Properties of Triangles HELP

Answer:

g(x) = 12*x^2 + 8

Step-by-step explanation:

For a function f(x), a vertical stretch of scale factor k is defined as:

g(x) = k*f(x)

In this case, we know that f(x) = 3*x^2 + 2

And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4

and:

g(x) = 4*f(x)

Replacing by the actual function, we get

g(x) = 4*(3*x^2 + 2)

g(x) = 4*3*x^2 + 4*2

g(x) = 12*x^2 + 8

Answer:

Smallest number of rows that is needed to seat these people = 16

Step-by-step explanation:

Given - A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre.

To find - What is the smallest number of rows that is needed to seat these people?

Solution -

Given that,

Total number of seats in a Row = 24

Let us assume that, there are x rows

As.

There are 382 people in the Theatre

So,

Minimum seats required is

24 x = 382

⇒x = 382 ÷ 24

⇒x = 15.91

i.e.

Smallest number of rows that is needed to seat these people = 16

Answer: 6,160,000 db

Step-by-step explanation:

The sound of a jet engine is 70,000 times louder than that of a lawn mower.

Since we know the sound of a lawnmower, we can multiply that by 70,000 to find the sound of a jet engine:

= Sound of lawnmower * 70,000

= 88 * 70,000

= 6,160,000 db

Step-by-step explanation:

15*8= 120

120/2= 60

60*13= 780

So its B.  

Answer:

[tex]r = \frac{-4}{9}[/tex]

Step-by-step explanation:

[tex]\frac{12r}{r+2}= \frac{4}{r+2} -6 \\\\\frac{12r}{r+2}= \frac{4-6(r+2)}{r+2} \\\\\frac{12r}{r+2}= \frac{4-6r-12}{r+2}\\\\12r = -6r - 8\\\\12r + 6r = -8 \\\\18r = -8\\\\r = \frac{-8}{18} = \frac{-4}{9}[/tex]

Answer:

start at the y coordinate -2 then go up 2 and right 1

Step-by-step explanation:

Answer:

(0,-7)

Step-by-step explanation:

a^2+B+c

c= y intercept.

therefore the answer is (0,-7)

Answer:

the y intersept is (0,-7)

Step-by-step explanation:

Answer:

2/18 or if needed simplified 1/9. count all the people you get 18 the red head is 2.

Answer:

2 out of 18

Step-by-step explanation:

5+2+2+9= 18     redheads = 2

Answer:

vertex is (-2,0)

Step-by-step explanation:

Answer:

C, 11/12.

Step-by-step explanation:

There is only one February in one year, and there are eleven other months (January, March, April, May, June, July, August, September, October, November, December) so therefore 11/12 is the correct answer.

Answer:

x=3, x=-1

Step-by-step explanation:

|x-1|-1=1

Add 1 to each side

|x-1|-1+1=1+1

|x-1|=2

Now set the absolute value to ±2

x-1 = 2     and x-1 = -2

Add 1 to all sides

x-1+1 = 2+1         x-1+1 = -2+1

x=3                       x = -1

Answer:

B.

Step-by-step explanation:

Answer:

it say 5 points scam

Step-by-step explanation:

Answer:

Should be around 3.60555

Step-by-step explanation:

Round it to whichever place it needs to be rounded

Answer:

yes

Step-by-step explanation:

y=-16r^2+63r+4

maximum value of y :

y'=0

-32r +63=0

r= 63/32

y = -16(63/32)²+63(63/32)+4

= -4 + 124 + 4 = 124 ft

124 > 68

the Arrow can pass over the tree

Answer: 24

Step-by-step explanation: First, you fill in the values for each letter; replace any a with 12, replace any b with 6, and replace any c with 3. Then, enter the equation into the calculator like so, and it should be equal to 24.

I hope this helps. Have a nice day.

Answer: Down

Step-by-step explanation:

down nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Answer:

44

yes. the total cost is 68 which is less than 70

Step-by-step explanation:

There is positive proportionality is two variables are positively related to each other.

The equation for direct proportionality =

y = bx

where y = dependent variable

b = constant

x = independent variable

amount of gasoline = b x length of the trip  

16 = b x 145

b = 16/145 = 0.110345

a. 400 x 0.110345 = 44

total litres used for the trip = 44 + 16 = 60

total cost of the trip = 60 x 1.13 = 67.8

total amount spent on gasoline is 67.8. this is less than the budget

Answer:

n= 75

y= 75

z= 50

p= 105

other n across from p= 105

Step-by-step explanation:

n and y are the same since the triangle is isoseles.

p is supplemetary to n

z and 50 are opposites in a quadrilateral

Answer:

Your answer is D

Step-by-step explanation:

I literally have an Math Expert right next to me and he verified this answer!

Plz gimme a like!!

Answer:

25.5 = c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

17^2 + 19 ^2 = c^2

289+361 = c^2

650 = c^2

Take the square root of each side

sqrt(650) = sqrt(c^2)

25.49509757=c

To the nearest tenth

25.5 = c

Answer:

C = 25.5

Step-by-step explanation:

17² + 19² = x²

289 + 361 = x

289 + 361 = 650

√650 = 25.495097567963924150141120545114

25.495097567963924150141120545114 ≅ 25.5

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

The value of the function at x=-1 can be found by substituting that value for x and doing the arithmetic.

  f(-1) = 1/3(-1)³ -(-1)

  f(-1) = -1/3 +1 = 2/3

The relative maximum value is 2/3.

Answer:

36y⁴ + 60y⁶ + 25y⁸

Step-by-step explanation:

(6y² + 5y⁴)² = (6y² + 5y⁴)(6y² + 5y⁴)

we can use the FOIL method to get:

36y⁴ + 30y⁶ + 30y⁶ + 25y⁸

we can simplify the two middle terms and get:

36y⁴ + 60y⁶ + 25y⁸

Answer:

[tex]\left(6y^2+5y^4\right)^2[/tex]

[tex](6y^2+5y^4)^2=36y^4+60y^6+25y^8[/tex]

[tex]=\left(25y^8+60y^6+36y^4\right)[/tex]

[tex]=\left(36y^4+60y^6+25y^8\right)[/tex]

[tex]=36y^4+60y^6+25y^8[/tex]

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

hope it helps...

have a great day!!

Let's think of this like a point. We know the y-value, but not the x-value. Therefore, in order to find b, we should plug in our known y-value, 19, for r(x).

19 = 2b + 1 || We can leave it as x in our equation or change it to b. Either way you will get the same answer. I changed it to b in this case just to follow through with what the question is asking.

18 = 2b

b = 9

Hope this helps!! :)

Answer:

9

Step-by-step explanation:

They are asking what value of x can you input into 2x+1 so that the outpot is 19.

In other words, you need to solve 2x+1=19.

Subtracting 1 on both sides gives: 2x=18.

Dividing 2 on both sides gives: x=9.

So r(9)=19 since 2(9)+1 is 19.

Answer:

0.51

Step-by-step explanation:

Answer:

P  2.680          S  2.920     T    4.200

Step-by-step explanation:

 S = seconde    

 Premiere =  S-240

Troisieme = 3/4( 2S -240)

S + S-240 + 3/4(2S-240) = 9800

Multiplie  tout par 4 pour eliminer la fraction

4S + 4S -960 + 6S - 720  =  39200

14 S = 40.880

S = 2.920

P = 2.920-240 = 2.680

T =3/4(5.600) = 4.200

2.920  + 2.680 + 4.200  = 9.800

Answer:

The  co-ordinates of the other corner of this side which is 3 meter from the edge is (3,3)

Step-by-step explanation:

Given

One corner of the solar panel is (3,6)

The co-ordinates of the other corner of this side which is 3 meter from the edge is

X co-ordinates = 3

Y co-ordinates = 6-3 = 3

The  co-ordinates of the other corner of this side which is 3 meter from the edge is (3,3)