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3 years ago

Please help me plsssssss! asappp. I'll mark brainlest and give points

Mathematics

1 answer:

Nookie1986 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

1)a) Abscissa of O 0

Abscissa of A 4

Abscissa of B -3 {opposite of 3}

Abscissa of C 3 {3 is the only positive integer like A}

Abscissa of D -4.5

Abscissa of E -6

Abscissa of F -1 {Midpoint of AE = (6+4)/2 = 10/2 = 5th number from -6 or 4}

b) OB = 3 units

DA = 8.5 {4.5 +4 = 8.5}

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3 years ago

Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)

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Answer: $\bold{y=-\dfrac{1}{3}x-1}$

Step-by-step explanation:

(4, 1) & (2, -5)

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$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\$

Next, find the midpoint of (4, 1) and (2, -5):

$Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)$

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

$y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\$

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3 years ago

What is the volume of a pyramid 4 cm,4 cm by 12 cm

Alenkinab [10]

Answer:

The volume of pyramid with dimensions 4cm , 4cm by 12cm is $\bold{64 \mathrm{cm}^{3}}$

Solution:

Volume of a pyramid can be found out by using the below formula,

$\bold{v = \frac{1}{3} l w h}$

where,

v is the volume of pyramid

l is the length of pyramid

w is the width of pyramid

h is the height of pyramid

from question, given that l = 4 ; w = 4; h = 12

hence the volume of pyramid for the given dimensions is

$v = \frac{1}{3} \times 4 \times 4 \times 12$

$= 4 \times 4 \times 4$

$= 64 \mathrm{cm}^{3}$

So the volume of pyramid is $\bold{64 \mathrm{cm}^{3}}$

3 0

3 years ago

Please help me plsssssss! asappp. I'll mark brainlest and give points ​

Please help me plsssssss! asappp. I'll mark brainlest and give points