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2 years ago

What is the midpoint between (-6,2) and (10,4)

Mathematics

1 answer:

mario62 [17]2 years ago

7 0

Answer:

(2,3)

Step-by-step explanation:

To find the x-coordinate of the midpoint, find the average of -6 and 10. It is 4/2, or 2.

To find the y-coordinate, proceed similarly. Find the average of 2 and 4. It is 3.

Thus, the midpoint is (2, 3).

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How do you multiply fractions and express product in simplestform.

vagabundo [1.1K]

You just multiply top times top and bottom times bottom and then find a number you can divide into the number and you keep doing that until you can't simplify any more.

3 0

2 years ago

1. (a). A police car, approaching right-angled intersection from the north, is chasing a speedmg

tamaranim1 [39]

Answer:

The SUV is running at 70 km/h

Step-by-step explanation:

Speed As Rate Of Change

The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.

This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

$d=\sqrt{x^2+y^2}$

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

$\displaystyle d\ '=\frac{x.x'+y.y'}{\sqrt{x^2+y^2}}$

Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)

We'll compute :

$d=\sqrt{(0.8)^2+(0.6)^2}=\sqrt{0.64+0.36}$

$d=1\ km$

We know d'=20 km/h, so we can solve for x' and find the speed of the SUV

$\displaystyle \frac{x.x'+y.y'}{\sqrt{x^2+y^2}}=20$

Thus we have

$x.x'+y.y'=20$

Solving for x'

$\displaystyle x'=\frac{20-y.y'}{x}$

Since y'=-60

$\displaystyle x'=\frac{20+0.6(60)}{0.8}$

$x'=70\ km/h$

The SUV is running at 70 km/h

7 0

2 years ago

Please help it’s very urgent and I need the right answer

8090 [49]

Answer:

3x + 15 = 3*10 + 15 = 30 + 15 = 45

3x + 15 = 45

Now,

2x + 25 = 2*10 + 25 = 20 + 25 = 45

2x + 25 = 45

Step-by-step explanation:

3x + 15 + 2x + 25 = 90

or, 5x + 40 = 90

or, 5x = 90 - 40

so, 5x = 50

so, x = 50/5 = 10

3 0

2 years ago

Simplify the expression 9n+1/4+6y+4n-4y

Varvara68 [4.7K]

Answer: =13n+2y+1/4

Step-by-step explanation: Hope this help :D

Let simplify step by step

9n+1/4+6y+4n-4y

=9n+1/4+6y+4n-4y

combine like terms:

=9n+1/4+6y+4n+-4y =(9n+4n) +(6y+-4y) +(1/4)

=13n+2y+1/4 Hope

5 0

2 years ago

Doug is a zookeeper in charge of monitoring the "aquatic" section at the North End Zoo. A baby dolphin was born on Wednesday and

Valentin [98]

Answer:

w(x)=2.3x+31

Step-by-step explanation:

From the information given, the function would indicate that the weight of the dolphin after x days would be equal to the 31 pounds the baby weighed when it was born plus 2.3 lbs that is the average rate it is growing for the number of days:

w(x)= 2.3x+31, where:

w(x)= weight of the dolphin

x=number of days

7 0

3 years ago