Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
where
m is the slope
b is the y-coordinate of the y-intercept
so
For m> 0, b<0
the solution in the attached figure
Answer:
20%
Step-by-step explanation:
300 divide by 60. the answer is 20 percent
(3) Differentiating both sides of
with respect to <em>x</em> gives
Solve for d<em>y</em>/d<em>x</em> :
Then the slope of the tangent line to the curve at (1, 9) is
The equation of the tangent line would then be
<em>y</em> - 9 = -2/3 (<em>x</em> - 1) ==> <em>y</em> = -2/3 <em>x</em> + 29/3
(4) The slope of the tangent line to
at a point <em>(x, y)</em> on the curve is
When <em>x</em> = -1, we have a slope of 2/3, so
-(2<em>a</em> + 1)/(-1 - 2)² = 2/3
Solve for <em>a</em> :
-(2<em>a</em> + 1)/9 = 2/3
2<em>a</em> + 1 = -18/3 = -6
2<em>a</em> = -7
<em>a</em> = -7/2
If line 3x + 4y = 24 cuts the x axis at point A, then point A is ur x intercept of line 3x + 4y = 24. To find the x int, sub in 0 for y and solve for x.
3x + 4y = 24
3x + 4(0) = 24
3x = 24
x = 24/3
x = 8....so point A is (8,0) <===
if line 3x + 4y = 24 cuts the y axis at point B, the point B is the y int. of 3x + 4y = 24. To find the y int, sub in 0 for x and solve for y
3x + 4y = 24
3(0) + 4y = 24
4y = 24
y = 24/4
y = 6......so point B is (0,6) <===
if point C is equidistant from point A and point B, then it is the midpoint.
midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
(8,0)....x1 = 8 and y1 = 0
(0,6)...x2 = 0 and y2 = 6
time to sub and solve
m = (8 + 0)/2 , (0 + 6)/2
m = (8/2),(6/2)
m = (4,3) <=== this is point C
Answer:
x = 58°
Step-by-step explanation:
First, we need to find the green angle on the bottom left of the triangle.
We know that straight lines are supplementary, or equal 180 degrees, so we can say that 114° + a (a variable representing the measure of the angle) = 180°.
Equation:
114 + a = 180
Solve:
114 + a = 180
-114 -114
a = 66
Therefore, the value of the green angle is 66 degrees.
Now, we need to find the value of angle x.
We know that the sum of the angles in a triangle is 180 degrees.
So, 56° + 66° + x = 180°
Equation:
56 + 66 + x = 180
Add:
56 + 66 + x = 180
122 + x = 180
Subtract:
122 + x = 180
-122 -122
x = 58
Therefore, x is 58 degrees.
