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2 years ago

9

PLEASE HELP ME QUICK!!A train moves at a constant speed of 8 miles every 6 minutes. Fill in the table below to show how far the

train travels according to different
amounts of time.

1 answer:

AURORKA [14]2 years ago

3 0

Answer:

1. 4

2. 20

3. 80

Step-by-step explanation:

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Coordinates A(2,5) B(6,4) and C(6,0) are connected to form ABC

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The circle below is centered at (10,4) and has a radius of 4. What it’s equation?

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Answer:

$(x-10)^2 + (y-4)^2 = 16$

Step-by-step explanation:

To write the equation using a center and a radius, use the vertex form of the equation.

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Substitute the values h=10 and k=4 into the equation along with r = 4.

$(x-10)^2 + (y-4)^2 + 4^2\\(x-10)^2 + (y-4)^2 = 16$

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3 years ago

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Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?

Mashutka [201]

Answer:

He showed that f(n) ÷ f(n - 1) was a constant ratio.

Given that Jake has proved that a function f(x) is a geometric sequence.

GEOMETRIC SEQUENCE: A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.

So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.

That is, if 'c' is the constant that was used in the proof, then we must have

This implies that

Therefore, he showed that f(n) ÷ f(n - 1) was a constant ratio.

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3 years ago

Triangles Unit Test part 1 A length of rope is stretched between the top edge of a building and a stake in the ground. The head

musickatia [10]

Answer:

The building is 32 feet tall.

Step-by-step explanation:

Consider the figure drawn below representing the given scenario.

AB represents the height of building, BC is the distance between the stake and building, C represents the stake at ground level, and DE represents the height of the tree growing halfway between building and stake.

Since the tree is growing halfway between B and C, therefore, the point E divides the line segment BC into 2 equal parts.

Therefore, $BE = EC$ or E is the midpoint of BC.

Also, from the figure, it is clear that both tree and building are vertical to the ground. So, DE || AB.

Now, from converse of mid-segment theorem, if a line passes through the midpoint of one side of a triangle and also parallel to the third side, then the line also passes through the midpoint of the second side and half the length of the third side (parallel side)

So,

$DE=\frac{1}{2}\times AB\\\\16=\frac{AB}{2}\\\\AB=16\times 2=32\ ft$

Therefore, the building is 32 feet tall.

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3 years ago