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Cerrena [4.2K]
2 years ago
12

If an orthocenter lies inside of a triangle, then the triangle must be

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
8 0

Answer:

<h2><u><em>acute</em></u></h2>

Step-by-step explanation:

Remember :the orthocenter of  a triangle is the point of concurrency of the 3 altitudes.

\large \text{If an orthocenter lies inside of a triangle, then the triangle must be}\ :\\\\\large isosceles. \\\\\large obtuse. \\\\\large right. \\\\\large acute \checkmark

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Construct the exponential function that contains the points (0,2) and (3,54)
erma4kov [3.2K]

The exponential function that passes through (0,2) and (3,54) is a growth function

The exponetial function is y = 2 * 3^x

<h3>How to construct the exponential function?</h3>

The points are given as:

(x,y) = (0,2) and (3,54)

An exponential function is represented as:

y = ab^x

Substitute the points in the equation

2 = ab^0 and 54 = ab^3

Solve 2 = ab^0

a = 2

Substitute 2 for a in 54 = ab^3

54 = 2b^3

Divide by 2

27 = b^3

Take the cube roots of both sides

b = 3

So, we have:

y = ab^x

This becomes

y = 2 * 3^x

Hence, the exponetial function is y = 2 * 3^x

Read more about exponential functions at:

brainly.com/question/24077767

8 0
1 year ago
Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
maw [93]
If you put in the substitutions it would be 2*2-(2*2*4)+(3*2)-(-4*2)+(2*4).
Simplified further by multiplying it would be 2*2-8+6--8+8
the negative 8 could be simplified further since the negatives cancel out so you'll have 2*2-8+6+8+8.
Then using the order of operations you would multiply the 2's together first to get 4 so you have 4-8+6+8+8. 
After that it's simple addition giving you an answer of -26.
I'm not sure if you're looking for the final answer or just the equation with substitutions but there's both.

3 0
3 years ago
If one gallon of paint covers 350 square feet how many gallons will you need to cover a wall that is 138 inches by 102 inches
frosja888 [35]
138in x 102in = 14076in sq.
14076/350=40.217
41 gallons of paint.
6 0
3 years ago
Sam drinks water at an incredible rate. She drinks 2 1/5 liters of water every 3/4 of an hour. Sam drinks water at a constant ra
lora16 [44]

Answer:

2.9 litres

or

2 14/15 litres

Step-by-step explanation:

To determine the amount of water Sam drinks in an hour, divide the total amount drunk by the number of hours

Amount drank in an hour = total litres drunk / time

2\frac{1}{5} ÷ \frac{3}{4}

\frac{11}{5} × \frac{4}{3} = \frac{44}{15} = 2\frac{14}{15} litres

7 0
2 years ago
Please help me as I need this by today
sdas [7]
The system shown at the right has no solution, as the grahs never intersect.
On the other hand, the line and the parab. at the left do intersect, and the points of intersection are (-3,0) and (6,6).
6 0
3 years ago
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