1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fofino [41]
2 years ago
15

Question 1 (1 point)

Mathematics
1 answer:
Artemon [7]2 years ago
3 0

Answer:

the answer is simply the one in the bottom right, B

You might be interested in
1. A bag contains four green gumballs, three blue gumballs, and two red gumballs, all the same size and shape.
Dahasolnce [82]

Answer:

Step-by-step explanation:

a. P (red) = <u>2/9</u>

b. P (blue) = 3/9 = <u>1/3</u>

c. P (green) = <u>4/9</u>

d. Green, because out of the three types of gumballs, the green gumballs are more in number, therefore, it is the one you are most likely to get.

7 0
2 years ago
Find the locus of a point such that the sum of its distance from the point ( 0 , 2 ) and ( 0 , -2 ) is 6.
jok3333 [9.3K]

Answer:

\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1

Step-by-step explanation:

We want to find the locus of a point such that the sum of the distance from any point P on the locus to (0, 2) and (0, -2) is 6.

First, we will need the distance formula, given by:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let the point on the locus be P(x, y).

So, the distance from P to (0, 2) will be:

\begin{aligned} d_1&=\sqrt{(x-0)^2+(y-2)^2}\\\\ &=\sqrt{x^2+(y-2)^2}\end{aligned}

And, the distance from P to (0, -2) will be:

\displaystyle \begin{aligned} d_2&=\sqrt{(x-0)^2+(y-(-2))^2}\\\\ &=\sqrt{x^2+(y+2)^2}\end{aligned}

So sum of the two distances must be 6. Therefore:

d_1+d_2=6

Now, by substitution:

(\sqrt{x^2+(y-2)^2})+(\sqrt{x^2+(y+2)^2})=6

Simplify. We can subtract the second term from the left:

\sqrt{x^2+(y-2)^2}=6-\sqrt{x^2+(y+2)^2}

Square both sides:

(x^2+(y-2)^2)=36-12\sqrt{x^2+(y+2)^2}+(x^2+(y+2)^2)

We can cancel the x² terms and continue squaring:

y^2-4y+4=36-12\sqrt{x^2+(y+2)^2}+y^2+4y+4

We can cancel the y² and 4 from both sides. We can also subtract 4y from both sides. This leaves us with:

-8y=36-12\sqrt{x^2+(y+2)^2}

We can divide both sides by -4:

2y=-9+3\sqrt{x^2+(y+2)^2}

Adding 9 to both sides yields:

2y+9=3\sqrt{x^2+(y+2)^2}

And, we will square both sides one final time.

4y^2+36y+81=9(x^2+(y^2+4y+4))

Distribute:

4y^2+36y+81=9x^2+9y^2+36y+36

The 36y will cancel. So:

4y^2+81=9x^2+9y^2+36

Subtracting 4y² and 36 from both sides yields:

9x^2+5y^2=45

And dividing both sides by 45 produces:

\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1

Therefore, the equation for the locus of a point such that the sum of its distance to (0, 2) and (0, -2) is 6 is given by a vertical ellipse with a major axis length of 3 and a minor axis length of √5, centered on the origin.

5 0
3 years ago
Read 2 more answers
3. Luke is a dog walker. He gets $12 per day for walking his neighbor's dogs. He recently snapped his surfboard and
cupoosta [38]

Answer: He'd have to work 15 days.

Step-by-step explanation

With the money in his bank account he'd have to get $173 to be able to pay for the rest of the board. If you were to divide 173 by 12 you'd get 14.4166666667. But you can't have a decimal so you'd round up to get a total of 180. Which is how you get the answer of him needing to work for 15 days.

8 0
3 years ago
Mr. Trager has $500.00 to spend at a bicycle store. All prices listed below include tax. . He buys a new bicycle for $273.98. .
Anon25 [30]

Answer:

2 outfits

Step-by-step explanation:

first you have the total amount of money he has.

next subtract the amount of money he spends on the new bicycle

500-273.98=226.02

next find the total cost of the 3 bicycle reflectors

7.23 times 3 = 21.69

Subtract that total from the remaining amount of money left

226.02 - 21.69 = 204.33

Then subtract the helmet from the remaining money

204.33 - 42.36 = 161.97

now divide the remaining money by 78.12 to find out how many outfits he can buy

161.97 / 78.12 = around 2.07

So the answer is he can only buy 2 outfits with the remaining money

(you can not buy 2.07 outfits)

hope this helps and was what you were looking for

3 0
3 years ago
2. The sum of three consecutive integers is 48. What are the three integers?
Natasha2012 [34]

Answer: 15, 16, 17

Step-by-step explanation: you have to divide 48 by 3 when you do this then you get the center number in this case 16 so all you have to do now is add the lower number (15) and the higher number (17) and add and they will equal 48

hope this helps please mark brainliest if it helps

5 0
2 years ago
Other questions:
  • If Ben bikes 3 miles and then bikes 1,000 yards back toward his starting point, how many yards is Ben from his starting point?
    14·1 answer
  • Select all expressions that equal -6-(-2)
    9·2 answers
  • Jake's family is moving to a new home. They packed 22 boxes in 1 5/6 hours. What is the average number of boxes they packed per
    14·2 answers
  • What is the LCM of 4, 27, and 12
    9·2 answers
  • What is 3w + 5 =23 it's a two step equation​
    9·2 answers
  • I need help did I get this right?
    11·2 answers
  • Ashley is making bracelets to sell. She wants to make at least $450. Each bracelet costs $18 to make. She is selling them for $3
    14·1 answer
  • SOLVE<br>Express in radian<br>(a) 70°<br>​
    11·1 answer
  • Which linear inequality is represented by the graph?
    11·1 answer
  • Determine which equation below have x = 15 as a solution.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!