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Vesnalui [34]
3 years ago
12

The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. find an equation for the p

arabola that passes through the points (−1, −10), (1, −6), and (2, −13).
Mathematics
1 answer:
sattari [20]3 years ago
7 0
To solve the problem, substitute the given points for x in the given equation to get

-10=(-1)^2a+(-1)b+c\Rightarrow-10=a-b+c \\ -6=(1)^2a+(1)b+c\Rightarrow-6=a+b+c \\ -13=(2)^2a+(2)b+c\Rightarrow-13=4a+2b+c

Solving the three equations simultaneously, we have:

a = -3, b = 2 and c = -5

Therefore, the required equation is

y=-3x^2+2x-5
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lana [24]

Answer:

Question 4: 20 + 6 + 6 + 12 + 16 = 60 yd^{2}

Question 5: 144 + 90 + 90 + 48 + 48 = 420 m^{2}

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Step-by-step explanation:

Hope this helps!

6 0
3 years ago
What is the value of E(-1) n (3n+2)?
RoseWind [281]
<h3>Answer:  C) 6</h3>

====================================================

Explanation:

The weird looking E symbol is the greek uppercase letter sigma. It refers to a sum.

It tells us to add up terms in the form (-1)^n*(3n+2) where n is an integer ranging from n = 1 to n = 4.

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

If n = 1, then we have

(-1)^n*(3n+2) = (-1)^1*(3*1+2) = -5

Let A = -5 as we'll use it later.

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

If n = 2, then

(-1)^n*(3n+2) = (-1)^2*(3*2+2) = 8

Let B = 8 since we'll use this later as well

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

If n = 3, then

(-1)^n*(3n+2) = (-1)^3*(3*3+2) = -11

Let C = -11

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

If n = 4, then

(-1)^n*(3n+2) = (-1)^4*(3*4+2) = 14

Let D = 14.

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

We'll add up the values of A,B,C,D to get the final answer

A+B+C+D = -5+8+(-11)+14 = 6

This means that

\displaystyle \sum_{n=1}^{4}(-1)^n(3n+2) = 6

6 0
3 years ago
Look at this graph:
Sergio [31]

Answer:

3/2

Step-by-step explanation:

slope=rise/run=30/20=3/2

7 0
3 years ago
which expression represents purely real numbers and which expression represents non-real complex number?​
Lyrx [107]

Answer:

Step-by-step explanation:

Complex numbers are the numbers represented by the expression = a + bi

Here a = real part of the number

bi = imaginary part

a and b are the real numbers.

i^9=(i^2)^4.(i)

    =(-1)^{4}.i [Since, i^2=-1]

    =i

Therefore, its a non real complex number.

2 - \sqrt{-49} = 2-\sqrt{(-1)(7)^2}

               = 2-7\sqrt{-1}

               = 2-7i

This number is a Non real complex number.

\sqrt{(-18)^2}=18\sqrt{-1}

              = 18i

It's a non real complex number.

3 + 2i

It's a non real complex number.

-289

It's a purely real number.

4-32i^2=4-32(-1)

             = 4 + 32

             = 36

It's a purely real number.

6 0
3 years ago
What is the answer to this question?<br> I am confused.
olga nikolaevna [1]

Answer:

y=88 x=42

Step-by-step explanation:

Since the total measurments of one triangle have to equal 180 and one angle is already 50, and the angle on the oppisite side of the y angle is 90 the only logical number for y would be 88. Hope this helped :)

5 0
3 years ago
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