Lupita has five times as much money as David. Lupita also has $20 more than David. How much money does each person have?

Think about all of the ways in which a circle and a parabola can intersect.

xeze [42]

There will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle and a parabola:

As we know the standard form of a circle:

$\rm (x-h)^2 +(y-k)^2=r^2$

The standard form of the parabola:

$\rm y = a(x-h)^2+k$

If we plug the value of y from the parabola equation in the circle equation, we get a quartic equation(4th order equation)

The solution of the quartic equation will be 4.

Thus, there will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

Learn more about circle here:

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7 0

2 years ago

Simplify the following expression a3b2 divided a2b

lesya [120]

a3b2/a2b Final result : ab3 Reformatting the input :

Changes made to your input should not affect the solution:

(1): "a2" was replaced by "a^2". 2 more similar replacement(s).

Step by step solution :Step 1 : b2 Simplify —— a2 Equation at the end of step 1 : b2 ((a3) • ——) • b a2 Step 2 :Multiplying exponential expressions :

2.1 b2 multiplied by b1 = b(2 + 1) = b3

Final result : ab3

3 0

3 years ago

Read 2 more answers

In a standard deck of 52 playing cards, what is the complement (not below 8)?

Damm [24]

Answer 2/13

Step-by-step explanation:

There are 52 cards in a standard deck: 13 ordinal cards (Ace -10, jack, Queen, King)and 4 of them

- one to each sute (hearts, diamonds, clubs, spades ) and so we have 4x13=52

There are 8 card that fit the question (4 each of access and kings).

so if you in a random draw the odds of drawing one of those 8 card out of the total number of 52 is 8/52

which we simplify

8/2=2/13

8 0

2 years ago

PLEASE HELP ME

vazorg [7]

Answer:

For the first one, just make sure the sides add up correctly and include the sides it gives. The prism will be 9x1x8 = 82 inches cubed.

Step-by-step explanation:

Insta: lankey.t

6 0

2 years ago

Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const

Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration $a_a$ , we have the following equation of motion

$s/4 = a_at_a^2/2$

where s (m) is the total distance, ta = 3 s is the time

$s = 4a_a3^2/2 = 18a_a$

$a_a = s/18$

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration $a_k$ , we have the following equation of motion:

$s/3 = a_kt_k^2/2$

tk = 4 s is the time

$s = 3a_k4^2/2 = 24a_k$

$a_k = s/24$

Since $a_a = s/18$ we can conclude that $a_a > a_k$ , so Alison would win.

The time it takes for Alison to cover the entire track

$s = a_aT_a^2/2$

$T_a^2 = 2s/a_a = 2s/(s/18) = 36$

$T_a = \sqrt{36} = 6 s$

The time it takes for Kevin to cover the entire track

$s = a_kT_k^2/2$

$T_k^2 = 2s/a_k = 2s/(s/24) = 48$

$T_a = \sqrt{48} = 6.93 s$

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0

3 years ago