What is two point five takeaway eight

The equation (x-6)^2/16 + (y+7)^2/4 = 1 represents an ellipse. What are the vertices of the ellipse?

topjm [15]

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

$\frac{(x-6)^2}{16}+\frac{(y+7)^2}{4}= 1$

It can be rewritten as

$\frac{(x-6)^2}{4^2}+\frac{(y+7)^2}{2^2}= 1$ .....(1)

The standard form of an ellipse is

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

Where (h,k) is center of the ellipse.

If a>b, then the vertices of the ellipse are $(h\pm a, k)$ .

From (1) and (2) we get

$h=6,k=-7,a=4,b=2$

Since a>b, therefore the vertices of the ellipse are

$(h+a, k)=(6+4,-7)\Rightarrow (10,-7)$

$(h-a, k)=(6-4,-7)\Rightarrow (2,-7)$

The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.

5 0

2 years ago

Read 2 more answers

Please help me I need N Please help please I'm begging

Bad White [126]

58 degrees

Explanation
If you have a triangle with the angle measures of abc as 58 degrees, 102 degrees and 20 degrees you can multiply them in order of abc so 58 degrees is angle a, 102 degrees is angle b and 20 degrees is angle c. Then you just put in angle a for d which would be 58 degrees and angle e for b 102 degrees and angle f for c which would be 20 degrees

3 0

2 years ago

Help guys make p da subject of the formula

Basile [38]

Answer:

$p=\dfrac{m}{k-s}$

Step-by-step explanation:

When they ask you to make a variable the "subject of the formula", they're basically asking you to build a "machine" for it. In the expression $y=mx+b$ , for instance, if we know what m, x, and b are, we can plug them all in and out comes a value for y! To build that machine, we need to get it by itself on one side of the equation.

So, we want to build this machine for p, and the equation we have to build it out of is

$1=\dfrac{pk}{m+sp}$

One think we can immediately say about this equation: for a fraction to be equal to one, its numerator and denominator have to be equal to each other. So we can say

$m+sp=pk$

Ok, what next? Well, if we want p by itself, we need to somehow peel it off of that sp and pk. Let's collect them on the right side by subtracting sp from both sides:

$m=pk-sp$

p is a common factor of both sp and pk, so we can peel it away using the distributive property:

$m=p(k-s)$

And from here, we can divide both sides by $k-s$ and we'll have p as our subject:

$\dfrac{m}{k-s}=p$ or $p=\dfrac{m}{k-s}$

So if we know m, k, and s, we can easily solve for p. If m = 4, k = 2, and s = 0:

$p=\frac{4}{2-0} =\frac{4}{2}=2$

3 0

2 years ago

Please help me find x using pythagorean theorem

astra-53 [7]

a2+b2=c2

a=x

b=24

c=26

a2+24 squared=26 squared

a2+576=676

-576 -576

a2=100

Then, square root both sides.

It should be a/x=10

3 0

3 years ago

Read 2 more answers

If the area A of a triangle is 60sq m (square meters) and the base b is 20m (meters) what is the altitude of h

umka2103 [35]

Answer:

The altitude or height of the triangle is 6 meters.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Area of a triangle = 60 m²

Base = 20 m

2. What is the altitude (h) of the triangle?

Let's recall that the formula of the area of a triangle is:

Area = (Base * Height)/2

Replacing with the real values, we have:

60 = (20 * Height)/2

60 * 2 = (20 * Height) (Multiplying by 2 at both sides)

120 = 20 Height

Height = 120/20 = 6 meters

The altitude or height of the triangle is 6 meters.

8 0

3 years ago

What is two point five takeaway eight_÷2.5=8