Calculate the area of a triangle ABC with altitude CD, given A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2). A. 14 square units b. 15 square units c. 18 square units d. 20 square units

Answers

Answer 1

Answer:

15

Step-by-step explanation:

took the test

Answer 2

The area of the triangle is 15 square units if the triangle ABC with altitude CD, given A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2) option (b) is correct.

What is a triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle ABC with altitude CD.

The coordinates for the triangle are A (-3, -4), B (-6, 2), C (0, 0), and

D (-4, -2)

From the figure, the distance between C and D will be the height of the triangle:

We can calculate the distance between the points by using the distance formula:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

h = √20

b = √45

Area of triangle = (1/2)bh = (1/2)√20×√45

= (1/2)30

= 15 square units

Thus, the area of the triangle is 15 square units if the triangle ABC with altitude CD, given A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2) option (b) is correct.

Learn more about the triangle here:

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Calculate The Area Of A Triangle ABC With Altitude CD, Given A (-3, -4), B (-6, 2), C (0, 0), And D (-4,

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Answer:

The value of y=6

Step-by-step explanation:

Given that y varies directly with x

Using the formula

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In order to find 'k' use the given condition

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Eric and Carly each made a bowl of punch. Carly used 5 times as much lemonade as Eric did. If Eric used 1/4 of a
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Answer:

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Step-by-step explanation:

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у
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Step-by-step explanation:

a bag contains 3 red balls and 1 blue ball. what is the expected number of red balls in the first bag

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Answer:

[tex]Expected\ Value = 3[/tex]

Step-by-step explanation:

Given

[tex]Red\ Balls = 3[/tex]

[tex]Blue\ Balls = 1[/tex]

Required

Determine the expected number of red balls

First, we calculate the probability of a red ball

[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]

[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]

[tex]P(Red\ Ball) = \frac{3}{4}[/tex]

[tex]P(Red\ Ball) = 0.75[/tex]

The expected value is then calculated as:

[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]

[tex]Expected\ Value = 0.75 * 4[/tex]

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What is the value of the expression when a = 5, b = 4 , and c = 6?⁢

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

A horizontel line equation y=0x+-9 the slope is zero slope

Step-by-step explanation:

Answer:

The slope is 0.

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Answer:

Love and support from parents and respect parents

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Step-by-step explanation:

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the half-life of radium-226 is about 1,590 years. How much of a 100mg sample will be left in 500 years

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Step-by-step explanation:

Sorry if this is not accurate but here is how your gonna do it

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Answers

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Step-by-step explanation:

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3

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Step-by-step explanation:

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3/4

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Answers

Given:

The exponential function passes through two points (0,4) and (3,32).

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The formula for the exponential function.

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50 degrees is the answer
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Given:

[tex](g\circ f)(a)=|a|-2[/tex]

To find:

The functions f(x) and g(x).

Solution:

We know that,

[tex](g\circ f)(a)=g[f(a)][/tex]

If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then

[tex](g\circ f)(a)=g[a^2-4][/tex]

[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]

Option A is incorrect.

If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then

[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]

[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]

[tex](g\circ f)(a)=a-2-2[/tex]

[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]

Option B is incorrect.

If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then

[tex](g\circ f)(a)=g[5+a^2][/tex]

[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]

[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]

[tex](g\circ f)(a)=|a|-2[/tex]

Option C is correct.

If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then

[tex](g\circ f)(a)=g[3-3a][/tex]

[tex](g\circ f)(a)=4(3-3a)-5[/tex]

[tex](g\circ f)(a)=12-12a-5[/tex]

[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]

Option D is incorrect.

Therefore, the correct option is C.

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Omg if I had my TI calculator I could help you !!

A liter of water contains about 3.35•10^25 molecules. A certain river discharges about 2.8•10^8 litter of water every second. About how many molecules does the ...

Answers

Answer: [tex]9.38\times10^{33}[/tex]

Step-by-step explanation:

Given: Molecules in a liter of water = [tex]3.35\cdot10^{25}[/tex]

A certain river discharges about [tex]2.8\cdot10^8[/tex] liter of water every second.

Molecules in river = [tex]3.35\cdot10^{25}\times2.8\cdot10^8[/tex]

[tex]=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}[/tex]

Hence, there are [tex]9.38\times10^{33}[/tex] does the molecules in river per second.

PLEASE HELP ME!
100 POINTS!
A cylinder has a volume of 20x®y4 units cubed. If the base of the cylinder has an area of
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O 15wy?
o 4x®y?
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Answers

Answer:

100xy

Step-by-step explanation:

The height of the cylinder is 4x³y² unit.

The correct option is A.

What is a cylinder?

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given:

A cylinder has a volume of 20x⁶y⁴ units cubed.

The base of the cylinder has an area of 5x³y² units squared.

And the volume of the cylinder V = Base area x height.

So, 20x⁶y⁴ = 5x³y² (height).

The height of the cylinder = 20x⁶y⁴/ 5x³y²

The height of the cylinder = 4x³y²

Therefore,  4x³y² is the height of the cylinder.

To learn more about the cylinder;

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The complete question is given in the attached image.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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