All categories

3 years ago

50 points! Please help you guys! I will mark brainliest and random answers will be reported

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

6 0

Answer:

Step-by-step explanation:

Slope of KL = (1-0)/(-3-0) = -⅓

Slope of JL = (3-0)/(1-0) = 3

The product of the slopes is -1, so L is a right angle. The orthocenter of a right triangle lies ON the triangle at the vertex of the 90° angle. Coordinates of orthocenter: (0,0)

:::::

DE is horizontal, so its altitude to F is the vertical line x=1. The altitude does not intersect segment DE, so the triangle is obtuse. The orthocenter of an obtuse triangle lies OUTSIDE of the triangle.

Slope of DF = (-2-2)/(-3-1) = 1

Altitude to E(-2,-2):

y+2 = -1(x+2)

y = -x-4

Orthocenter is Intersection of altitudes: =(1,-5).

You might be interested in

I need #1 done (show work) will give brainliest

allochka39001 [22]

Step-by-step explanation:

<u>Statement Reason </u>

∠5 and ∠7 are vertical angles Vertical angles theorem

m∠5 = m∠7 Definition of vertical angles

m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given

-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality

-6x + 8 = 3x - 9 - 1 Distributive property

3x + 6x = 8 + 10 Addition property

9x = 18 Addition property

x = 18/9 Division property

x = 2 Proved

6 0

3 years ago

If the population of a particular country is growing at 3.2 % compounded continuously, how long will it take the population to

Lisa [10]

Answer:

It will take 34.33

Step-by-step explanation:

* Lets talk about the compound continuous growing

- Compound continuous growing can be calculated using the formula:

$A=Pe^{rt}$

# A = the future value

# P = the initial amount

# r = the growing rate in decimal

# t = the time

* Lets solve the problem

- The population of a particular country is growing at 3.2 %

compounded continuously

∴ r = 3.2/100 = 0.032

- We need to find how long will it take the population to triple

∵ The initial population is P

∴ A = 3P

∵ $A=Pe^{rt}$

∴ $3P=Pe^{0.032t}$

- Divide both sides by P

∴ $3=e^{0.032t}$

- Insert ㏑ for both sides

∴ $ln(3)=ln(e^{0.032t})$

- Remember $ln(e^{n})=n$

∴ ㏑(3) = 0.032t

- Divide both sides by 0.032

∴ t = ㏑(3)/0.032 = 34.33

* It will take 34.33

8 0

3 years ago

At the movie theatre, child admission is $5.30 and adult admission is $8.40. On Wednesday, three times as many adult tickets as

aleksley [76]

Answer:

Step-by-step explanation:

Let x = number of child tickets sold.

Cost of x child tickets is x * 5.30 = 5.3x.

"three times as many adult tickets as child tickets were sold"

Number of adult tickets sold: 3x

Cost of 3x adult tickets is 3x * 8.40 = 25.2x

Cost of all tickets is 5.3x + 25.2x = 30.5x

Cost of all tickets is $1189.50

30.5x = 1189.5

x = 1189.5/30.5

x = 39

Answer: 39

6 0

4 years ago

Suppose I had a tower that stood two Earth radii tall from the surface of the Earth to the top I start on the ground with a scal

weqwewe [10]

Answer: The rock would still weigh 90lbs

Step-by-step explanation:

No, weight has being proven to reduce by the further you move from the center of the Earth. But since even the tallest buildings in the world or tallest mountains are a tiny fraction of the Earth’s radius, the difference in weight won’t be something that can be measured as it’s a tiny fraction. So the mass of the rock doesn’t change what changes is the gravitational force ( g ). So the rock would still end up weighing 90lbs even at the top of the tower because it is still within the earths atmosphere.

4 0

3 years ago

(14+13n+3n^3)+(2+4n+9n^3)

Sliva [168]

Answer:

=12n3+17n+16

i hope this helps :)

8 0

4 years ago

Read 2 more answers