The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:<span>

<span> $|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}}$ </span></span>

Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.

$|PA|= \sqrt{ (-2-2)^{2} + (-2-1)^{2}}= \sqrt{16+9}= \sqrt{25}=5$

$|PB|= \sqrt{ (-2-4)^{2} + (-2+1)^{2}}= \sqrt{36+1}= \sqrt{37} \approx 6$

$|PC|= \sqrt{ (-2-2)^{2} + (-2+3)^{2}}= \sqrt{16+1}= \sqrt{17}\approx4$

$|PD|= \sqrt{ (-2+6)^{2} + (-2+6)^{2}}= \sqrt{16+16}= \sqrt{32}\ \textgreater \ \sqrt{25}=5$

$|PE|= \sqrt{ (-2+5)^{2} + (-2-1)^{2}}= \sqrt{9+9}= \sqrt{16}=4$

Answer: B and D

3 0

3 years ago

Heyy I really need help. I don't understand any of this.

mart [117]

Answer:

The parenthesis means to multiply the numbers. I don't understand any of these either but I hope this helps.

Step-by-step explanation:

4 0

2 years ago

A sculptor is selling her work at an exhibit and hopes to earn at least $31,000 in revenue. Small pieces go for $780 and large p

Sauron [17]

The answer should be

780x + 1500y=31000

please correct me if i'm wrong

3 0

2 years ago

Read 2 more answers

Complete the equation of the line through (-9 -9) and (-6 0)

Katena32 [7]

Answer:

y = 3x + 18

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 9, - 9) and (x₂, y₂ ) = (- 6, 0)

m = $\frac{0+9}{-6+9}$ = $\frac{9}{3}$ = 3, thus

y = 3x + c ← is the partial equation of the line

To find c substitute either of the 2 points into the partial equation

Using (- 6, 0), then

0 = - 18 + c ⇒ c = 0 + 18 = 18

y = 3x + 18 ← equation of line

7 0

3 years ago