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3 years ago

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Three swimmers competeted in a 50 m freestyle race. A description of their swimming speeds is given. Order ghe swimmers from fir

st to third place.

2 answers:

Svetradugi [14.3K]3 years ago

6 0

We need the problem to answer

AysviL [449]3 years ago

3 0

Answer:

???

Step-by-step explanation:

No attachment. It's impossible if no other info is given

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Katen [24]

Answer:

Q2. (16,8)

Q3. $k=\frac{2}{3}$ , ratio=5:1

Q4. Ratio=2:1

Q5. Ratio=1:1

Step-by-step explanation:

Q2. Let (2a,a) be the coordinates of P.

Since P is equidistant from Q (2,-5) and R (-3, 6), we have

$|PQ|=|PR|$

This gives us:

$\sqrt{(2a-2)^2+(a+5)^2}=\sqrt{(2a+3)^2+(6-a)^2}$

$\implies (2a-2)^2+(a+5)^2=(2a+3)^2+(6-a)^2$

Expand:

$4a^2-8a+4+a^2+10a+25=4a^2+12a+9+a^2 -12a+36$

$2a=16$

$a=8$

The coordinates of P are $(16,8)$

Q.3 The equation of the line segment joining the points

A (5.-6) and B (-1,-4) is $x+3y=-13$ .

The x-coordinate of the point that divides AB in the ratio m:n is

$x=\frac{mx_2+nx_1}{m+n}$

The y-axis meets this line at $(0,-\frac{13}{3})$

We substitute $x_2=-1,x_1=5,x=0$ into this equation and solve for m and n.

$0=\frac{-m+5n}{m+n}$

$m=5n$

$\frac{m}{n}=\frac{5}{1}$

Therefore the ratio is m:n=5:1

Q.4 The equation of the line segment joining

the points (-5,-4) and (-2,3) is $-7x+3y=23$ .

The point (-3, k) must satisfy this line because it lies on it.

$-7(-3)+3k=23$ .

$\implies k=\frac{2}{3}$

We again use the equation $x=\frac{mx_2+nx_1}{m+n}$ to find the given ratio.

Substitute: $x_2=-2,x_1=-5$

$4=\frac{-2m+-5n}{m+n}$

$\implies m=2n$

$\frac{m}{n}= \frac{2}{1}$

The ratio is m:n=2:1

Q. 5 The equation of the line joining A (2,3) and B(6,-3) is $3x+2y=12$ .

We substitute (4,m) to get:

12+4m=12

4m=0

m=0

It is obvious that: (4,0) is the midpoint of A(2,3) and B(6,-3).

Hence the ratio is 1:1

5 0

3 years ago

Jeremiah can make 3 out of the 5 goals he attempts to score at every game. Alex can make

Reika [66]

Answer:

40%

Step-by-step explanation:

3 out of 5 = 60 out of 100

if he scores 60 out of 100 = he miss 40 goals

6 0

3 years ago

HELPPP ITS TIMED

IceJOKER [234]

The exponential function has a steeper slope than that of the linear function, therefore:

<span>B The exponential function is generally growing faster than the linear function.</span>

6 0

3 years ago

Read 2 more answers

A prism is completely filled with 1120 cubes that have edge lengths of 1/2 in. What is the volume of the prism? Enter your answe

Ronch [10]

Each cube has an edge length of 1/2 inch
V = 1/2 * 1/2 * 1/2
V = 1/8 cu in

There are 1120 of these cubes so the volume of the prism is 1/8 * 1120 = 140 cubic inches.

6 0

3 years ago

Read 2 more answers

In rectangle MATH, AT = 8 and TH = 12. Find the length of

castortr0y [4]

The question is not clear enough

7 0

3 years ago