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masya89 [10]
2 years ago
8

HELP PLEASE!!! WILL GIVE BRAINLIEST

Mathematics
1 answer:
Nadusha1986 [10]2 years ago
8 0
The equation looks like this \frac{ x^{2} }{16} + \frac{ y^{2} }{25} =1.  In an ellipse, a is always the bigger value, so a^2 = 25.  This bigger value also tells us which axis is the major one.  Sine the bigger value a is under the y^2 of the equation, the major axis is the y-axis.  This is a vertical ellipse.  The center is always found within a set of parenthesis that exist with the x^2 and the y^2.  Since there are no parenthesis with either, there is no side to side movement, nor is there any up or down movement.  So the center doesn't move from the origin (0, 0).  The vertex is also along the major axis, and if a^2 is 25, then a = 5, so the vertices go up 5 from the center and down 5 from the center.  Vertices are (0, 5) and (0, -5).  The foci follow the formula c^{2}= a^{2}- b^{2}.  c is the distance that the foci are from the center.  c^{2}=25-16 and c = 3.  The foci also lie on the major axis, so the coordinates for the foci are (0, 3) and (0, -3).  There you go!
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What are the critical points for the inequality 2x+5/x-2≥x-1/x-2?
Pachacha [2.7K]
1) When the denominator equals zero that is a critical point

=> x - 2 = 0 => x = 2.

So x = 2 is a critical point

2) Simplify the numerator to find an expresion of the king p(x) ≥ 0 or p(x) ≤ 0. Where p(x) equals zero you have other(s) critical point(s)

Multiply both terms:

[2x + 5] / [ x - 2] = [x - 1] / [x - 2]

for x ≠ 2 => 2x + 5 = x - 1

=> 2x - x = - 1 - 5

=> x = - 6

Then, the two critical points are x = 2 and x = - 6.

Answer: option B.
3 0
3 years ago
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A florist arranges 4 flower arrangements in 92 minutes.
Black_prince [1.1K]

Answer:

\boxed {\boxed {\sf 9 \ arrangements }}

Step-by-step explanation:

Let's set up a proportion using the following setup:

\frac{arrangements}{minutes} =\frac{arrangements}{minutes}

We know that the florist can arrange 4 in 92 minutes.

\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}

We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.

\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}

\frac{4}{92} =\frac{x}{207}

Solve for x by isolating it on one side of the proportion.

x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.

207*\frac{4}{92}=\frac{x}{207}*207

207*\frac{4}{92}=x

207*0.0434782609=x

9=x

The florist can arrange <u>9 arrangements</u> in 207 minutes.

5 0
3 years ago
1. If a triangle of area 95 square units has a height of length 19 units, calculate
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Find the value of X so that the function has the given value t(x)=3x; t (x)= 24
Fed [463]

Answer:

here is your answer....

Step-by-step explanation:

lets take x as 8

t(8)=3*8

t(8)=24

Therefore:

we get t(x)=24 from equation t(x)=3x

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2 years ago
Can someone please solve them?
lina2011 [118]

Answer:

Step-by-step explanation:

8 0
3 years ago
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