All categories

4 years ago

Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D? units

Mathematics

2 answers:

maw [93]4 years ago

8 0

Answer:

5 units

Step-by-step explanation;

We can use the formula for finding the length or magnitude of line joining two points.

Length = √((x2-x1)² + (y2-y1)²)

The points joining the line are C (-1,4) and D (2,0)

Length = √((2+1)² + (0-4)²)

= √((3²) + (-4)²)

= √ (9+16)

= √25

= 5 units

mel-nik [20]4 years ago

8 0

Answer:

5 units

Step-by-step explanation:

answered the question on edgenuity

You might be interested in

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form? 5x + 3y = 18 5x – 3y = 30

ddd [48]

$\bf C(\stackrel{x_1}{3}~,~\stackrel{y_1}{-5})\qquad 
D(\stackrel{x_2}{6}~,~\stackrel{y_2}{0})
\\\\\\
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-5)}{6-3}\implies \cfrac{0+5}{6-3}\implies \cfrac{5}{3}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{5}{3}(x-3)\implies y+5=\cfrac{5}{3}(x-3)$

$\bf \stackrel{\textit{multiplying both sides by LCD of 3}}{3(y+5)=3\left[ \cfrac{5}{3}(x-3) \right]}\implies 3y+15=5(x-3)
\\\\\\
3y+15=5x-15\implies -5x+3y=-30\implies \stackrel{\textit{multiplying by -1}}{5x-3y=30}$

bearing in mind the standard form uses all integers, and the x-variable cannot have a negative coefficient.

6 0

3 years ago

Read 2 more answers

Four times a number is greater than 48. what are the possible values for the number?

Novosadov [1.4K]

Answer:

52 =4x 13

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Eric is doing a class project for his television broadcasting class in college during 35 minutes of television on one of the maj

Bingel [31]

Ration of minutes of television to commercial is 35:7.8
3 hours and 50 minutes is 230 minutes
230:X
35:7.8
Multiply both sides by 6.6
X=51.5 minutes
There is about 51.5 minutes of commercials

5 0

3 years ago

For `z_1 = 9"cis" (5pi)/(6)` and `z_2 = 3"cis" (pi)/(3)`, find `(z1)/(z2)` in rectangular form.

sammy [17]

Answer:

option D is correct, i.e. 3i

Step-by-step explanation:

Given are the complex number as Z₁ = 9 cis(5π/6) and Z₂ = 3 cis(π/3)

So magnitudes are r₁ = 9, and r₂ = 3

And arguments are ∅₁ = 5π/6, and ∅₂ = π/3

We know the formula for division of complex number is given as follows:-

If Z₁ = r₁ cis(∅₁) and Z₂ = r₂ cis(∅₂)

Then |Z₁ / Z₂| = (r₁/r₂) cis(∅₁ - ∅₂)

|Z₁ / Z₂| = (9/3) cis(5π/6 - π/3)

|Z₁ / Z₂| = 3 cis(5π/6 - 2π/6)

|Z₁ / Z₂| = 3 cis(3π/6)

|Z₁ / Z₂| = 3 cis(π/2)

|Z₁ / Z₂| = 3 cos(π/2) + 3i sin(π/2)

|Z₁ / Z₂| = 3*(0) + 3i*(1)

|Z₁ / Z₂| = 0 + 3i

|Z₁ / Z₂| = 3i

Hence, option D is correct, i.e. 3i

8 0

3 years ago

A bottle holds 3 pints of lemonade. How much is this in fluid ounces?

andreev551 [17]

Since there is 16 fluid ounces in a pint, you would multiply 16x3 which is 48.

Hope this helps!
❤️

7 0

3 years ago