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4 years ago

Frederick Douglass was born a slave in Maryland.

Mathematics

1 answer:

NISA [10]4 years ago

4 0

Answer:

That is a fact i think but let me reaserch for that and tomorrow i will give you an answere

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I need help! (HAPPY MLK DAY!!!)

olga2289 [7]

The slope and length of the given sides of the quadrilateral can be

found by using the coordinates of the vertices.

Correct responses:

$Slope \ of \ \overline{IJ} = \underline{-\dfrac{7}{6} }$ , Length of $\overline{IJ}$ = $\underline{\sqrt{85} }$

$Slope \ of \ \overline{JK} = \underline {-\dfrac{2}{9}}$ , Length of $\overline{JK}$ = $\underline{\sqrt{85} }$

$Slope \ of \ \overline{KL} = \underline{-\dfrac{7}{6} }$ , Length of $\overline{KL}$ = $\underline{\sqrt{85}}$

$Slope \ of \ \overline{LI} = \underline{ -\dfrac{2}{9} }$ , Length of $\overline{LI}$ = $\underline{\sqrt{85} }$

<h3>Methods used to find the slope and length of a line</h3>

The given coordinates of the vertices are;

K(-7, 0), J(2, -2), I(8, -9), L(-1, -7)

$Slope = \mathbf{\dfrac{y_2 - y_1}{x_2 - x_1}}$

$Length \ of \ line = \mathbf{ \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}$

Therefore;

$Slope \ of \ \mathbf{\overline{IJ}} = \dfrac{-2 - (-9)}{2 - 8} = \dfrac{7}{-6} = \underline{ -\dfrac{7}{6}}$

$Length \ of \ \mathbf{\overline{IJ}} = \sqrt{(2 - 8)^2 + (-2 - (-9))^2} = \underline{\sqrt{85}}$

$Slope \ of \ \mathbf{\overline{JK}} = \dfrac{0 - (-2)}{-7 - 2} = \dfrac{2}{-9} = \underline{-\dfrac{2}{9}}$

$Length \ of \ \mathbf{\overline{JK}} = \sqrt{(-7 - 2)^2 + (0 - (-2))^2} = \underline{ \sqrt{85}}$

$Slope \ of \ \mathbf{\overline{KL}} = \dfrac{0 - (-7)}{-7 - (-1)} = \dfrac{7}{-6} = \underline{ -\dfrac{7}{6}}$

$Length \ of \ \mathbf{\overline{KL} }= \sqrt{(-7 - (-1))^2 + (0 - (-7))^2} =\underline{ \sqrt{85}}$

$Slope \ of \ \mathbf{\overline{LI}} = \dfrac{(-9 - (-7))}{(8 - (-1))} = \dfrac{-2}{9} = \underline{-\dfrac{2}{9}}$

$Length \ of \ \mathbf{\overline{LI}} = \sqrt{(8 - (-1))^2 + (-9 - (-7))^2} = \underline{\sqrt{85}}$

Learn more about finding the slope and length of a line here:

brainly.com/question/11612395

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5 0

3 years ago

411x8=(400x. )+(. x8)

irinina [24]

The answer to your problem is 0

3 0

3 years ago

A tin man has a head that is a cylinder with a cone on top .The height of the cylinder is 12 inches and the height of the cone i

faust18 [17]

Answer:

The answer to your question is 224 π in³

Step-by-step explanation:

Data

Cylinder Cone

height = 12 in height = 6 in

radius = 4 in radius = 4 in

Volume = x Volume = y

Process

1.- Calculate the volume of the Cylinder

V = πr²h

V = π (4)²(12)

V = π(16)(12)

V = 192 π

2.- Calculate the volume of the Cone

V = 1/3 πr²h

V = 1/3 π(4)²(6)

V = 1/3 π(16)(6)

V = 96/3 π

V = 32 π

3.- Calculate the volume of the head

Volume = 192 π + 32 π

Volume = 224 π in³

8 0

3 years ago

Read 2 more answers

Name 4 numbers that equal 15

Natasha2012 [34]

Answer:

1+5+2+8

Step-by-step explanation:

5 0

4 years ago

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Verify seca(1-sina)(seca+tana)=1

beks73 [17]

Seca(1-sina)(seca+tana)=1
Left hand side
=(1-sina) (seca +tana) / cosa
=seca +tana - sinaseca - sinatan / cosa
=seca + tana -tana -(sin^2a/cosa) / cosa
=(1/cosa - sin^2a/cosa) / cosa
= (1-sin^2a / cosa) / cosa
= (1-sin^2a)/ (cos^2a)
=1 (verified)

5 0

4 years ago

Read 2 more answers