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Shalnov [3]
3 years ago
11

An ellipse has a vertex at (14, –1). The focus of the ellipse nearest that vertex is located at (8, –1). If the center of the el

lipse is located at (–1, –1), what is the equation of the directrix on that side of the ellipse?
x =

Mathematics
2 answers:
RoseWind [281]3 years ago
7 0
The answer is 24, I just did the assignment...

you're welcome!
zavuch27 [327]3 years ago
6 0
Refer to the diagram shown below.

The right vertex is at (14, -1), and the center is at (-1, -1).
Therefore the semi-major axis is
a = 14 - (-1) = 15

The right focus is at (8, -1).
Therefore
c = 8 - (-1) = 9.

The distance of the directrix from the center is
d = c²/a = 9²/15 = 81/15 = 27/5.

Therefore the equation for the left directrix is
x = -1 - 27/5 = -32/5

Answer: x = -27/5

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A sporting goods stores sells footballs, basketballs, and volleyballs. A football costs $35, a basketball costs
wlad13 [49]

Answer:

The number of footballs, basketballs and volleyballs were sold are 75, 36 and 15 respectively.

Step-by-step explanation:

Consider the provided information.

A football costs $35, a basketball costs $25  and a volleyball costs $15.

Let F represents the football, B represents the basketball and V represents the volleyball.

On a given day, the store sold 5 times as many footballs as volleyballs.

F=5V......(1)

They  brought in a total of $3750 that day,

35F+25B+15V=3750......(2)

The money made from basketballs alone was 4 times the money.

25B=4(15V)......(3)

By equation 1, 2 and 3.

35(5V)+4(15V)+15V=3750

250V=3750

V=15

Substitute the value of V in equation 1 and 3.

F=5(15)=75

25B=4(15\times 15)\\B=36

Hence, the number of footballs, basketballs and volleyballs were sold are 75, 36 and 15 respectively.

8 0
3 years ago
Factor the equation.
Kryger [21]
Hi!

The fully factored form of this equation is (3x+2)²
5 0
3 years ago
Write the following ratio in their simplest form (a)150minutes:1 1/2 hours (b) 150cm:1060mm ​
spayn [35]

Answer:

a) 5:3

b) 7.5:5.3

Step-by-step explanation:

150min : 90min (1 and a half hour)

10 : 6

5 : 3

150 × 10 mm : 1060 mm

1500 : 1060

750 : 530

7.5 : 5.3

7 0
2 years ago
Which rule explains why these triangles aren't congruent? see picture below.
Lisa [10]

Answer:

SSS

Step-by-step explanation:

Well, the picture says asks why the triangles are congruent but your question asks why they aren't congruent, so I will just assume that you made a typo, and you really meant: "Which rule explains why these triangles are congruent?"

Well, the triangles have two congruent sides, and they have a common shared side that are both congruent (due to reflexive property), so the triangle theorem SSS (Side-Side-Side) proves that the triangles are both congruent.

7 0
3 years ago
Is this correct?? if not pls tell me the correct answer
slamgirl [31]

Answer:

no, but it is A.

8 0
3 years ago
Read 2 more answers
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