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Vlad1618 [11]
3 years ago
12

Find the length of AB if AC=18 and BC=7

Mathematics
1 answer:
kotegsom [21]3 years ago
3 0

Answer:

25

Step-by-step explanation:

Step 1:

AC + BC = AB       Equation

Step 2:

18 + 7 = AB     Substitute

Answer:

25     Add

Hope This Helps :)

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Prod
Lapatulllka [165]

Answer:

Step-by-step explanation:

If n is even then the product  is positive.

If n is odd - the product is negative.

4 0
3 years ago
What is the coefficient of x7 in the expansion of (1 + x)11?
eduard
You can choose to expand the equation to find the coefficient of x7 but that would take a lot of time. Here is a useful tactic that can help; 

11C(something)(1)(x)⁷ ----> This gives the coefficient of x⁷
11C7(1)⁴(x)⁷ ----> You know that pascal's triangle is equal on both sides 
11C7×1⁴ = coefficient of x⁷ (just ignore x⁷)
330x1⁴=330 

This means that the coefficient of x⁷ is 330. You can double check by expanding the equation. If you do not understand what I did there, you can ask me how I got to the solution. 

Hope I helped :) 
4 0
3 years ago
Tom, Larry, Roberta, and John enjoy roller Coasters. Whenever a new roller Coaster opens near their town,
vazorg [7]

Answer:

  • <u>a) degree 3</u>
  • <u>b) 3 times</u>
  • <u>c) cubic</u>

<u></u>

Explanation:

The function that represents the first drop of the roller coaster is:

       h(t)=t^3-12t^2+35t,

where t is the  time in seconds and h is the height in feet.

<u></u>

<u>a) What is the degree of the function?</u>

The degree of a polynomial is the highest power of the variable, t. Thus, the degree of the function is 3.

<u>b) According to the degree of the function, how many times should the roller coaster hit the ground?</u>

The number of complex roots of a polynomial is equal to the degree of the polynomial. Thus, in this case this polynomial has 3 roots. Each root represents the value of the polynomial that makes it equal to zero, this is:

     t^3-12t^2+35t=0

Thus, since the polynomial function represents the height of the, the value zero represents when the roller coaster hits the ground.

To learn if the three roots are real numbers you can solve the equation, which may be done by factoring the polynomial.

Take t out as common factor:

  • t(t² - 12t + 35)

Find two numbers that add up -12 and its product is 35. Those are -7 and -5. Hence, use the factors t - 12 and t - 5:

  • t ( t - 12) (t - 5) = 0  This is the factored form of the polynomial

Whose solutions are t =0, t = 12, and t = 5. Three real numbers.

Hence, the roller coaster hits the ground three times: first at start, then  at 5 seconds, and finally at 12 seconds.

<u>c) Will the roller coaster be in the form of a linear, quadratic, cubic or quartic graph?</u>

It will be in the form of a cubic graph, becasue a linear graph corresponds to a polynomial of degree 1, a quadratic graph corresponds to a polynomial of degree 2, a cubic graph corresponds to a polynomial of degree 3, and a quartic graph corresponds to a polynomial of degree 4.

5 0
3 years ago
1. Each of three friends—Lin, Jada, and Andre—had the goal of raising $40.
viva [34]
Jin raised 40$ since it was his goal and he reached it
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Here look at this meme
Margaret [11]

Answer:

Lit

Step-by-step explanation:

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