How to find the equation of a hyperbola when given the vertices and foci

Answers

Answer 1
Answer:

Step-by-step explanation:

The vertices and foci are on the x-axis. Thus, the equation for the hyperbola will have the form x2a2−y2b2=1 x 2 a 2 − y 2 b 2 = 1 . The vertices are (±6,0) ( ± 6 , 0 ) , so a=6 a = 6 and a2=36 a 2 = 36 . The foci are (±2√10,0) ( ± 2 10 , 0 ) , so c=2√10 c = 2 10 and c2=40 c 2 = 40 .


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Rename the percent as a simplified fraction or mixed number. 1.) 30% 2.)150%

Answers

30% = 30/100 = 3/10
150% = 150/100 = 15/10 = 3/2 = 1 1/2
1.)  IN SIMPLIFIED FRACTION: 1  OVER 12
2.)  IN SIMPLIFIED FRACTION: 2 OVER 3

In circle F, the measure of ∠AFE is equal to 120° and the measure of arc BD is equal to 20°.What is the measure of ∠C?



100°

40°

60°

50°

Answers

Answer:

40

Step-by-step explanation:

AFE=120 so arc AE is also 120

those 3 angles add up to 180 and 180-120-20=40

The measure of ∠C is 40°.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Angle measure of central angle is equals to measure of intercepted arc.

External angle formed outside a circle,

= Half the difference of the major and minor arc =

Angle measure of AFE

= arc AE = 120°

Thus:

m∠C = 1/2(120 - 40)

m∠C = 40°

So, the angle measure of C is 40°

Therefore, 40° is the measure of ∠C.

To learn more about the angle measure;

brainly.com/question/14684647

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In PQRS, PR and QS intersect at T. What additional information is needed to conclude that PQRS is a rectangle

Answers

If it's congruent and similar

Is the line description for x+3y=1 slanted downwards?

Answers

Yes it is (and instead of saying downwards, it's clearer to say that as the x value increases, y decrease). 
If you chance the formula into y = mx +b form, you get y = -1/3 + 1/3, and since m, or the slope, is negative, the line will decrease from right to left across the graph

Answer: yes, it is

Step-by-step explanation:

Solve 19.9 = 9y - 8.

Answers

19.9=9y-8
+8
so it is
27.9=9y
÷9y
so your answer is
y=3.1
if solving for y, the answer would be y=3.1

Becky lives 5 5/8 miles from school. Steve lives 1 5/9 times as far from the school as Becky. How far does Steve live from the school?

Answers

Steve lives 1 5/9 as far as Becky so how far he lives should be 1 5/9(5 5/8) which is equal to 8.75 or 8 3/4 (I used a calculator but if you were to do this by hand it would be much easier to turn your mixed numbers into improper fractions)