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Olegator [25]
3 years ago
11

The temperature on a summer afternoon is 85°F. Define a variable and write an expression to find the temperature after it change

s. Then evaluate your expression for a decrease of 11 degrees Fahrenheit
Mathematics
2 answers:
JulijaS [17]3 years ago
8 0
A variable a letter to represent a unknown number. 

85-x


85-11=74
Volgvan3 years ago
4 0

Answer:

85 + c; 85 + (–11) = 74; 74°F

Step-by-step explanation:

Math ._.

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What is the reference angle for cos 2pie/3
kirill [66]

Answer:

Step-by-step explanation:

If your mind works better in degrees than it does radians, as does mine, it will be beneficial to us to see what degree measure this angle is. Convert it to degrees using the fact that 180° = π:

\frac{2\pi}{3}*\frac{180}{\pi}=120 degrees

Now that we know that, we can plot that angle in a coordinate plane. The terminal side of the angle lands in quadrant 2. To find the reference angle, we subtract 120 from 180 and get that the reference angle is 60 degrees, which is the same as π/3.

5 0
3 years ago
a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l
GrogVix [38]

Answer:

\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}

Step-by-step explanation:

The equation of a line:

y=mx+b

We have

m=\dfrac{2}{3}

substitute:

y=\dfrac{2}{3}x+b

The formula of a distance between a point and a line:

General form of a line:

Ax+By+C=0

Point:

(x_0,\ y_0)

Distance:

d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}

Convert the equation:

y=\dfrac{2}{3}x+b     |<em>subtract y from both sides</em>

\dfrac{2}{3}x-y+b=0    |<em>multiply both sides by 3</em>

2x-3y+3b=0\to A=2,\ B=-3,\ C=3b

Coordinates of the point:

(0,\ 0)\to x_0=0,\ y_0=0

substitute:

d=4

4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}

4=\dfrac{|3b|}{\sqrt{13}}\qquad|    |<em>multiply both sides by \sqrt{13}</em>

4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}   |<em>divide both  sides by 3</em>

b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}

Finally:

y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}

4 0
3 years ago
Mrs. Jones wants to cover half of her 5 x 7 rectangular bulletin board with two different colors (white and black) as show in th
Vladimir [108]
5x7=35
35/2= 17.5(whichever unit you’re using)
6 0
3 years ago
1. Find the midpoint of AB<br> given A(-3, -4) and B(1,6)
emmainna [20.7K]

Answer:

-1,1

Step-by-step explanation:

because if you plot the points that is half.

7 0
3 years ago
How can you decide which variable to solve for first when you are solving a linear system by substitution
Helen [10]
There are many factors, it is all a matter of preference, normally, you want to try to solve for the easiest one to get to
example

if y ou had

(x-3)^2+y=9
you would solve for y becuase it is less tricky

it is all a matter of preference
7 0
3 years ago
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