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2 years ago

PLEASE HELP ASAP I WILL MARK BRAINLIST (Questions and Answers pictured)

Mathematics

2 answers:

Strike441 [17]2 years ago

8 0

Answer:

g(x)=3f(2x)

I think

nexus9112 [7]2 years ago

6 0

Answer:

The first equation, sorry can’t explain.

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What is the equation, in point-slope form, for a line that goes through (2, −6) and has a slope of −3/4 ? y−6=3/4(x−2) y

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The equation that is in point-slope form for a line that goes through (2,-6) and has a slope of -3/4 is y+6=-3/4(x-2).

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Based on the side lengths given (a, b, and o, which triangles are right triangles?

Cloud [144]

Answer:

2 & 3

Step-by-step explanation:

Pythagorean Theorem is $a^2+b^2=c^2$ .

If the values given in each option satisfy the theorem, the sides will make a right triangle.

<h3>For Option One:</h3>

$4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}$

The sides would not make a right triangle.

<h3>For Option Two:</h3>

$6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}$

The sides would make a right triangle.

<h3>For Option Three:</h3>

$5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}$

The sides would make a right triangle.

<h3>For Option Four:</h3>

$6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}$

The sides would not make a right triangle.

The correct answer should be options two and three.

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2 years ago

Approximately how many times as great is the volume of a grapefruit with a diameter 16 cm as the volume of a lime with a diamete

SIZIF [17.4K]

Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.

Step-by-step explanation:

You need to use the formula for calculate the volume of a sphere. This is:

$V=\frac{4}{3}\pi r^3$

Where "r" is the radius.

<u>Volume of the grapefruit</u>

You know that its diameter is 16 centimeters.

Since the radius is half the diameter, you get that its volume is:

$V_g=\frac{4}{3}\pi (\frac{16\ cm}{2}) ^3\\\\V_g= 2,144.66\ cm^3$

<u> Volume of the lime</u>

According to the information given in the exercise, the diameter of the lime is 8 centimeters.

As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:

$V_l=\frac{4}{3}\pi (\frac{8\ cm}{2}) ^3\\\\V_l= 268.08\ cm^3$

In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:

$\frac{2,144.66\ cm^3}{268.08\ cm^3}\approx8\ times$