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4 years ago

In geometric terms, which of the below would be the best description of a POINT?

Mathematics

2 answers:

Finger [1]4 years ago

8 0

The answer is D all of the above. A point is shown as only a dot meaning it can't have length, width, or height.

Hope the helps!

Elodia [21]4 years ago

8 0

D. all the above due to it only being 1 dimensional

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50 points! Tell whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.

Nady [450]

Answer:

(1,3) is inside the triangle

Step-by-step explanation:

Orthocenter is the intersection of altitudes.

We'll calculate the slopes of the two sides and their altitudes ad find the intersection.

m = (3 - 5)/(4 - (-1)) = -2/5

<u>Perpendicular slope:</u>

-1/m = 5/2

<u>Perpendicular line passes through S(-1, -2):</u>

y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2

m = (-2 - 3)/(-1 -4) = -5/-5 = 1

<u>Perpendicular slope:</u>

-1/m = -1/1 = -1

<u>Perpendicular line passes through Q(-1, 5):</u>

y - 5 = -(x - (-1)) ⇒ y = -x + 4

The intersection of the two lines is the orthocenter.

<u>Solve the system of equations to get the coordinates of the orthocenter:</u>

5/2x + 1/2 = x + 4
5x + 1 = -2x + 8
7x = 7
x = 1

<u>Find y-coordinate:</u>

y = -1 + 4 = 3

The orthocenter is (1, 3)

If we plot the points, we'll see it is inside the triangle

6 0

3 years ago

Free 5 points!+thanks. But you have to answer this easy question! What's your zodiac sign?

weeeeeb [17]

I am a capricorn :) wbu?

3 0

3 years ago

Read 2 more answers

What initial investment must be made to accumulate $60000 in 17 years if the money is invested in a mutual fund that pays 12% an

mars1129 [50]

$7881.18

Step-by-step explanation:

Let the initial Investment be $P_{0}$ . The Interest is compounded on a monthly basis at 12% annual interest rate. After 17 years, the Investment amounts to $60,000.

As the annual interest rate is 12%, the monthly interest rate is 1%.

Since this is a compound interest problem, the total amount can be modeled as follows: $P(t)=P_{0}(1+\frac{i}{100})^{t}$

Here $i$ is the interest rate, i.e $1$ , and t is the number of time periods, i.e $17\textrm{ years x }12\frac{\textrm{months}}{\textrm{year}}$ = $204\textrm{ months}$

$60,000=P_{0}\textrm{ x }(\frac{101}{100})^{204}$

$P_{0}=7881.18$

∴ Initial Investment = $7881.18

4 0

3 years ago

How do you round 11,540 to two decimal palces

Scrat [10]

Ok to find this we have to divide 12,000/5770 to find the number of half lives

we get <span>2.07972270364

we can round this decimal to 3

3 half lives</span>

4 0

3 years ago

What is the difference of 1/5 - 3/4

stira [4]

Answer:

1/5 and 3/4 difference is —

-11/20

7 0

3 years ago