Two sides of an acute triangle measure 5 inches and 8 inches. The length of the longest side is unknown.
What is the greatest possible whole-number length of the unknown side?
O 8 inches
O 9 inches
O 12 inches
O 13 inches

Answer:

a)  f g(x) =  x³ - 5 x² + x -5

b) g(f(x) =  x³ - 5 x² + x -5

Step-by-step explanation:

Step(i):-

Given that f(x) = x² + 1 and g(x) = x-5

a)

      f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26

Step(ii):-

a) f g(x)  = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5

b)   g(f(x)  = g(x) f(x) = (x-5) (x²+1) =  x³ - 5 x² + x -5

Answer: 1.43 because you add it to 100 to give you 143 and then divide it by 100 to get 1.43

Answer:

think its the last one

Step-by-step explanation:

because 1 represents x and x times x is x squared and 4 times minus 4 equals minus 16

There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Fruit weight = 53 kilograms

And, Another weight = 47 kilograms

Now,

Let number of kilograms weights to remove and add = x

So, We can formulate;

⇒ 53 - x = 47 + x

Solve for x as;

⇒ 53 - 47 = x + x

⇒ 6 = 2x

⇒ 2x = 6

⇒ x = 3

Thus, There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.

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Answer:

The second choice. Because the x-coordinate in the second choice is constant unlike the others, which is a property of a function.

Answer:

it has no pic

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

There are none.

Step-by-step explanation:

The factors of 6 are: 1, 2, 3, 6

The factors of 7 are: 1, 7

The factors of 8 are: 1, 2, 4, 8

Then the greatest common factor is 1.

Hope this helped! ^ ^

Answer:

52 feet

Step-by-step explanation:

14(2) = 28

12(2) = 24

28 + 24 = 52

Answer:

c. the circumference is equal to 2 * pi * 11.7

73.51

d. r= c/2pi

Answer:

Sunday

Step-by-step explanation:

The day before the day before yesterday is Monday.

Two days before Monday is Saturday.

Saturday is the day before Sunday and so their birthday is on Sunday.

The birthday is on Sunday and this can be determined by observing the given data carefully.

Given :

The following steps can be used in order to determine the day on birthday:

Step 1 - Remember today is Thursday according to the given data.

Step 2 - Now, the Day before the day before yesterday is Monday.

Step 3 - The two days before Monday is Saturday.

Step 4 - And the day of the birthday is after Saturday that is Sunday.

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Answer:

3/5^4

Step-by-step explanation:

(2^5 / 3^2)^4

(32 / 9)^4

= 159.8195

Answer:

Function A

Step-by-step explanation:

Function A rate of change:

Using two given pairs of values, (4, 32) and (8, 44):

Rate of change = ∆y/∆x

= (44 - 32)/(8 - 4)

= 10/4

Rate of change = ⁵/2

Function B rate of change:

Using two points on the line, (2, 4.5) and (4, 6.5):

Rate of change = ∆y/∆x

= (6.5 - 4.5)/(4 - 2)

= 2/2

Rate of change = 1

Function A has the greater rate of change

Function A has the greater rate of change.

Here, we have,

Function A rate of change:

Using two given pairs of values, (4, 32) and (8, 44):

Rate of change = ∆y/∆x

= (44 - 32)/(8 - 4)

= 10/4

=5/2

Rate of change = 5/2

Function B rate of change:

Using two points on the line, (2, 4.5) and (4, 6.5):

Rate of change = ∆y/∆x

= (6.5 - 4.5)/(4 - 2)

= 2/2

Rate of change = 1

Function A has the greater rate of change.

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Answer:

[tex]1\dfrac{3}{32}\ \text{inches}^2[/tex]

[tex]4\dfrac{1}{4}\ \text{inches}[/tex]

Step-by-step explanation:

w = Width of a stamp = [tex]\dfrac{7}{8}\ \text{inch}[/tex]

l = Length of a stamp = [tex]1\dfrac{1}{4}\ \text{inch}[/tex]

Area is given by

[tex]A=lw\\\Rightarrow A=\dfrac{7}{8}\times 1\dfrac{1}{4}\\\Rightarrow A=\dfrac{7}{8}\times \dfrac{5}{4}\\\Rightarrow A=\dfrac{35}{32}\\\Rightarrow A=1\dfrac{3}{32}\ \text{inches}^2[/tex]

The area of each stamp is [tex]1\dfrac{3}{32}\ \text{inches}^2[/tex]

Perimeter is given by

[tex]P=2(l+w)\\\Rightarrow P=2(\dfrac{7}{8}+\dfrac{5}{4})\\\Rightarrow P=2\times \dfrac{17}{8}\\\Rightarrow P=\dfrac{17}{4}=4\dfrac{1}{4}\ \text{inches}[/tex]

The perimeter of each stamp is [tex]4\dfrac{1}{4}\ \text{inches}[/tex].

Answer:

9

Step-by-step explanation:

V=πr²h

2797.74=πr²11

2797.74÷11π=r²

81=r²

√81=r

9=r

Answer:

5, 12, 19, 26, 33

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 7 to the previous term in the sequence gives the next term. In other words, an=a1 + d(n − 1) .

Arithmetic Sequence:  d=7

This is the formula of an arithmetic sequence.an=a1 + d(n-1)

Substitute in the values of

a1=5 and d=7. an=5 + (7) (n − 1)

Simplifly each term : an=5 + 7n − 7

Subtract  7  from 5.

an=7n − 2

Answer:

I think the answer is Y= -4. I'm not really sure what you are asking for though.

Step-by-step explanation:

7y + 5= 6y + 1

7y = 6y - 4

y = -4

I hope this helps!

Answer:

slope -intercept form

y = -328.275 x + 3142.15

Step-by-step explanation:

Step(i):-

Given that the points are (2, 2485.6) and (6,1172.5)

The slope of the line

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

              [tex]m = \frac{1172.5-2485.6 }{6-2 }[/tex]

            [tex]m = - 328.275[/tex]

Step(ii):-

Equation of the straight line passing through the Point (2,2485.6)

[tex]y - y_{1} = m(x-x_{1} )[/tex]

y - 2485.6 = (-328.275)(x-2)

y - 2485.6 = -328.275x+656.55

  y =  -328.275x+656.55 + 2485.6

y = -328.275 x + 3142.15

Final answer:-

slope -intercept form

y = -328.275 x + 3142.15

Answer:

-3=-8, -2=-4, 1=8, 3=16, 4=20

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

if a rhombus has 4 right angles it wpuld be a square

Answer:

D. [tex]\sqrt{65}[/tex]

Step-by-step explanation:

The computation of the  length of a diagonal (AC or BD) of the rectangle is shown below:

As we know that

The Diagonal length of AC is

[tex]= (x_2 - x_1)^2 + (y_2 - y_1)^2\\\\= (9 -2)^2 + (8 - 4)^2\\\\= (7)^2 + (4)^2[/tex]

[tex]= \sqrt{49 + 16}\\\\= \sqrt{65}[/tex]

Therefore correct option is D.

Answer:

hdbj

Step-by-step explanation:

Answer: 3.25

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6,8, and 10 is the same as 3,4,5. Its just multiplied by 2. Therefore, the missing number in the triple is 6.

Answer:Should be 65%

Step-by-step explanation:

Answer:

65%

Step-by-step explanation: