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Airida [17]
3 years ago
15

Rewrite the equation y - 31x = 93 as a function of x.

Mathematics
2 answers:
Nastasia [14]3 years ago
3 0
B is the right answer
swat323 years ago
3 0

Answer:

Step-by-step explanation:

B. g(x) = 31x + 93

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Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{12},0)(± 12 ​ ,0)left parenthesis, plus min
lora16 [44]

Answer:

\mathbf{\dfrac{x^2}{49^2} +\dfrac{y^2}{37^2} =1}

Step-by-step explanation:

Given that :

the foci of the ellipse is (±√12,0) and C0-vertices are (0,±√37)

The foci are (-C,0) and (C ,0)

the focus has x-coordinates so the focus is  lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so C0-vertices are (0,±√37)

The given focus C = ae = √12

Given co-vertices ( minor axis) (0,±b) = (0,±√37)

b= √37

We can therefore express the  relation between the focus and semi major axes and semi minor axes as:

\mathbf{c^2 = a^2 - b^2 } \\ \\ \mathbf{a^2 = c^2 + b^2 } \\ \\ \mathbf{c^2 = ( \sqrt12)^2 - (\sqrt 37)^2 }  \\ \\ \mathbf{c^2 = 49 } \\ \\  \mathbf{c = \sqrt{49 }}

The equation of ellipse formula is:

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

and we know that \mathbf{a=\sqrt{49}  \ \  and  \  \ b=\sqrt{37}}

Thus ; the equation of the ellipse at the origin is

\mathbf{\dfrac{x^2}{49^2} +\dfrac{y^2}{37^2} =1}

3 0
4 years ago
Answers to questions A and B
Sladkaya [172]

Answer:

1.16

2.344

Step-by-step explanation:

A. Arc BC is apart of the diameter. The major arc measures 164 so

164 + x = 180

x = 16

Arc BC=16

B. Arc BAC means we find the measures BA then find the measures of arc AC and add them.

Measures of BA is 180.

Measures of AC is 164.

180 + 164 = 344

6 0
3 years ago
A pie is split into 3 equally sized
kenny6666 [7]

the total area of the pie is 237

3 0
2 years ago
On Friday, a local hamburger shop sold a combined total of 396 hamburgers and cheeseburgers. The number of cheeseburgers sold wa
Eddi Din [679]

Answer:792

Step-by-step explanation:

4 0
2 years ago
Find the complement and supplement of the given angle 43 degrees
densk [106]

Answer:

<em>The complement is 47° and the supplement is 137°.</em>

Step-by-step explanation:

<u>Complementary and Supplementary Angles</u>

When the sum of two angles is equal to 90 degrees, they are called complementary angles. Similarly, if the sum of two angles is 180 degrees, they are called supplementary angles.

We are given an angle of 43 degrees. Its complementary angle is 90° - 43° = 47°, and its supplementary angle is 180° - 43° = 137°.

The complement is 47° and the supplement is 137°.

8 0
3 years ago
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