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3 years ago

9

Please help me please ! Quick

2 answers:

UkoKoshka [18]3 years ago

8 0

Answer:

4,2 is tge answer due to the interaction point plus it says the solution is at the interaction.

SSSSS [86.1K]3 years ago

6 0

Answer:

C. I think

Step-by-step explanation:

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Leila is going for a run. She runs at a speed of 5 miles per hour for 12.5

Ksivusya [100]

She ran for 2 and a half hours
12.5/5=2.5

6 0

3 years ago

The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2). On a coordinate plane, line A B has points (4, 1) and (n

GarryVolchara [31]

Answer:

$(-1,1),(4,-2)$

Step-by-step explanation:

Given: The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2).

To find: coordinates of vertex of the right angle

Solution:

Let C be point $(x,y)$

Distance between points $(x_1,y_1),(x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AC=\sqrt{(x-4)^2+(y-1)^2}\\BC=\sqrt{(x+1)^2+(y+2)^2}\\AB=\sqrt{(4+1)^2+(1+2)^2}=\sqrt{25+9}=\sqrt{34}$

ΔABC is a right angled triangle, suing Pythagoras theorem (square of hypotenuse is equal to sum of squares of base and perpendicular)

$34=\left [ (x-4)^2+(y-1)^2 \right ]+\left [ (x+1)^2+(y+2)^2 \right ]$

Put $(x,y)=(-1,1)$

$34=\left [ (-1-4)^2+(1-1)^2 \right ]+\left [ (-1+1)^2+(1+2)^2 \right ]\\34=25+9\\34=34$

which is true. So, $(-1,1)$ can be a vertex

Put $(x,y)=(4,-2)$

$34=\left [ (4-4)^2+(-2-1)^2 \right ]+\left [ (4+1)^2+(-2+2)^2 \right ]\\34=9+25\\34=34$

which is true. So, $(4,-2)$ can be a vertex

Put $(x,y)=(1,1)$

$34=\left [ (1-4)^2+(1-1)^2 \right ]+\left [ (1+1)^2+(1+2)^2 \right ]\\34=9+4+9\\34=22$

which is not true. So, $(1,1)$ cannot be a vertex

Put $(x,y)=(2,-2)$

$34=\left [ (2-4)^2+(-2-1)^2 \right ]+\left [ (2+1)^2+(-2+2)^2 \right ]\\34=4+9+9\\34=22$

which is not true. So, $(2,-2)$ cannot be a vertex

Put $(x,y)=(4,-1)$

$34=\left [ (4-4)^2+(-1-1)^2 \right ]+\left [ (4+1)^2+(-1+2)^2 \right ]\\34=4+25+1\\34=30$

which is not true. So, $(4,-1)$ cannot be a vertex

Put $(x,y)=(-1,4)$

$34=\left [ (-1-4)^2+(4-1)^2 \right ]+\left [ (-1+1)^2+(4+2)^2 \right ]\\34=25+9+36\\34=70$

which is not true. So, $(-1,4)$ cannot be a vertex

So, possible points for the vertex are $(-1,1),(4,-2)$

7 0

3 years ago

Read 2 more answers

You go to a Christmas fair with a big Ferris wheel. The wheel has ten seats, and two people are placed on each seat. Every minut

monitta

60 people have ridden the wheel in 30 minutes

The time is given as:

$Time =30 \minutes$

The number of seats on the wheel is given as:

$Seats = 10\\$

The number of people on a seat is given as:

$People =2$

Every minute a seat exits the platform.

This means that, 2 people exit the platform every minute

So, the number (n) of people that exit the platform after 30 minutes would be:

$n =People \times Time$

This gives

$n = 2\times 30$

Multiply

$n = 60$

Hence, 60 people have ridden the wheel

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2 years ago

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5. How many different singing quartets can be formed from a class of 30 singers?

AveGali [126]

Answer:

7

Step-by-step explanation:

since a quartet consists of 4 people, it's basically asking how many groups of 4 can you make out of 30.

You can do this in your head or divide: 30 / 4 =7 r2

8 0

3 years ago

I need a step by step explanation, please.

notsponge [240]

Answer:

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2 years ago