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2 years ago

9

Which pair of angles has congruent values for the sin x and the cos yº?

1 answer:

kirza4 [7]2 years ago

3 0

Answer:70;20

Step-by-step explanation:

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Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (–10, 6), (4, 6).

fomenos

Answer:

$\frac{(x--3)^2}{49} -\frac{(y-6)^2}{32}=1$

Step-by-step explanation:

The standard equation of a horizontal hyperbola with center (h,k) is

$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is $2a=|4--10|$ .

$\implies 2a=|14|$

$\implies 2a=14$

$\implies a=7$

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is $(\frac{-10+4}{2},\frac{6+6}{2}=(-3,6)$

We need to use the relation $a^2+b^2=c^2$ to find $b^2$ .

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

$c=|6--3|=9$

$\implies 7^2+b^2=9^2$

$\implies b^2=9^2-7^2$

$\implies b^2=81-49$

$\implies b^2=32$

We substitute these values into the standard equation of the hyperbola to obtain:

$\frac{(x--3)^2}{7^2} - \frac{(y-6)^2}{32}=1$

$\frac{(x+3)^2}{49} -\frac{(y-6)^2}{32}=1$

7 0

2 years ago

Pls help and also no links plz

Anettt [7]

Answer:

I think it's 5 or7

Step-by-step explanation:

hope it helps you

8 0

2 years ago

What number should be placed in the box to help complete the division calculation?

Korolek [52]

it would be 1,898 hope this helps

4 0

2 years ago

Read 2 more answers

How do I do this and solve it

Nutka1998 [239]

Hey there! :D

Since the sides are equal in length, we know this is an isosceles triangle. It will have two equal angles.

We already know the vertex is 80 degrees, so the bottom two angles will be equal in measure. All angles in a triangle equal 180 degrees

180-80= 100

100/2= 50

x= 50

I hope this helps!
~kaikers

4 0

2 years ago

Read 2 more answers

7/16 times 2 PLEASE ANSWER SIMPLIFY AND ANSWER HAS TO BE A SIMPLIFIED FRACTION PLS PLS PLS MAKE IT A MIXED NUMBER

Rzqust [24]

Answer:

$\frac{14}{16}$ simplified to $\frac{7}{8\\}$

Step-by-step explanation:

$\frac{7}{16} times \frac{2}{1} you get \frac{14}{16} \\this \\simplifies \\to \frac{7}{8}$

8 0

2 years ago