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3 years ago

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The temperature at 7:00 a.m. was –5°F. By 4:00 p.m., the temperature had risen 9 degrees and by 10:00 p.m. the temperature dropp

ed 11 degrees. What was the temperature at 10:00 pm

1 answer:

ivanzaharov [21]3 years ago

5 0

Answer:

-7 degrees

Step-by-step explanation:

-5+9-11=-7

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Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo

Likurg_2 [28]

Answer:

The given equation is

$25x^{2} +4y^{2}=100$

Which represents an elipse.

To find its elements, we need to divide the equation by 100

$\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1$

Where $a^{2} =25$ and $b^{2}=4$ . Remember that the greatest denominator is $a$ , and the least is $b$ . So, we extract the square root on each equation.

$a=5$ and $b=2$ .

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is $2a=2(5)=10$ .

The length of the minor axis is $2b=2(2)=4$ .

The vertices are $(0,5);(0,-5)$ and $(2,0);(-2,0)$ .

Now, the main parameters of an elipse are related by

$a^{2}=b^{2} +c^{2}$ , which we are gonna use to find $c$ , the parameter of the focus.

$c=\sqrt{a^{2}-b^{2} }=\sqrt{25-4}=\sqrt{21}$

So, the coordinates of each focus are $(0,\sqrt{21})$ and $(0,-\sqrt{21})$

The eccentricity of a elipse is defined

$e=\frac{c}{a}=\frac{\sqrt{21} }{5} \approx 0.92$

The latus rectum is defined

$L=\frac{2b^{2} }{a}=\frac{2(4)}{5} =\frac{8}{5} \approx 1.6$

Finally, the graph of the elipse is attached.

7 0

3 years ago

What is 3d+8=2d-7 is equations

fredd [130]

3d + 8 = 2d - 7 equals d = -15.

First, subtract 2d from both sides. Your problem should look like: 3d + 8 - 2d = -7.
Second, simplify 3d + 8 - 2d to get d + 8. Your problem should look like: d + 8 = -7.
Third, subtract 8 from both sides. Your problem should look like: d = -7 - 8.
Fourth, simplify -7 - 8 to get -15. Your problem should look like: d = -15, which is your answer.

Hopefully this helps, I'm not exactly sure what you meant by "is equations," but this is how you solve the problem.

6 0

3 years ago

What is the surface area of a storage box that measures 15 centimeters by 12 centimeters by 8 centimeters?

Leya [2.2K]

L = 15
w = 12
h = 8

Surface Area = 2(lw + wh + lh)
S.A. = 2(15*12 + 12*8 + 15*8)
S.A. = 2(180 + 96 + 120)
S.A. = 2(396)
S.A. = 792 cm^2

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3 years ago

A rectangular field will be fenced on all four sides. There will also be a line of fence across the field, parallel to the short

Dimas [21]

Answer:

150m by 300 m

Step-by-step explanation:

150×300=45000

all sides add up to 900m

150+150+300+300

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3 years ago

Which number is the best estimate for point F?

andreev551 [17]

Answer:

e

Step-by-step explanation:

you can use this phrase to help u

5 or above give it a shove

4 or below let it go

meaning that if its 5 or more then you round up but if its less then 5 then u round down

4 0

3 years ago

Read 2 more answers