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S_A_V [24]
3 years ago
12

How can you determine whether or not a graph, equation, or table of points is a conic section? Explain how to identify a conic s

ection in each of these cases by giving examples.
PLEASE ANSWER
Mathematics
1 answer:
grigory [225]3 years ago
8 0
Answer:

You can write the equation of a conic section if you are given key points on the graph. An equation has to have x² or y² to create a conic. If neither x or y is squared, then the equation is that of a line. None of the variables of
a conic section may be raised to any power other than one or two.
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
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There are 60 girls and 90 boys in the sixth grade at a middle school. What percent of the sixth graders at this middle school ar
KonstantinChe [14]

Answer:

60%

Step-by-step explanation:

First, find the total number of sixth graders

To do this, add the number of girls and boys together

girls+boys

There are 60 girls and 90 boys

60+90

150

Now, find the percent of sixth graders that are boys

To do this, divide the number of boys by the total number of sixth graders

boys/total sixth graders (part/whole)

There are 90 boys, and 150 total sixth graders

90/150

0.6

Convert to a percent. Multiply by 100 or move the decimal place two spots to the right

0.6*100=60

0.6-->6.0-->60.

So, 60% are boys

3 0
3 years ago
Parallelogram RSTU is rotated 180° clockwise
julia-pushkina [17]

Answer:

Two pairs of parallel sides

Step-by-step explanation:

The given transformation performed on parallelogram RSTU = 180° clockwise rotation

Given that a rotation is a form of rigid transformation, the shape and size of the preimage RSTU will be equal to the the shape and size of the image R'S'T'U'

Therefore, RSTU ≅ R'S'T'U' and R'S'T'U' is also a parallelogram with two pairs of parallel sides.

4 0
3 years ago
Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic ha
Anestetic [448]

Answer: $22.12

Step-by-step explanation:

I just did the compound interest formula which is

starting amount * (1. interst rate) ^ number of years

example if you have 100$ and you want to know how much it is worth if it appretiates by 7% of a period of 20 years it would look something like this;

100 * (1.10) ^20 = 672.74$

but since you have to figure out what it was in 2008 which was exactly half way in the period you divide the exponent by half so your formula should be;

I know the answer is right because I asked my teacher and it's correct.

REAL EXAMPLE: 18 * (1.51) ^.5 = 22.12$

5 0
3 years ago
Evaluate the expression for the given value of the variable.<br><br><br>n=500<br>∛n/4+n/10=?
schepotkina [342]

Answer:

55

Step-by-step explanation:

To solve the expression, \sqrt[3]{\frac{n}{4}} + \frac{n}{10} substitute n = 500 and simplify according to order of operations.

\sqrt[3]{\frac{500}{4} } + \frac{500}{10}\\\\\sqrt[3]{125}+50\\ 5+50\\\\55

4 0
3 years ago
Kindly solve this question 6 too !!
Shkiper50 [21]

Answer:

x=1

Step-by-step explanation:

~~~~~x = \dfrac{1}{2 - \dfrac 1{2-\dfrac{1}{2-x}}}\\\\\\\implies x = \dfrac{1}{2 - \dfrac 1{\dfrac{4-2x-1}{2-x}}}\\\\\\\implies x= \dfrac{1}{2 - \dfrac{2-x}{3-2x}}\\\\\\\implies x = \dfrac{1}{\dfrac{6-4x-2+x}{3-2x}}\\\\\\\implies x = \dfrac{3-2x}{4-3x}\\\\\\\implies 4x -3x^2 = 3-2x\\\\\\\implies 3x^2 -4x +3-2x = 0\\\\\\\implies 3x^2 -6x +3 = 0\\\\\\\implies 3(x^2 -2x +1) =0\\\\\\\implies x^2 -2x +1 = 0\\\\\\\implies (x-1)^2 = 0\\\\\\\implies x -1 = 0\\\\\\\implies x = 1

7 0
3 years ago
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