All categories

3 years ago

The intercepts of the equation x^2 + 4y^2 = 16 are ___ PLEASE HELP

1 answer:

3 0

Yintercepts are where x=0
set to zero to solve

0^2+4y^2=16
4y^2=16
divide 4
y^2=4
sqrt both sides
y=+/-2

xintercept is where y=0

x^2+4(0)^2=16
x^2+0=16
x^2=16
sdqrtboth sides
x=+/-4

yintercepts are (0,2) and (0,-2)
xintercepts are (4,0) and (-4,0)

You might be interested in

The diameter of a truck wheel is 56.5 inches. What is the circumference of<br> the wheel?

Ad libitum [116K]

Answer: 177.4999849 , or 56.5pi

Step-by-step explanation:

You simply divide the diameter by 2 to get the radius (28.25) and then plug into the circumference equation, 2*pi*r = Circumfrence.

3 0

2 years ago

Read 2 more answers

X2 + 10x + 16/x + 2 =<br> HELP ASAP !! Plss

luda_lava [24]

Answer:

The answer is x+8.

Because you gotta factor out first and then cancel.

7 0

3 years ago

a whisper volume as a room that allows two people to stand on opposite side of the template luckily shape long and hear each oth

Yakvenalex [24]

Answer: 120 ft

<u>Step-by-step explanation:</u>

The Ellipse equation is: $\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1$ where

(h, k) is the center
"a" is the horizontal radius
"b" is the vertical radius
c is the distance from the center to the foci: |a² - b²| = c²

Given: horizontal diameter = 122 → horizontal radius = 61 = a

vertical diameter = 22 → vertical radius = 11 = b

Foci (c): 61² - 11² = c²

3721 - 121 = c²

3600 = c²

±60 = c

Let (h, k) = (0, 0)

Then the foci are located at -60 and +60.

The distance between them is 60 + 60 = 120

3 0

3 years ago

A tortoise and a hare are competing in a race around a 1600-meter track. The arrogant hare decides to let the tortoise have a 95

umka2103 [35]

Answer:

A. t=4n+950

B. h=9.5n

C. d=9.5n-(4n+950)

D. The tortoise will finish first.

Step-by-step explanation:

To find the first two equations, we put the rate at which they are traveling in front of the n, and then add where they start. Since the tortoise gets a 950 meter head start, we add 950. The hare is starting at the start line so we don't need to add anything.

For answer c, we need to subtract the two equations from each other to figure out when they would pass each other. d=(equation h)-(equation t).

For the final answer, all you need to do is plug the first two equations into a graph, and then find where each line is at the point of y 1,600. (To make the graphs I replaced the n with x and the t and h with y.) Using this, we are able to see who got there first, which was the tortoise.

6 0

3 years ago

Prove that the two circles shown below are similar.

s344n2d4d5 [400]

The circles B and D are similar since the radius of the former is as twice as the radius of the latter.

<h3>Are the two circles shown in the figure similar?</h3>

By geometry we know that circles are defined by only one characteristic: radius. If two circles are similar, then the radii must be <em>different</em>. After a quick look at the figure, we conclude that the radii are $r_{B} = 4$ and $r_{D} = 2$ . Hence, the circles B and D are similar since the radius of the former is as twice as the radius of the latter.

To learn more on similarity: brainly.com/question/12670209

#SPJ1

5 0

2 years ago