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Tems11 [23]
3 years ago
7

The graph of x^2/4-y^2/4=1 is an example of which type of conic section?

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

Hyperbola

Step-by-step explanation:

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Select the word to make the statement true.
LekaFEV [45]

Answer:

always

Step-by-step explanation:

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3 years ago
2^x+5 = 3^1-x use logarithms to solve the exponential equation. round answer to 3 decimal places.
marysya [2.9K]
2^{x+5}=3^{1-x}\ \ \ \ \ /log_2()\\\\log_22^{x+5}=log_23^{1-x}\\\\x+5=(1-x)log_23\\\\x+5=log_23-xlog_23\\\\x+xlog_23=log_23-5\\\\x(1+log_23)=log_23-5\ \ \ \ /:(1+log_23)

x=\frac{log_23-5}{1+log_23}\\-------------\\log_23\approx1.5849625\\----------------\\x\approx\frac{1.5849625-5}{1+1.5849625}\approx-1.321
8 0
3 years ago
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The length of a rectangle in centimeters is two more than thrice its width. a) Write an expression, in the simplest form, for th
Karo-lina-s [1.5K]

Answer:

Perimeter of the rectangle = 8 x +4

Length of the rectangle = 12 units.

Step-by-step explanation:

Let the width of the rectangle as 'x' units.

So, length of the rectangle is 2 more than 3 x.

We can set up expression for length as 3 x+2.

Now, perimeter is sum of all side lengths of the rectangle.

So, perimeter = x+x+3 x+2 +3 x+2

Combine like terms,

Perimeter = 8 x+4

Now, it is given perimeter is 36cm

So,

8 x+4=36

Subtract both sides 4

8 x=32

Divide both sides by 8

x=4

So, width of the rectangle =4

Length =3(4) +2=14

3 0
3 years ago
Jonah runs a bakery, and his most popular item is cinnamon raisin bread. He has two options to purchase raisins.
garri49 [273]

Answer:

C. $0.19/ounce

Step-by-step explanation:

We know that 16 ounces = 1 pound but we have 5 pounds,

So, we do 5 times 16.

We get 80 (ounces)  and we divided ounces by total cost ($15.25)

We get our answer:

$0.19/ounce

3 0
2 years ago
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30 POINTS!!! Louie is trying to find a rectangular canvas for his art project. Its diagonal must measure 23.3 inches and form a
Lisa [10]

Answer:

12 inches

Step-by-step explanation:

Given

\theta = 31^{\circ}

diagonal = 23.3\ in

Required

Determine the height of the canvas

The question is illustrated using the attached image.

Using the attachment as a point of reference, the height is calculated from

sin \theta = \frac{opp}{hyp}

This gives:

sin 31^{\circ}= \frac{h}{23.3}

Make h the subject

h = 23.3 * sin(31^{\circ)

h = 23.3 * 0.5150\\

h = 11.9995

h = 12\ inches

7 0
3 years ago
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