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
ELEN [110]
3 years ago
7

As part of your training schedule you plan to jog once a week around the reservoir shown below on the map.

Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

The actual length of 1 lap is 250m.

You might be interested in
The vertices of a triangle are located at P(0, 0), 0(4,3), and R(4,0).
LiRa [457]

9514 1404 393

Answer:

  12

Step-by-step explanation:

The length of the hypotenuse, PQ, can be found from the Pythagorean theorem:

  PQ² = QR² +PR²

  PQ² = 3² + 4² = 25

  PQ = √25 = 5

The perimeter is the sum of side lengths:

  P = 3 + 4 + 5 = 12

The perimeter of this triangle is 12 units.

6 0
3 years ago
Use numerals instead of words. If necessary, use / for the fraction bar(s). A parabola is given by the equation y = x2 + 4x + 4.
Anarel [89]
<span><span>Graph <span>x2<span> = 4</span>y</span><span> and state the vertex, focus, axis of symmetry, and directrix.</span></span><span>This is the same graphing that I've done in the past: </span><span>y = (1/4)x2</span><span>. So I'll do the graph as usual:</span></span><span> </span><span>The vertex is obviously at the origin, but I need to "show" this "algebraically" by rearranging the given equation into the conics form:<span>x2 = 4y</span> Copyright © Elizabeth Stapel 2010-2011 All Rights Reserved<span>
(x – 0)2 = 4(y – 0)</span><span>This rearrangement "shows" that the vertex is at </span><span>(h, k) = (0, 0)</span><span>. The axis of symmetry is the vertical line right through the vertex: </span><span>x = 0</span>. (I can always check my graph, if I'm not sure about this.) The focus is "p" units from the vertex. Since the focus is "inside" the parabola and since this is a "right side up" graph, the focus has to be above the vertex.<span>From the conics form of the equation, shown above, I look at what's multiplied on the unsquaredpart and see that </span><span>4p = 4</span><span>, so </span><span>p = 1</span><span>. Then the focus is one unit above the vertex, at </span>(0, 1)<span>, and the directrix is the horizontal line </span><span>y = –1</span>, one unit below the vertex.<span>vertex: </span>(0, 0)<span>; focus: </span>(0, 1)<span>; axis of symmetry: </span><span>x<span> = 0</span></span><span>; directrix: </span><span>y<span> = –1</span></span></span><span><span><span>Graph </span><span>y2<span> + 10</span>y<span> + </span>x<span> + 25 = 0</span></span>, and state the vertex, focus, axis of symmetry, and directrix.</span><span>Since the </span>y<span> is squared in this equation, rather than the </span>x<span>, then this is a "sideways" parabola. To graph, I'll do my T-chart backwards, picking </span>y<span>-values first and then finding the corresponding </span>x<span>-values for </span><span>x = –y2 – 10y – 25</span>:<span>To convert the equation into conics form and find the exact vertex, etc, I'll need to convert the equation to perfect-square form. In this case, the squared side is already a perfect square, so:</span><span>y2 + 10y + 25 = –x</span> <span>
(y + 5)2 = –1(x – 0)</span><span>This tells me that </span><span>4p = –1</span><span>, so </span><span>p = –1/4</span><span>. Since the parabola opens to the left, then the focus is </span>1/4<span> units to the left of the vertex. I can see from the equation above that the vertex is at </span><span>(h, k) = (0, –5)</span><span>, so then the focus must be at </span>(–1/4, –5)<span>. The parabola is sideways, so the axis of symmetry is, too. The directrix, being perpendicular to the axis of symmetry, is then vertical, and is </span>1/4<span> units to the right of the vertex. Putting this all together, I get:</span><span>vertex: </span>(0, –5)<span>; focus: </span>(–1/4, –5)<span>; axis of symmetry: </span><span>y<span> = –5</span></span><span>; directrix: </span><span>x<span> = 1/4</span></span></span><span><span>Find the vertex and focus of </span><span>y2<span> + 6</span>y<span> + 12</span>x<span> – 15 = 0</span></span></span><span><span>The </span>y<span> part is squared, so this is a sideways parabola. I'll get the </span>y stuff by itself on one side of the equation, and then complete the square to convert this to conics form.<span>y2 + 6y – 15 = –12x</span> <span><span>
y</span>2 + 6y + 9 – 15 = –12x + 9</span> <span>
(y + 3)2 – 15 = –12x + 9</span> <span>
(y + 3)2 = –12x + 9 + 15 = –12x + 24</span> <span>
(y + 3)2 = –12(x – 2)</span> <span>
(y – (–3))2 = 4(–3)(x – 2)</span></span><span><span>Then the vertex is at </span><span>(h, k) = (2, –3)</span><span> and the value of </span>p<span> is </span>–3<span>. Since </span>y<span> is squared and </span>p<span> is negative, then this is a sideways parabola that opens to the left. This puts the focus </span>3 units to the left of the vertex.<span>vertex: </span>(2, –3)<span>; focus: </span><span>(–1, –3)</span></span>
6 0
3 years ago
The temperature at noon at a ski resort is 3 F . The temperature drops 8 F by midnight what is the temperature at midnight
DIA [1.3K]

Answer:

-5

Step-by-step explanation:

3 minus 8 equals -5

(20 characters needed)

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=y%20-%20xy%20%2B%20x%20-%201" id="TexFormula1" title="y - xy + x - 1" alt="y - xy + x - 1" ali
nata0808 [166]
I believe it should be =(1-x) multiple by (y-1)
(1-x) x (y-1)
8 0
2 years ago
Read 2 more answers
What does y=2x+3 equal?
posledela
Y = X times 2 + 3 if that's what you're asking so y = 5x
Explanation:
2+3=5 so 5x bc x isn't a number
4 0
3 years ago
Other questions:
  • 2 1/2 divided by 4. can you please answer i need help
    14·2 answers
  • The radius of a puddle is claimed to be 12.0 inches, correct to within 0.01 inch. Use linear approximation to estimate the resul
    15·2 answers
  • Solve for x. Please helppppp!!!!!!!
    13·2 answers
  • . Megan is standing 300ft from the Eiffel Tower. The Eiffel Tower is 900 ft tall.
    8·2 answers
  • Don’t mind the pencil writing
    14·1 answer
  • Write 0.1 as a fraction​
    15·2 answers
  • If your slope is undefined, what would you put for M in Point slope form?
    10·1 answer
  • Miguel made a circular flower garden with a diameter of 7 feet.
    5·1 answer
  • 6.2x1015 (the 15 is above the 10)
    15·2 answers
  • What is the volume of a square pyramid with a 10 x 10 foot base and an altitude of 6 feet?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!