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jok3333 [9.3K]
3 years ago
6

Can someone helpp pls

Mathematics
1 answer:
Alexxandr [17]3 years ago
6 0

Answer:

Step-by-step explanation:

You have to solve this as a system. We have 3 coordinates given; the first 2 are given as zeros of the quadratic, the 3rd one is given as a regular coordinate. The zeros of a quadratic are where the y values of a coordinate are 0's because the x-intercepts of a quadratic (aka zeros) exist where y = 0. We use each of those points in the standard form of a quadratic to solve for a, b, and c. First, (0, 0):

0 = a(0)^2+b(0)+c which gives us that c = 0. We'll use that value of c as we move forward with the problem. Next we'll use (3, 0):

0=a(3)^2+b(3)+0\\0 =9a+3bHold that thought for a minute or 2. Next we'll use the coordinate (1, 6):

6=a(1)^2+b(1)+0\\\\6=a+b Now we have a system that we can solve using either substitution or elimination for a and b. I used elimination:

6  =  a  +  b

0  = 9a + 3b  and multiply the top equation by -3:

-18  =  -3a  -  3b

 0  =   9a  +  3b

so

-18 = 6a and

a = -3. Now back solve for b:

6 = -3 + b so

b = 9 and our quadratic is

y=-3x^2+9x+0 or just

y=-3x^2+9x

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Answer:

8 feet

Step-by-step explanation:

First, draw a picture.  The pole is 22 feet tall.  Katherine is 5.5 feet tall.  She is 24 feet from the pole.  The light from the top of the pole to the tip of her shadow forms two similar right triangles.  The length of her shadow is x.

Now use similar triangles to write a proportion:

22 / (24 + x) = 5.5 / x

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Answer:

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General Formulas and Concepts:

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Order of Operations: BPEMDAS

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -7x + 6

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<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em> [1st Equation]:                                                                           -10x = -7x + 6
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