Answer:
x = -2
Step-by-step explanation:
The segments described in the question are equidistant (meaning they are the same length). Therefore, using algebraic techniques, we can set these two equal to each other and solve for x.
4x - 8 = 6x - 4 Combine like terms by subtracting 6x from both sides.
-2x - 8 = -4 Combine like terms by adding 8 to both sides.
-2x = 4 Divide by -2 on both sides of the equation.
x = -2
Just put a closed circle above 5 on the # line.
We know that
<span>Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide.
</span>Then
a²<span> will go with the </span>y<span> part of the equation
</span>Also, since the focus is 8 <span>units below the center, then </span><span>c = 8
</span>since the vertex is 17<span> units above, then </span><span>a = 17
</span>The equation b²<span> = a</span>²<span> – c</span>²<span> gives me
</span>b²=17²-8²-----> b²=225
the equation is
y²/a²+x²/b²=1------> y²/289+x²/225=1
the answer isy²/289+x²/225=1see the attached figure
Answer:
m∠8=120°
Step-by-step explanation:
Given that lines L and M are parallel to each other, keep in mind that ∠1 and ∠8 are opposite exterior angles, so they will be congruent to each other. Therefore, m∠8=120°.
-- Candy takes 57 minutes to do the whole job ==>
She does 1/57 of the job every minute.
-- Tim takes 114 minute to do the whole job ==>
He does 1/114 of the job every minute.
-- If they work together, they do (1/57 + 1/114) of the job every minute.
We have to add those fractions.
The least common denominator is 114.
(1/57 + 1/114)
= (2/114 + 1/114)
= 3/114 = 1/38 .
Working together, Candy and Tim do 1/38 of the job every minute.
So it takes them 38 minutes to do the whole job together.