All categories

3 years ago

Question 4

Mathematics

1 answer:

sleet_krkn [62]3 years ago

3 0

Answer:

$\displaystyle about\:8\:units$

Step-by-step explanation:

Use the Distance Formula:

$\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = D \\ \\ \sqrt{[6 - 1]^2 + [-7 + 1]^2} = \sqrt{5^2 + [-6]^2} = \sqrt{25 + 36} = \sqrt{61} ≈ 7,810249676 ≈ 8$

Since we are talking about distance, we ONLY want the NON-NEGATIVE root.

I am joyous to assist you anytime.

You might be interested in

What is the value of cos θ given that (-2, 9) is a point on the terminal side of θ?

liq [111]

Answer:

a) cosθ = $\frac{-2\sqrt{85} }{85}$

Step-by-step explanation:

Step(i):-

Given point ( x , y ) = ( - 2 , 3 )

We know that the polar co-ordinates

x = r cos θ and y = r sinθ

where $r = \sqrt{x^{2} +y^{2} }$

$r = \sqrt{(-2)^{2} +(9)^{2} } = \sqrt{4+81} = \sqrt{85}$

Step(ii):-

x = r cos θ

cosθ $= \frac{x}{r}$

cosθ = $\frac{-2}{\sqrt{85} } = \frac{-2}{\sqrt{85} } X \frac{\sqrt{85} }{\sqrt{85} }$

cosθ = $\frac{-2\sqrt{85} }{85}$

3 0

3 years ago

Given that x square + 5 x + c is a perfect square find the value of C

lawyer [7]

Answer:

c = $\frac{25}{4}$

Step-by-step explanation:

To make a perfect square

add ( half the coefficient of the x- term )² to x² + 5x

x² + 5x + ( $\frac{5}{2}$ )²

= x² + 5x + $\frac{25}{4}$

= (x + $\frac{5}{2}$ )² ← a perfect square

5 0

3 years ago

Tammy bought 20 pounds of flour for $11. How many pounds of flour did she get per dollar?

frozen [14]

Answer:

1.82 pounds per dollar

Step-by-step explanation:

20/11= 1.82

6 0

3 years ago

Read 2 more answers

Which is an equation of the line that passes through the point

Allisa [31]

Answer:

y = $\frac{1}{2} x$ +3

Step-by-step explanation:

4 0

3 years ago

Choose the correct answer. > < = We can't compare them= fastbridge quiz amath

Verizon [17]

Answer:

$\leq$ or $\geq$

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers