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timofeeve [1]
3 years ago
13

David travels from Building A to Building B. He can either cycle

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer:

43 minutes

Step-by-step explanation:

  • <em>Let cycling speed be x and driving speed be y</em>

<u>Equations as per given, considering same distance in both cases:</u>

  • 19x + 8y = 13x + 10y
  • 19x - 13x = 10y - 8y
  • 6x = 2y
  • 3x = y

We see that driving speed is 3 times greater than cycling speed

Then 8 minutes driving = 8*3= 24 minutes of cycling, or 10 minutes of driving = 10*3= 30 minutes of cycling:

  • 19 + 24 = 43 minutes or
  • 13 + 10*3 = 43 minutes is the time to cycle between A and B
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Please answer asap!!!!!
kherson [118]

Step-by-step explanation:

The equation of a circle can be the expanded form of

\large \text{$(x-a)^2+(y-b)^2=r^2$}(x−a)

2

+(y−b)

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=r

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where rr is the radius of the circle, (a,\ b)(a, b) is the center of the circle, and (x,\ y)(x, y) is a point on the circle.

Here, the equation of the circle is,

\begin{gathered}\begin{aligned}&x^2+y^2+10x-4y-20&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4-49&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &x^2+10x+25+y^2-4y+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &(x+5)^2+(y-2)^2&=&\ \ 7^2\end{aligned}\end{gathered}

⟹

⟹

⟹

⟹

x

2

+y

2

+10x−4y−20

x

2

+y

2

+10x−4y+25+4−49

x

2

+y

2

+10x−4y+25+4

x

2

+10x+25+y

2

−4y+4

(x+5)

2

+(y−2)

2

=

=

=

=

=

0

0

49

49

7

2

From this, we get two things:

\begin{gathered}\begin{aligned}1.&\ \ \textsf{Center of the circle is $(-5,\ 2)$.}\\ \\ 2.&\ \ \textsf{Radius of the circle is $\bold{7}$ units. }\end{aligned}\end{gathered}

1.

2.

Center of the circle is (−5, 2).

Radius of the circle is 7 units.

Hence the radius is 7 units.

4 0
2 years ago
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photoshop1234 [79]

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7 0
3 years ago
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anzhelika [568]

Answer:

See below

Step-by-step explanation:

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1.   The vertex of the parabola in f(x) is (0, 9) which is above the x-axis and the parabola opens up.  So the parabola does not cross the x-axis.  Therefore the solutions are imaginary.

2.  The vertex of the parabola in g(x) is (9, 0) which is on the x-axis and parabola opens up.  Therefore, there is a double solution.

3.  The vertex of the parabola in h(x) is (-1, -9) which is below the x-axis and the parabola opens up.  Therefore, there are two real solutions.

I know this is a long explanation, but that is a way of looking at the problem.

6 0
3 years ago
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Scrat [10]

Answer:

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4 0
3 years ago
What's the answer ?<br><br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B7%20%5Ctimes%20343%7D%20" id="TexFormula1" title="
Arturiano [62]

Answer:

49

Step-by-step explanation:

\sqrt{7(343)}

= \sqrt{2401}

= 49

4 0
2 years ago
Read 2 more answers
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