Answer:
x = 6
Step-by-step explanation:
Given ∠ 1 = ∠ 2 then the segment is an angle bisector and the ratios of sides to base are equal, that is
=
( cross- multiply )
x(x - 4) = 12 ← distribute left side
x² - 4x = 12 ( subtract 12 from both sides )
x² - 4x - 12 = 0 ← in standard form
(x - 6)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
However, x > 0 , thus x = 6
Answer:
Step-by-step explanation:
1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points. Use the slope formula
and substitute the x and y values of those points into it, then simplify:
So, the slope is
.
2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.
3) Substitute values for
and
in the slope-intercept formula,
, to write the equation of the line. Since
represents the slope, substitute
for it. Since
represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:

Answer:
The answer is None there is no mode for the question.
Step-by-step explanation:
We know this because a mode is the number that occurs the most and because all the numbers occur the same amount there is no mode.
The last or second sentence
Compute the two volumes and subtract!
V Cylinder = pi * r^2*height
V1 = pi*8^2*15, V2 = pi*3^2*15,
V1-V2 = pi*15(8^2-3^2) = pi*15*55 = 2591.81393921157923
Answer = 2591.8 cm^3 (if rounded to tenths)