9. If two sides in one triangle are 9 and 21 , then the third side might be
a) 9
b) 11
c) 12
d) 13

Please explain how you got the answer ​

Answer:

howdy, I THINK it's 27

Step-by-step explanation:

because I searched it up

Step-by-step explanation:

since the polynomial is in the form

+x² - nx - m

we know that we are looking for 2 factors of x (to create x²).

and they must be in the form of

(x + a)(x - b)

to create the negative "m" at the end.

and "b" must be larger than "a" to create the negative "n" in the middle.

let's do the multiplication and compare the parts with our actual expression :

(x + a)(x - b) = x² - bx + ax - ab = x² + (a - b)x - ab

so, we know now in numbers that

-ab = -44

ab = 44

and

a - b = -7

a = b - 7

the short solution here is trial and error with the factors of 44 :

44 = 1×44 = 2×22 = 4×11

ah, only one combination has a difference of the factors of 7 or -7 : 4 and 11.

since b has to be larger (as a - b = -7), we have a = 4 and b = 11

and the factorization of our original expression is

f(x) = (x + 4)(x - 11)

FYI

if there is not such a short list of options to try, we can also go the full formal way :

we can use the second equation as identity in the first equation and get

(b - 7)b = 44

b² - 7b = 44

b² - 7b - 44 = 0

by the way, it is not surprising that it looks the same way as the original expression in x, because the factorization uses exactly the zero solutions for the original expression.

anyway, the formal solution to a quadratic equation of

ax² + bx + c = 0 is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = b (the variable of our equation above)

a = 1

b = -7

c = -44

b = (7 ± sqrt((-7)² - 4×1×-44))/(2×1) =

= (7 ± sqrt(49 + 176))/2 = (7 ± sqrt(225))/2 =

= (7 ± 15)/2

b1 = (7 + 15) / 2 = 22/2 = 11

b2 = (7 - 15) / 2 = 8/2 = 4

based again on the original equations and the fact that b has to be the larger number, we get again (of course) that b1 is the valid solution and

b = 11 and a = 4

Answer:

[tex]\displaystyle f'(x) = \frac{4}{x^2}[/tex]

General Formulas and Concepts:

Calculus

Limits

Differentiation

The definition of a derivative is the slope of the tangent line:                             [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle f(x) = -\frac{4}{x}[/tex]

Step 2: Differentiate

∴ the derivative of the given function will be equal to 4 divided by x².

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

need to see problem please

Answer:

800,000 people

Step-by-step explanation:

Answer:

36√3 cm2 is the answer you should be expected

Hi!

Given:

The first equation we can make can use the total number of tickets. The total number of tickets would be equal to the number of student tickets plus the number of adult tickets, correct? Therefore:

[tex]x+y=2400[/tex]

Now, the second one can use the profit and the price of each ticket. The number of student tickets multiplied by 3 (for the price) plus the number of adult tickets multiplied by 5 would be equal to the total profit. Hence:

[tex]3x+5y=9000[/tex]

Therefore, your system of equations is:

[tex]x+y=2400[/tex]

[tex]3x+5y=9000[/tex]

Answer:

48

:)

Step-by-step explanation:

63-15 = 48

48+15= 63

Answer:

length= 108 feet,

width= 50 feet

Overview of steps:

Working:

Let the length and the width of the rectangle be L and W feet respectively.

L= 2W +8 -----(1)

Perimeter= 2(length) +2(width)

316= 2L +2W

2L +2W= 316

Divide both sides by 2:

L +W= 158 -----(2)

Substitute (1) into (2):

2W +8 +W= 158

Simplify:

3W +8= 158

3W= 158 -8

3W= 150

Divide both sides by 3:

W= 150 ÷3

W= 50

Substitute W= 50 into (1):

L= 2(50) +8

L= 100 +8

L= 108

Thus, the rectangle's length is 108 feet, and its width is 50 feet.

Answer:

Example 1 = ?

Example 2 = x = 3.22

Example 3 = 10.963 = x

Example 4 = ?

The z-probability for the condition -0.78 ≤ z  ≤ 1.16 is 66%.

A z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

It is given that

-0.78 ≤ z  ≤ 1.16

We have to find the p-value corresponding to -0.78 ≤ z  ≤ 1.16.

This means, p(-0.78 ≤  z ≤ 1.16)

p(0.78≤ z ≤1.16) can be written as p(z ≤ 1.16) - p(z ≤ -0.78)

p(0.78≤ z ≤1.16) =  p(z ≤ 1.16) - (1-p(z ≤ 0.78))

p(0.78≤ z ≤1.16) =  p(z ≤ 1.16) -1 + p(z ≤ 0.78)

From the standard normal table,

p(z ≤ 1.16)=0.87698

p(z ≤ 0.78)=0.78230

So, p(0.78≤ z ≤1.16)= 0.87698-1+0.78230

p(0.78≤ z ≤1.16) = 0.65928≈0.66 i.e 66%

Therefore, the z-probability for the condition -0.78 ≤ z  ≤ 1.16 is 66%.

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Answer:

66%

Step-by-step explanation:

hopes this helps!! have an amazing day <3

Answer 48°

l hope na tama ang sagut ko

Answer:

x is 62 degrees i think

Step-by-step explanation:

wow how do i know how to do this. ANYWAYS:

since it says that the whole two angels is 152 and that one of the angles is 90 degrees we can write the equation:

90 + x = 152

x = 62

you may ask "but thats the degree of the angle next to 90.." but it is also x because it is parallel (i think thats the word)

All the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The function given in the problem is,

[tex]f(x)=x^3+3x^2-x-3[/tex]

If f(1) = 0

[tex]f(1)=(1)^3+3(1)^2-(1)-3\\f(1)=1+3-1-3\\f(1)=0[/tex]

Thus, (x-1) is one of the factor of polynomial. Equate the polynomial equal to the zero, to find other roots as,'

[tex]x^3+3x^2-x-3=0\\x^2(x+3)-1(x+3)=0\\(x+3)(x^2-1)\\(x+3)(x+1)(x-1)=0[/tex]

Equate all the groups to zero to find the roots as,

[tex]x+3=0, x=-3\\x+1=0, x=-1\\x-1=0, x=1[/tex]

Hence, all the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.

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Answer: B

Step-by-step explanation:

Answer: B, C, E, and F.

Step-by-step explanation: All these answers I picked all simplify to 9^x. A and D both don't simplify to that as both are 27^x.

Hope this helps! :)

Answer:

+(a-5)

Step-by-step explanation:

Take out the positive sign as a common factor and change the middle positive sign to negative.

Answer:

[tex]\red{ \rule{10pt}{9999999pt}}[/tex]

Step-by-step explanation:

[tex]\red{ \rule{10pt}{999999pt}}[/tex]

You did it! please don't delete

Answer:

Step-by-step explanation:

To factor out a GCF from a polynomial we first need to identify the GCF of all the terms, this is the part that goes in front of the parenthesis, then we divide each term by the GCF, the answer is what is left inside the parenthesis. This is shown in the following examples Example 3. 4x2−20x+16 4x2 −20x16GCF is4, divide each term by4

Answer:

1, 1\5 left

Step-by-step explanation:

The product represented by the model is 2/3, the correct option is A.

A fraction is a part of the whole, It is represented in the terms of p/q, where q is not equal to zero.

To form the fraction from the given graph

The number of green boxes needs to be counted = 20

Total number of boxes = 30

The green boxes represent the numerator

Fraction = 20/30

Fraction = 2/3

Therefore, the product represented by the model is 2/3.

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Answer:

A. (x – 3) and (x – 7)

Step-by-step explanation:

A. (x – 3) and (x – 7) = x^2 - 10x + 21

x*x   = x^2
x*-7  = -7x

-3*x  = -3x

-3*-7 = 21

x^2 - 7x +  3x + 21

x^2 - 10x + 21

The length of the missing side of the polygon with an area of 426 inches² is  31 inches.

Polygon is a 2-dimensional shape. They are made of straight lines.

Therefore,

area of the polygon = 426 inches²

The composite figure can be divided into two rectangle. Therefore,

area = area of rectangle 1 + area of rectangle 2

area of rectangle = lw

where

Therefore,

let

the unknown side = x

426 = 26 × 11 + (26 - 19) (x - 11)

426 = 286 + 7x - 77

426 + 77 - 286 = 7x

7x = 217

x = 217 / 7

x = 31

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~Shoto Todoroki here~

Use the form a cos(bx−c)+d

to find the amplitude, period, phase shift, and vertical shift.

Amplitude: 3/4

Period: 2π/3

Phase Shift: None

Vertical Shift: 4

hope this helps :D

Answer:

Step-by-step explanation:

20.

itis not similar as ratio of corresponding sides is not equal.

4/2=2

6/4=3/2

8/6=4/3

2≠3/2≠4/3

Answer:

Step-by-step explanation:

Equation of blue line:

blue line is parallel to y-axis

⇒ x = 5

Equation of green line:

Green line is parallel to x-axis.

y = 2

Equation of red line:

At y-intercept x = 0. Point on red line is (0,5)

So, y-intercept = 5

y = mx + b Here,  m is slope any b is y-intercept.

y = mx + 5

Now, choose any other point in red line. ((1,7)

Substitute this value in the above equation and we can find m

7 = m*1 + 5

7 - 5 = m

m = 2

y = 2x + 5

Equation of black line:

Black line and red line are parallel and so, they have same slope.

y = 2x + b

y-intercept (0,-6) ; b = -6

y = 2x - 6

6 - 2.39 = 3.61 meteres remaining for the rope

[tex][Hello,BrainlyUser][/tex]

[tex]\left[Here\; your \;Answer\; below}\right][/tex]

Answer:

7

Step-by-step explanation:

Given;

Kyle has 13 notebooks (1 for each class) and he puts 5 stickers on each one

Solve;

If Kyle wants to put 5 stickers on each of his 13 classroom notebooks, then we simply multiply 5*13 to find out how many stickers he will use in total.

5 * 13 =65

Kyle used 65 stickers total.

Then, to find out how many sheets he used, we will simply divide the total amount of stickers (T) by the amount of stickers on a sheet (S).

T = 65

S = 10

65/10 = 6.5

Thus, He will need 7 sheets, but will only use 6 and a half sheets.

[CloudBreeze]

Answer:

120 feet

Step-by-step explanation:

because 60 feet  x2 is 120

The distance between the first and the last tree is 132 feet.

An arithmetic progression(A.P.) is a series, where the difference between consecutive numbers is constant.

The first term of an A.P. is denoted by a, and the common difference is denoted by d.

The nth term of an A.P. series is found using the formula:

aₙ = a + (n-1)d.

The sum of n terms of an A.P. series is found using the formula:

Sₙ = (n/2)(2a + (n-1)d)

We are said that every tree is equally spaced. So the distance between the trees is in arithmetic progression.

With the first tree being at 0 feet from itself, our a = 0.

The distance from the first tree to the sixth tree is 60 feet, so we can say that the 6th term is 60

6th term = a + 5d

or, 60 = 0 + 5d

or, d = 60/5 = 12 feet.

To find the distance between the first tree and the last tree(12th tree), we will find the 12th term of the series,

12th term = a + (12-1)d = 0 + 11(12) = 132 feet.

∴ The distance in feet between the first and last tree is 132 feet.

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