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Verizon [17]
3 years ago
9

Which points are the vertices of the ellipse? points N and P points O and P points Q and R points S and T

Mathematics
2 answers:
EleoNora [17]3 years ago
7 0

Answer:

points S and T

Step-by-step explanation:

The vertices are the endpoints of the major axis, the axis through the foci, which are points N and P for this ellipse.

Elden [556K]3 years ago
5 0

Answer:

The correct option is 4. Points S and T are the vertices of the ellipse.

Step-by-step explanation:

The end points of the major axis are called vertices of the ellipse and the end points of minor axis are called co-vertices.

The standard form of an ellipse is

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1

If a>b, then vertices are (± a,0) and co-vertices are (0, ± b).

If a<b, then vertices are (0, ± b) and co-vertices are (± a,0).

From the given figure it is clear that major axis is ST and minor axis is QR. So, points S and T are vertices and points Q and R are co-vertices of the ellipse.

Since the end points of the major axis are called vertices of the ellipse, therefore the point S and T are the vertices of the ellipse.

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Answer:

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Step-by-step explanation:

5 0
3 years ago
25x power square - 36 y power square​
finlep [7]

\implies {\blue {\boxed {\boxed {\purple {\sf {  (5x + 6y)(5x - 6y) }}}}}}

\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}

={25x}^{2}  - 36 {y}^{2}

=  ({5 \times 5)x}^{2}  -  (6 \times 6){y}^{2}

=  ({5x})^{2}  -(  {6y})^{2}

= (5x + 6y)(5x - 6y)

<h3><u>Note</u>:</h3>

{a}^{2}  -  {b}^{2}  = (a + b)(a - b)

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}

3 0
3 years ago
There are three motors available to repair Ralph’s vacuum cleaner. Motor #1 has a 65% chance of breaking by the end of the week.
Orlov [11]

Answer:

0.619

Step-by-step explanation:

from the question we have the following data:

probability of motor 1 breaking = 65% = 0.65

probability of motor 2 breaking = 35% = 0.35

probability of motor 3 breaking = 5% = 0.05

since we have 3 motors the probability of any of them breaking down is  = \frac{1}{3}

but what the question requires from us is the conditional probability of the first one being installed

we have to solve this questions using bayes theorem

such that:

\frac{0.65*\frac{1}{3} }{0.65*\frac{1}{3}+0.35*\frac{1}{3}+0.05*\frac{1}{3}   }

= \frac{0.2167}{0.2167+0.1167+0.0167}

= \frac{0.2167}{0.3501}

= 0.618966

approximately 0.619

therefore the conditional probability ralph installed the first motor is 0.619

8 0
3 years ago
Given that the average rate of change for y = f(x) over the interval [0,3] is −1, the average rate of change over the interval [
Svet_ta [14]

Answer:

Answer is 2

Step-by-step explanation:

We know that average rate of change of a function f(x) in the interval (a,b) is

\frac{1}{b-a} \int\limits^a_b {f(x)} \, dx

Using this we can say that

\int\limits^0_3 {f(x)} \, dx =-1(3)=-3\\\int\limits^2_3 {f(x)} \, dx =5(1)=5\\\\\int\limits^2_6 {f(x)} \, dx =4(5)=20\\

Using properties of integration we have

3 to 6 integral = 20-5 =15

0 to2 integral = -3=5 =-8

Thus integral form 0 to 6 would be = -8+15+5 = 12

Average rate of change form 0 to 6 = \frac{12}{6} =2

Answer is 2

7 0
3 years ago
Which of the following fractions have the same value as 16 ÷ (–3)? Check all that apply.
Snowcat [4.5K]

Answer:

StartFraction 16 over negative 3, EndFraction StartFraction negative 16 over 3, and EndFraction Negative (StartFraction 16 over 3 EndFraction)

I hope this helps

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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