Answer:
the solution for x is x=40
36:8, 9:2, and 72: 16
Step-by-step explanation:
two ratios that are equivalent to 4:18
36:8, 9:2, and 72: 16
would all be equivalent. In order to find ratios that are equivalent to 18:4, you have to multiply both numbers by the same factor. For
<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use
we know that
In the triangle ABC
Applying the law of sines
in this problem we have
therefore
<u>the answer Part 1) is</u>
Law of Sines
<u>Part 2) </u>To find the length of side HI in ∆HIG, use
we know that
In the triangle HIG
Applying the law of cosines
In this problem we have
g=HI
G=angle Beta
substitute
therefore
<u>the answer Part 2) is</u>
Law of Cosines
<span>Standard Form of an Equation of an Hyperbola opening up and down is:
(y-k)^2 / b^2 - (x-h)^2 / a^2 = 1
</span><span>where Pt(h,k) is a center with vertices 'b' units up and down from center.
</span><span>vertices: vertices: (0,+-2) b = 2 AND Center is (0,-0)
(y)^2/4-(x)^2/a^2=1
</span><span>foci: (0,+-7)
a^2 = 24
square root of 4 + a^2 = 5.29
4 + 5.29 = 9.29
y^2 / 4 - x^2 / 24 = 1</span>
Answer:
slope of line that is parallel is 1/2
slope of line that is perpendicular is -2
Step-by-step explanation:
parallel lines have the same slope
perpendicular lines have slopes that are opposite and reciprocal
x - 2y = -1
-2y = -x -1
y = 1/2x + 1/2
the coefficient of the 'x' term represents the slope
