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3 years ago

Hey can anyone please give me an explanation to the conic section rules like the circle and the ellipse, parabola and hyperbola

1 answer:

4 0

Post a specific question about the conic section. Your best bet is to search You Tube for video clips about the conic section.

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Evaluate |6(-7)-4| - |-4|·|7| + 8(3)

Margaret [11]

$|6( - 7) - 4| - | - 4| \times |7| + 8(3)$
$|168| - | - 4| \times |7| + 24$
$168 - 4 \times 7 + 24$
PEMDAS
$168 - 28 + 24$
$168 - 52$
$116$

5 0

2 years ago

Read 2 more answers

Students surveyed boys and girls separately to determine whether they wanted outdoor

vazorg [7]

Answer:

111 girls

Step-by-step explanation:

Given

Boys: Every 17 outdoor ≈ 20 indoor

Girls: 3:2 outdoor to indoor

First, we'll determine the ratio of outdoor to indoor for boys;

Recall that;

17 choose indoor while 20 choose outdoor;

The ratio of outdoor to indoor is;

20 : 17

Convert to fraction:

$\frac{20}{17}$

Let x represent number of boys that choose indoor when 85 boys chose outdoor;

The ratio of outdoor to indoor is;

x : 85

Convert to fraction

$\frac{x}{85}$

Equate both fractions

$\frac{20}{17} = \frac{x}{85}$

Multiply both sides by 85

$85 * \frac{20}{17} = \frac{x}{85} * 85$

$85 * \frac{20}{17} = x$

$\frac{1700}{17} = x$

$100 = x$

$x = 100$

This implies that when 85 chose outdoor, 100 chose indoor for boys;

Total = 100 + 85

Total = 185 boys surveyed

Recall that the question says the same number of boys and girls were surveyed

This implies that

Total Girls Surveyed = 185

For the girl ratio;

Outdoor to Indoor= 3:2

Number of girls that chose outdoor is as follows;

$Outdoor = \frac{3}{3 + 2} * Total$

$Outdoor = \frac{3}{3 + 2} * 185$

$Outdoor = \frac{3}{5} * 185$

$Outdoor = \frac{555}{5}$

$Outdoor = 111$

Hence, the number of girls that chose outdoor is 111

4 0

2 years ago

Under his cell phone plan, Alexander pays a flat cost of $69.50 per month and $5 per gigabyte. He wants to keep his bill under $

astraxan [27]

Answer- 5g+ 69.50= 85 ; 3.1 (3)

An inequality is an equation with letters and number that sum to ONE whole.

In this case we have a flat cost, which is standalone and 5 dollars per gigabyte which is not standalone. Let G stand for each gigabyte.

This means our equation is 5g(five dollars times each gigabyte used) +69.50 that is gives. He has to keep his entire month under 85 dollars, which means our equation must equal 85. Now our equation will look like this.

Inequality- 5g+ 69.50= 85.

In order to solve how many gigabytes will be used we solve our equation backwards. We subtract 69.50 from 85,because we know that must has already been spent. This gives us 15.50. This means we will have to divided 15.50 into five dollars to see how many gigabytes are spent. 15.50 divided into five is 3.1 gigabytes.

This means Alexander will have to use 3.1 (or 3 if you have to round) gigabytes in order to spend 85 dollars or less per month.

4 0

1 year ago

Read 2 more answers

Rationalise the denominator of (12)/(\sqrt(10)+\sqrt(7)+\sqrt(3))

jasenka [17]

Answer:

$\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }$