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8_murik_8 [283]
3 years ago
12

Find the equation in standard form of the parabola passing through the giving points.

Mathematics
1 answer:
zaharov [31]3 years ago
4 0

Let y = ax²+bx+c then substitute all of orders. we'll be doing equations system.

a-b+c=0\\c=3\\a+b+c=2

Ok we are at this.

Substitute c = 3 into equation 1 and equation 3.

a-b+3=0\\a-b=-3

a+b+3=2\\a+b=2-3\\a+b=-1

then addition and subtract for a-b = 3 and a+b = -1

a-b=-3\\a+b=-1\\2a=-4\\a=-2

Therefore a = -2, substitute a = -2 in a-b+c=0 or a+b+c=2 but i'm doing a-b+c=0 one.

a-b+c=0\\\\-2-b+3=0\\-b+1=0\\-b=-1\\b=1

Therefore b = 1, substitute both a, b and c into y=ax²+bx+c as we get,

y=-2x^2+x+3 #

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On a​ map, 1 inch equals 15 miles. Two cities are 2 inches apart on the map. What is the actual distance between the​ cities?
BabaBlast [244]
Since the scale is 15 miles per inch all you need to do is multiply.
2in(15)=30
The cities are 30 miles apart.
4 0
3 years ago
On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took
dem82 [27]

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

\dfrac{1116.5+r}{12}=98.04

We can now solve for r algebraically, first by multiplying both sides by 12:

1116.5+r=98.04(12)\\1116.5+r=1176.48

And then subtracting 1116.5 from both sides:

r=1176.48-1116.5\\r=59.98

6 0
3 years ago
Please help giving brainlest
Likurg_2 [28]

Answer:

8 ft; 6 m; 28pi ft; 10pi mm

Step-by-step explanation:

1. Radius = diameter/2

16/2=8

Therefore, 8 ft

2. Diameter= radius * 2

3*2=6

Therefore, 6 m

3. Circumference = 2*pi*r

2*pi*14=28pi

Therefore, 28pi ft

4. Circumference = pi*d

Therefore, 10pi mm

I hope this helped and have a good rest of your day!

6 0
3 years ago
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Will you pack all 106 cookies if each package has two cookies
MrRissso [65]

Answer:

53 packages

Step-by-step explanation:

3 0
2 years ago
About 60% of people in North America know how to swim. Use that statistic to answer the questions below.
kenny6666 [7]

Answer:

(Picture)

Step-by-step explanation:

To find 60% of people you just multiply .6 with the number you are trying to find 60% of. Like 100. 100 times .6 = 60.

8 0
3 years ago
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