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3 years ago

Horatio is drawing a rectangle on a coordinate plane. He has already drawn three of the vertices

1 answer:

6 0

<span>Distance formula in three dimensions for the distance between the points
is:<span> </span>Therefore the length of the diagonal is the distance between the points P(1,1,2) and Q(3,4,5) :</span>

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Which is an equation of the line with slope -3 and passes through (2,-1)?

Anuta_ua [19.1K]

Answer:

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 )

Here m = - 3, so

y = - 3x + c ← is the partial equation

T find c substitute (2, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - 3x + 5 ← in slope- intercept form

Add 3x to both sides

3x + y = 5 ← in standard form → C

7 0

3 years ago

Read 2 more answers

Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y

kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

substitute in the formula

$d=\sqrt{(5-2)^{2}+(2-0)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$dAB=\sqrt{13}\ units$

step 2

Find the distance BC

substitute in the formula

$d=\sqrt{(7-5)^{2}+(-1-2)^{2}}$

$d=\sqrt{(2)^{2}+(-3)^{2}}$

$dBC=\sqrt{13}\ units$

step 3

Find the distance AC

substitute in the formula

$d=\sqrt{(7-2)^{2}+(-1-0)^{2}}$

$d=\sqrt{(5)^{2}+(-1)^{2}}$

$dAC=\sqrt{26}\ units$

step 4

Compare the length sides

$dAB=\sqrt{13}\ units$

$dBC=\sqrt{13}\ units$

$dAC=\sqrt{26}\ units$

$dAB=dBC$

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

$(AC)^{2} =(AB)^{2}+(BC)^{2}$

substitute

$(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}$

$26=13+13$

$26=26$ -----> is true

therefore

Is an isosceles right triangle

8 0

3 years ago

Can you solve it ????

Dima020 [189]

Angle ABD=87 degrees
angle ABC+angle CBD= angle ABD
Therefore, 9x-1+6x+58=87
15x+57=87
15x=87-57
15x=30
x=30/15
x=2

Angle ABC= 9x-1
=9(2)-1
=18-1
=17 degrees

7 0

3 years ago

What is 1 38/40 simplified

sesenic [268]

Your answer will be 1 19/20

hope this helps

5 0

3 years ago

Read 2 more answers

3.225×100 is what again let see who gets it

Sonbull [250]

This would result in 322.5. you get this by moving the decimal place two to the right

6 0

3 years ago

Read 2 more answers