All categories

3 years ago

The endpoints of CD are C(3,−5) and D(7, 9). The coordinates of the midpoint M of CD are?

Mathematics

1 answer:

Nutka1998 [239]3 years ago

3 0

Answer:

M(5,2)

Step-by-step explanation:

We use the midpoint rule:

$( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )$

We just have to find the arithmetic mean of the x and y-coordinates.

The endpoints of CD are given as C(3,−5) and D(7, 9).

We substitute these values to get:

$( \frac{7 + 3}{2}, \frac{9 + - 5}{2} )$

$( \frac{10}{2}, \frac{4}{2} )$

$(5, 2)$

Therefore the coordinates of the midpoint M of CD are (5,2)

You might be interested in

Sow your work plz and thank you! Best answer gets brainliest!

ELEN [110]

First of all, a 2 foot kangaroo is casting a 7 foot shadow.
Next we do 7 divided by 2 which equals 3.5.
Since we know the shadow is going to be 3.5x the object size we have to divide its shadow by 3.5

14 divided by 3.5 is 4 so the Eucalyptus tree is 4ft long

Your answer=4ft

Hope this helps!

8 0

3 years ago

Read 2 more answers

What are compatible numbers?

castortr0y [4]

Compatible numbers are numbers that are close in value to the actual numbers and easy to add, subtract, multiply, or divide mentally. They are useful in estimating the sum, difference, product, or quotient.

7 0

3 years ago

Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and

Monica [59]

Step-by-step explanation:

We have got the lines :

$y=ax+b\\y=cx+d$

Both lines intercept the x-axis in the point :

$I = (i_{1} ,i_{2})$

In all point from x-axis the y-component is equal to 0.

$I=(i_{1},o)$

We replace the I point in the lines equations:

$0=a(i_{1})+b \\0=c(i_{1})+d$

From the first equation :

$0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}$

From the second equation :

$0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}$

Then $i_{1}=i_{1}$

Finally :

$\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc$

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0

3 years ago

Kurt johnson delivers packages for a delivery company. he receives $7.50 for every package delivered. what does kurt earn in a w

Ivan

Y = 7.50x.....y = earnings per week , x = number of packages delivered

48 packages.....so x = 48
y = 7.50(48)
y = 360.....so if he delivers 48 packages, he earns $ 360

8 0

3 years ago

Read 2 more answers

Two pizzas were each cut into 6 slices. Mom ate 1/6 of the veggie pizza and 1 slice of the pepperoni pizza. Thea ate 1/2 the veg

Ronch [10]

1 slice of veggie pizza and 1 slice of pepperoni pizza. = 2 slices of pizza in total

5 0

3 years ago

Read 2 more answers