All categories

3 years ago

If segment CD has endpoints (–3, 4) and (5, 2), what are the coordinates of its midpoint?

1 answer:

7 0

Ok order to solve this question, you have to use the midpoint formula which is M=(X1+X2/2,Y1+Y2/2)

M=(-3+5/2,4+2/2)
M=(2/2,6/2)
M=(1,3)

Hope this helps

You might be interested in

A band has 36 members. They are arranged into 6 equal rows. How many band members are in each row? Can the same 36 members be pl

Galina-37 [17]

Answer:

6 people would be in each row // It isn't possible for there to be 7 equal rows

Step-by-step explanation:

36 members/6 rows= 6 people per row // 36 members/7 rows= 5.14..... people per row (just doesn't work!)

6 0

4 years ago

Two vertical posts stand side by side. One post is 8 feet tall and the other is 17 feet tall. Is a 24 foot wire is stretched bet

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

The distance between the two poles is 22.248 feet

•This question can be solved by using Pythagoras theorem that is

Slant height ^2 = height^2 + base^ 2

•Here,

height = difference between the heights of two poles

= 17-8

= 9 feet

Slant height = length of wire stretched between the two poles

= 24 feet

•Distance between poles = √(24*24 – 9*9)

= 22.248 feet

3 0

3 years ago

The number of passengers using a railway fell from 190,205 to 174,989 during a 5-year period. Find the annual percentage decreas

lakkis [162]

Answer:

1.65%

Step-by-step explanation:

We will assume the percentage was the same over the 5 years. The number of passengers using a railway is expressed by the formula

$P(t) = P_{o}(1 - r)^{t}$

Where

P(t) is the number of passengers after 5 years

P(t) = 174,989

P₀ is the number of the passengers at the beginning of the period

P₀ = 190,205

r is the rate in percentage r = ?

t is time duration t = 5 years

Substituting these given values into the formula,

$174,989 = 190,205(1 - r)^{5}$

$(1 - r)^{5} = \frac {174,989}{190,205}$

$1 - r = \sqrt[5]{ \frac {174,989}{190,205}}$

$1 - r = \sqrt[5]{0.920}$

$1 - r = 0.9835$

$r = 1 - 0.9835$

$r = 0.0165$

r = 1.65%

The annual percentage decrease over the period of 5 years is 1.65%

5 0

3 years ago

)Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the

konstantin123 [22]

Answer:

$a=\sqrt{7}$

$\text{tan}(A)=\frac{\sqrt{7}}{3}$

Step-by-step explanation:

Please find the attachment.

We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.

To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.

$a^2+b^2=c^2$