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ddd [48]
3 years ago
13

Using a Celsius scale, water freezes at 0°C and boils at 100°C. Using a Fahrenheit scale, water freezes at 32°F and boils at 212

°F. If x represents the temperature in degrees Celsius, which equation can be used to determine y, the temperature in degrees Fahrenheit?
Mathematics
1 answer:
natulia [17]3 years ago
5 0
Y= (x(9/5)) + 32; Ex: y=(100(9/5)) + 32 —> 100 x 1.8 (or 9/5) = 180–> 180 + 32= 212 F
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Write the equation of the conic section satisfying the given conditions. focus at the pole, e = 3/4, horizontal directrix 2 unit
hjlf

Answer:

The equation in the polar form is;

r = \dfrac{6}{4 + 3  \cdot sin(\theta)}

Step-by-step explanation:

 e = 3/4  > 1, we have an hyperbola    

The polar equation of a conic is of the form;

For vertical directrix

r = \dfrac{k \cdot e}{1\pm e \cdot cos (\theta)}

For horizontal directrix

r = \dfrac{k \cdot e}{1\pm e \cdot sin(\theta)}

Where;

k = Distance from the focus to the directrix = 2

We have;

r = \dfrac{2 \cdot \dfrac{3}{4} }{1 + \dfrac{3}{4}  \cdot sin(\theta)}

r = \dfrac{\dfrac{3}{2} }{1 + \dfrac{3}{4}  \cdot sin(\theta)}

Which gives the equation in the polar form as follows;

r = \dfrac{6}{4 + 3  \cdot sin(\theta)}.

8 0
3 years ago
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Scorpion4ik [409]
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explanation
5 0
3 years ago
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Instructions: Select the correct answer.
zepelin [54]
= 18 1/5 + 22 2/5 + 40 1/5
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3 years ago
What is 1+1×80+5-23+456×47+56784-2647= Put the answer in Standard form
slamgirl [31]

Answer:

7.5632 *10^{4}

Step-by-step explanation:The simplification

1+1×80+5-23+456×47+56784-2647

=1+80+5−23+(456)(47)+56784−2647

=81+5−23+(456)(47)+56784−2647

=86−23+(456)(47)+56784−2647

=63+(456)(47)+56784−2647

=63+21432+56784−2647

=21495+56784−2647

=78279−2647

=75632

Converting 75632 into standard form 7.5632 *10^{4}

7 0
3 years ago
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What is the slope intercept from of the equation of the line that that passes through the points (-3, 2) and (1, 5)
viva [34]

The slope-intercept form of a line:

y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\to slope\\\\b\to y-intercept

We have:

(-3,\ 2)\to x_1=-3,\ y_1=2\\(1,\ 5)\to x_2=1,\ y_2=5

Substitute:

m=\dfrac{5-2}{1-(-3)}=\dfrac{3}{4}

y=\dfrac{3}{4}x+b

Put the values of coordinates of the point (1, 5) to the equation of a line:

5=\dfrac{3}{4}(1)+b\\\\5=\dfrac{3}{4}+b\qquad|-\dfrac{3}{4}\\\\b=4\dfrac{1}{4}

Answer: y=\dfrac{3}{4}x+4\dfrac{1}{4}


5 0
3 years ago
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