MATHEMATICS HIGH SCHOOL

Find an equation in standard form for the ellipse with the vertical major axis of length 18 and minor axis of length 16.

Answers

Answer 1

Answer:

Answer:

x²/64 + y²/81 = 1

Step-by-step explanation:

Standard form of an equation for the ellipse is $(x^(2) )/(a^(2))+(y^(2) )/(b^(2) )=1$

Here b is the length of vertical major axis = 9

and minor axis of length a = 8

Therefore the equation of the ellipse will be

$(x^(2) )/(8^(2) )+(y^(2) )/(9^(2) ) =1$

$(x^(2) )/(64)+(y^(2) )/(81)=1$

So the answer is x²/64 + y²/81 = 1

Answer 2

Answer: Let us assume then that the center is the origin. If the major axis is 18, then a = 9 and a^2=81. If the minor axis is 16, then b = 8 and b^2=64. Now you can write the equation. Remember that this ellipse is vertical and so a^2 goes under y^2

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How many inches are in 13 and a half feet

Answers

The best way to work this is out, is to find out how many inches there are in a foot, and half a foot. One foot is equal to 12 inches, and half a foot is equal to 6 inches. It's best to find the whole numbers first. The best way to do this is to simply multiply the length (12in) by the feet (13), 13x12= 156 inches.
You've then got half a foot, which is six inches, so you then have to add this to the 156, giving you 162.
In thirteen and a half feet, there are 162 inches,
Hope this helps :)

A polygon has 35 diagonals. How many sides does it have?

Answers

$d=35\n d=(n(n-3))/(2)\n d=(n(n-3))/(2)\n35=(n(n-3))/(2)\n 70=n^2-3n\n n^2-3n-70=0\n n^2-10n+7n-70=0\n n(n-10)+7(n-10)=0\n (n+7)(n-10)=0\n n=-7 \vee n=10\n\n n=10$

The dinosaur's ribs and arms are at the intersection of the diagonals shown in the diagram. Compute their equations!First, compute the slopes:

Slope of l:
Slope of m:

Answers

Answer:

Slope of l:

0.5

Slope of m:

✔-0.75

Step-by-step explanation:

Line l:

y - 4 = 0.5(x - 1)

Line m:

y - 5 = -0.75(x - 43)

last part is Line l:

y = 0.5x + 3.5

Line m:

y = -0.75x + 37.25

Answer:

(Did it on edge)

Step-by-step explanation:

What ratios are equivalent to 26:14

Answers

Answer:

The most reduced ratio equivalent to 26:14 is 13:7.

Step-by-stepExplanation:

In order to reduce a ratio, we find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD.

The GCD of 26 and 14 is 2.

Dividing both the numerator and denominator of 26:14 by 2 gives us 13:7.

Therefore, 13:7 is the most reduced ratio equivalent to 26:14.

Answer:

13:7

Step-by-step explanation:

just divide it by 2 it's equivalent

QUICK I NEED HELP! I WILL MARK BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

$y_A = 9x -3x - 4 \ny_A = 6x - 4\n\ny_B = 12x - 4\n\ny_C = 5x + x - 4\ny_C = 6x -4$

Standard equation of a line with slope, m and y - intercept b is y = mx + b.

Clearly. for the second equation has a different coefficient for x.

a ) The coefficient for x , is the slope of the line.

Though the y - intercept for each equation is same = - 4.

For example :

Expression A = 2 , when x = 1

Expression B = 8 , when x = 1

Expression C = 2 , when x = 1

b) From above :

$y_A \ and \ y_C \ are \ the \ same \ expression.$

c) Expression A and C are equivalent because the coefficient of x

is the same for A and C.

Answer:

go a head what can i help you with

How is inflation, the output gap and monetary policy related 2. GDP definition includes Market value, final goods and services , production within acountry and a given period of time. Justify importance of using market value of final goods and services to cal GDP and explain why each component of GDP is important

Answers

Answer:

Check below

Step-by-step explanation:Hi,

Here's a little of Macroeconomics. Especially under Keynes's viewpoint and Economics.

1) These are intertwined concepts: The output gap, Monetary Policy, and Inflation.

Output Gap: This fits as a parameter that shows us if inflation or deflation. Usually, we notice it in case of inflation.

If the demand rises rapidly on a series of products and services an output gap occurs. And subsequently, the prices fly high due to the sudden pressures in the whole chain of supply, causing inflation.

Then the Government to face the inflation makes use of the Monetary policy to slow the inflation rate down is making use of interest rates. By doing that, the Fed or any other Central Bank makes the loans more expensive and helps to decrease the inflation rate.

The Market Value on GDP is not steady, so it is not possible to talk about Gross Domestic Product and exclude how much does it value on the International Market. Let's say a country that almost only produces petrol its GDP is also directly linked to the International value of Petroleum.

Similarly, final goods and services also get into account. Since our economy services are also as valuable as a commodity, or a product, for instance, the banking services on Luxembourg are part of their GDP.

Moreover, a production within a country works like that if a Spanish man works temporarily in Belgium, the value of his work is credited to Spain's GDP.

And finally, since GDP is measured according to period then there's a need to get into account which period are we considering?

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If a jigsaw puzzle is priced 17.00 but cost 17.68 at the register what is sales tax rate

1. Heather has a very important exam to take in the morning. Since she wants to be sure that she will wake up in time, she sets two alarm clocks. One has a .95 probability that it will ring, and the other has a .98 probability that it will ring. She sets both clocks. What is the probability that at least one of the alarm clocks will wake her up?A. 0.9025 B. 0.9310 C. 0.9604 D. 0.9800 E. 0.9990

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