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Tamiku [17]
3 years ago
12

Please help!!! I am stuck on this problem. Find the equation of the parabola given that the vertex is (-2,-20) and the y-interce

pt is (0,-12). The part where I input the answer is written as _x^2 + _x + _. However, for the last term I keep getting -12 but the last term is positive in the answer choice. I've used both equations of y-k = a(x-h)^2 and also the equation y=ax^2+bx+c.
Mathematics
1 answer:
madam [21]3 years ago
8 0
Easy

ok, so

for y=a(x-h)^2+k
the vertex is (h,k)
given that the the vertex is (-2,-20)
y=a(x-(-2))^2+(-20)
y=a(x+2)^2-20
find a
when x=0, then y=-12
-12=a(0+2)^2-20
-12=a(2)^2-20
8=4a
2=a

equation is
y=2(x+2)^2-20
if the last term is positive, then maybe y=2(x+2)^2+(-20)?
unless you typed something wrong, then you are right that the last term is -20
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Number of tacos sold is 65 and number of burritos sold is 40

<h3><u>Solution:</u></h3>

Given that Aiden sells each taco for $4.75 and each burrito for $7

Let the number of tacos sold be "t" and number of burritos sold be "b"

Given that Aiden sold 25 more tacos than burritos

t = b + 25 ---- eqn 1

Also given that yesterday Aiden made a total of $588.75 in revenue

number of tacos sold x cost of each tacos + number of burritos sold x cost of each burritos = 588.75

t \times 4.75 + b \times 7 = 588.75

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Substitute eqn 1 in eqn 2

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4.75b + 118.75 + 7b = 588.75

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5 0
3 years ago
There is a parallelogram ABCD with diagonals AC and BD. The diagonals AC and BD intersects each other at point E. Side AB is con
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Answer:

SAS theorem

Step-by-step explanation:

Given

\square ABCD

\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD

\angle BAC = \angle  DCA

Required

Which theorem shows △ABE ≅ △CDE.

From the question, we understand that:

AC and BD intersects at E.

This implies that:

\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC

and

\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED

So, the congruent sides and angles of △ABE and △CDE are:

\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD ---- S

\angle BAC = \angle  DCA ---- A

\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED or \[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC  --- S

<em>Hence, the theorem that compares both triangles is the SAS theorem</em>

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2 years ago
Can a triangle have angle measures as 140,43, and 7
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The angles in a triangle always add up to exactly 180 degrees.  To see if this can be a triangle, add up the given angle measures.  If the sum is not 180, then it cannot be a triangle.

140+43+7=190

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Hope this helps!!

3 0
3 years ago
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