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tresset_1 [31]
3 years ago
11

Factor the trinomial x^2+10x+16

Mathematics
2 answers:
Amanda [17]3 years ago
7 0
(x + 8)(x + 2)
find 2 numbers that add to 10 and multiply 16
Ulleksa [173]3 years ago
5 0
I believe it’s X^2 + 10x + 41
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The graph of f(x) = x2 was transformed to create the graph of g(x) = (x − 7.5)2. Which of these describes this transformation?
QveST [7]

Answer:

  A.  A horizontal shift to the right 7.5 units

Step-by-step explanation:

Replacing x with x-7.5 shifts the graph 7.5 units to the <em>right</em>.

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In general, g(x) = f(x-h)+k will shift h units right and k units up. In this problem there is no vertical shift.

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A speed limit of 100 kilometers per hour is approximately equal to 62mph. write an equation relating kilometers per hour to mile
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Step-by-step explanation:

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4 0
2 years ago
I do not understand the process/steps to do this. ​
VARVARA [1.3K]

Answer:

Step-by-step explanation:

Remark

An angle bisector sets up a triangle ratio that looks like the following proportion.

3x - 3               5x

======   =      ======             Cross multiply

24                     44    

44*(3x-3) = 24*5x                 Remove the brackets on the left

132x - 132 = 24*5x               Combine the right side

132x - 132 = 120x                 Add 132 to both sides

132x = 120x + 132                Subtract 120x from both sides

132x- 120x = 132                  Combine

12x = 132                              Divide by 12

x = 11

 

8 0
3 years ago
A ball dropped from the top of a building can be modeled by the function f(t)=-16^2+36, where t represents time in seconds
Viefleur [7K]

Answer:

The ball is dropped from a height of 36 feet

The bee and the ball will collide after approximately 1.3 seconds

The bee and the ball will collide at approximately 8 feet above the ground

The ball hits the ground after 1.5 seconds

Step-by-step explanation:

<u><em>The complete question is</em></u>

A ball dropped from the top of the building can be modeled by the function f(t)=-16t^2 + 36 , where t represents time in seconds after the ball was dropped. A bee's flight can be modeled by the function, g(t)=3t+4, where t represents time in seconds after the bee starts the flight.

The graph represents the situation.

select all that apply

1) The bee launches into flight from the ground.

2) The ball is dropped from a height of 36 feet.

3) The bee and the ball will collide after approximately 1.3 seconds.

4) The bee and the ball will collide after approximately 8 seconds.

5) The bee and the ball will collide at approximately 8 feet above the ground.

6) The bee and the ball will not collide.

7) The ball hits the ground after 1.5 seconds

see the attached figure to better understand the problem

<u><em>Verify all the options</em></u>

case 1) The bee launches into flight from the ground.

The statement is false

Because

we have

g(t)=3t+4

For t=0

g(t)=3(0)+4=4\ ft

That means ----> The bee launches into flight from a height 4 feet above the ground

case 2) The ball is dropped from a height of 36 feet

The statement is true

Because

For t=0

f(t)=-16(0)^2+36=36\ ft

case 3) The bee and the ball will collide after approximately 1.3 seconds

The statement is true

Because

Equate f(t) and g(t)

-16t^2+36=3t+4

-16t^2-3t+32=0

solve the quadratic equation by graphing

The solution is t=1.324 sec

see the attached figure N 2

case 4) The bee and the ball will collide after approximately 8 seconds

The statement is false

Because, the bee and the ball will collide after approximately 1.3 seconds (see case 3)

case 5) The bee and the ball will collide at approximately 8 feet above the ground

The statement is true

Because

For t=1.324 sec

substitute the value of t in f(t) or g(t)

g(t)=3(1.324)+4=7.97\ ft

case 6) The bee and the ball will not collide

The statement is false

see case 3) and case 5)

case 7) The ball hits the ground after 1.5 seconds

The statement is true

Because

we know that

The ball hit the ground when the value of f(t) is equal to zero

so

For f(t)=0

-16t^2+36=0

t^2=\frac{36}{16}

t=\frac{6}{4}=1.5\ sec

4 0
2 years ago
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Answer: For me it is the answer is the a I do not know if my answer will help you

5 0
2 years ago
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