Answer:
y = 4x + 32
Step-by-step explanation:
Given: Temperature at sunrise = 32°F
y is the temperature after x hours of sunrise
Temperature change is 4°F/hour.
The equation of a line in slope intercept form is given by
y = mx +c
where m is the slope, which is the change in value of y to the value of x
and c is the value of y at x = 0
At sunrise, x =0 and y =32
∴ c = 32
Also we see that the change in temperature to that of time is 4/1 = 4
∴ m = 4
Substituting the values of m and c in the equation of line, we have
y = 4x +32
Answer:
516 inches
Step-by-step explanation:
2(8(6)) + 2(15(6)) + 2(15(8))
96 + 180 + 240 = 516in
The answer is 516in
*Please mark me the brainliest. Thanks
Rewrite the boundary lines <em>y</em> = -1 - <em>x</em> and <em>y</em> = <em>x</em> - 1 as functions of <em>y </em>:
<em>y</em> = -1 - <em>x</em> ==> <em>x</em> = -1 - <em>y</em>
<em>y</em> = <em>x</em> - 1 ==> <em>x</em> = 1 + <em>y</em>
So if we let <em>x</em> range between these two lines, we need to let <em>y</em> vary between the point where these lines intersect, and the line <em>y</em> = 1.
This means the area is given by the integral,
The integral with respect to <em>x</em> is trivial:
For the remaining integral, integrate term-by-term to get
Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line <em>y</em> = 1 and (0, -1)), so its area is 1/2*4*2 = 4.
When you add up all the angles, it would be equal to 180 degrees.
Since angles 2 and 3 are congruent, angle 3 is also equal to 6x + 24.
We know also that angles 3 and 4 are complementary, so (6x+24) + 5x = 90.
Let's find x.
6x+24+5x = 90
11x = 90-24
11x = 66
x = 6
Angle 2 and 3 are 6(6) + 24 = 60 degrees
Angle 4 is 5(6) = 30 degrees
180 - 60 - 60 - 30 = 30 degrees
Angle 1 is equal to 30 degrees :D :D
The equation in slope-intercept form is y=2x-2
