Which of the following is a functio

Answer:

541.1 square feet

Step-by-step explanation:

A = πr²

1) convert in. to ft because answer is in sq. ft

78 in => 6.5 ft

2) Find radius of entire area

6.5 ft + radius of inner circle

6.5 + 10 = 16.5

3) Calculate area of combined circles

A = π(16.5)²

A = 855.3 sq. ft

4) Find area of inner circle

A = π(10)²

A = 314.2 sq. ft

5) Subtract area of inner circle from combined area

855.3 sq ft - 314.2 sq. ft = 541.1 sq. ft

Answer: D.  T <-9, -2> (ΔABC) = ΔDEF

Step-by-step explanation:

D = A

A (3, 0) --> D (-6, -2)

To get the x-coordinate of D, you add -9 to 3

To get the y-coordinate of D, you add -2 to 0

T <-9, -2> (ΔABC) = ΔDEF

Hope this helped!

3a² - 24ab + 48b² = 3 ( a - 4b )²

We will start by rewriting the given quadratic polynomial,

3a² - 24ab + 48b²

Taking out the common "3",

=> 3 ( a² - 8ab + 16b² )

Splitting the middle term i.e. " - 8ab " appropriately,

=> 3 ( a² - 4ab - 4ab + 16b² )

=> 3 [ a ( a - 4b ) - 4b ( a + 4b ) ]

=> 3 ( a - 4b ) ( a - 4b )

Hence, option C is correct.

Answer:

[tex]\huge\boxed{\tt{ 3 (a-4b)(a-4b)}}[/tex]

Step-by-step explanation:

[tex]\sf 3a^2-24ab+48b^2\\\\Taking \ 3 \ as \ common\\\\= 3 (a^2-8ab+16b^2)\\\\= 3 [(a)^2 - 2 (a)(4) + (4b)^2]\\\\Using \ Formula \ a^2 - 2ab + b^2 = (a-b)^2\\\\= 3 (a-4b)^2\\\\= 3 (a-4b)(a-4b)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

28

Step-by-step explanation:

24/6=4

11-4=7

4(7)=28

I hope this helps..

your answer would be a. 28

Answer:

Step-by-step explanation:

Choose 0 to substitute in for x to find the ordered pair. Remove parentheses. Simplify 3(0)−10 3 ( 0 ) - 10 .

Answer:

ab+c=d

  -c

ab=d-c

  /a

b=d-c/a

Step-by-step explanation:

Answer:

I think It´s C

Step-by-step explanation:

Answer:

Step-by-step explanation:

cc

Answer:

782

Step-by-step explanation:

Since it's asking for the before game miles youd have to take he total yards.

(871)

The you wanna take the total yards ran from that one game.

(89)

Then just subtract by the number of yards total and the number of yards ran in that one game.

871-89=782

Answer:

2/5

Step-by-step explanation:

Total water birds=10

ducks=6

geese=4

fraction of geese=4/10

=2/5

Answer:

Riya does not pass

Step-by-step explanation:

From the question:

Section A has 80 marks

Section B has 120 marks.

The total marks from both sections = 200 marks

To pass, Riya needs to score 65% of the total marks.

Hence: 65% of 200 marks

= 65/100 × 200

= 130 marks.

To pass Riya must score 130 marks.

Riya scores:

For section A

55% in Section A

Her marks in section A = 55% × 80

= 55/100 × 80

= 44 marks

For section B

70% in Section B.

Her marks in section A = 70% × 120

= 70/100 × 120

= 84 marks

Therefore , the total marks Riya scored in both sections =

44 marks + 84 marks

= 128 marks

Riya scored a total of 128 marks. SHE DOES NOT PASS. Because the pass mark is a total of 130 marks from Section A and Section B

Answer:

Step-by-step explanation:

It says perpendicular, which means if you graphed the line given and the one you have to make, they would intersect at a right angle. I'm going to presume the x is after -2/3 since you didn't put one in, I hope that's correct.

The first part to solving problems like these is to invert the slope, which just means you have to switch the sign on it (negative to positive/positive to negative) and switch the numerator and denominator. This makes the new slope 3/2.

The next step is to find the y-intercept, which they thankfully gave you in this problem (when x=0 the y-value is always the y intercept), but you'll usually have to find it.

The equation is y=3/2x+5. You should double check this, I'm good at math but it's been a bit.

Answer:

V≈113.1cm³  radius = 3 cm

Step-by-step explanation:

Answer:

v=113.1cm^3

Step-by-step explanation:

Answer:

BD - AC = 0

Step-by-step explanation:

Given that:

BC = 36 , CD = 15 and BD = x

As these are forming right angled triangle,

Using Pythagorean theorem,

[tex](BD)^2+(CD)^2=x^2\\(36)^2+(15)^2 = x^2\\1296 + 225 = x^2\\1521 = x^2\\[/tex]

Taking square root on both sides

[tex]\sqrt{x^2}=\sqrt{1521}\\x=39[/tex]

As the given shape is rectangular, the sides parallel to each other will have same values.

AB = 15 , AD = 36 and AC = x

[tex](15)^2+(36)^2 = x^2 \\225 + 1296 = x^2 \\1521 = x^2 \\x = 39[/tex]

Now,

BD - AC = 39 - 39 = 0

Hence,

BD - AC = 0

Answer:

x +10 =0 (1)

-8x -9y=1 (2)

x=-10 => (2) 80-9y=1 =>y=9

=> x=-10, y=9

Step-by-step explanation:

Answer:

f(4)=52

Step-by-step explanation:

First, you substitute the x's with 4, so it would be

f=3*4^2+2*4-4

f=48+8-4

f=52

Hope this helps

Answer:

x(x + 1)

Step-by-step explanation: This is an important way of solving quadratic equations. The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1)

Answer:

on product side there will also 6 carbon atom

Answer:

-5

Step-by-step explanation:

The axis of symmetry is the x- axis of the vetex.

Answer:

You didn;t give any choices??

Step-by-step explanation:

Answer:c

Step-by-step explanations: you have to change the subtraction to addition which changes your negative to a positive so then you add those two together

Answer:

2(x4 − 25) = 0

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

f(0) - f(3) / 0 - 3

f(0) = -4

f(3) = 9/4 - 16/4  = -7/4

f(0) - f(3) = [-4 - (-7/4)]

f(0) - f(3) = [-16/4 + 7/4]

f(0) - f(3) = -9/4

-9/4 ÷ -3  =  -9/4 · -1/3  =  3/4

Answer:

A

Step-by-step explanation:

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