.14 × 5 = 15.7 ft

Therefore, by walking round the circle 12 times, the total distance that Mrs. Gilbertson's daughter walked = 12 × 15.7 = 188.4 ft.

Answer:

276

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Because this figure is a parallelogram, the diagonals bisect each other. This means that the diagonals cut each other perfectly in half, meaning that x and 15 have the same value. Hope this helps!

Step-by-step explanation:

I think its 5 for x if you do 15/3=5 I think

Step-by-step explanation:

To find the probability

Total marbles = 5 + 3 + 6 + 2 = 16

P pink = 5/ 16

P orange = 3/16

P green = 6/ 16 = 3/8

P yellow = 2/16 = 1/8

Part B when we divide 80 by 16 = 5

So she drew every marble 5 times

So 3 x 5 = 15

She drew the orange marble 15 times

Answer: The area is 103.5

Step-by-step explanation: The question becomes very simple once you know how to split this object into objects that you most likely know how to solve the area of. In truth, if you split the shapes in triangles and rectangles, you would find 4 rectangles and a triangles. Once you have solved the area of all of them, you would just have to add. How I solved it goes like this. I added 22.5 as the triangle, 35 as a rectangle, 2 as another rectangle, 18 as another rectangle, and 26 as the final rectangle.(take note that these numbers are the areas of the split shapes) If you added correctly, you would get 103.5