MATHEMATICS HIGH SCHOOL

What is the slope of a line that passes through the points (3,-2) and (-5,-4)

Answers

Answer 1

Answer: Difference over X axis is -5 - 3 = -8
Difference over Y axis is -4 - (-2) = -2

tan alfa = -2 / -8 = 1/4 = 0.25

Answer 2

Answer:

Answer: M=1/4

Step-by-step explanation:

hope this helped...

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Please help me!!! i'll give brainliest if you're correct :)

What is T = 3U/E solve for U

Answers

To solve for U in the equation T = 3U/E, you need to isolate U alone on one side of the equation. To do this, first multiply both sides of the equation by E, to get TE= 3U. Then divide both sides of the equation by 3 to get TE/3 = U. This provides the correct answer: U = TE/3.

Find RS.

A. 12
B. 5
C. 9

Answers

Answer:

B) RS=5

Step-by-step explanation:

(2x-6)+(1)+(x-4)=18

2x-6+1+x-4=18

3x-9=18

3x=18+9

3x=27

x=9

Find RS

x-4

9-4

it may be 12...........

10ft 10ft 16ft height is 8 ft what's the area of a triangle

Answers

Answer:

The area is 64ft ^2.

Step-by-step explanation:

I believe this is an isosceles triangle and if so our base will be 16ft and our height will be 8ft, knowing this we can solve for the area.

Use the form A=bh/2

Now plug it in...

A=16x8/2

A=128/2

A=64ft ^2

Hope this helps :)

An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.

Answers

The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus $5√(3)$ . A whole side of the triangle is $10√(3)$ . Multiply that by 3 to get the perimeter of $30√(3)$ .

Write an exponential function to model the situation. A population of 470 animals decreases at an annual rate of 12%.

Answers

The exponential function that models the following situation is given as follows:

$A(t) = 470(0.88)^t$

What is an exponential function?

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

In this problem:

The initial population is of 470 animals, hence A(0) = 470.

It decreases 12% a year, hence r = 0.12.

Then, the equation is given by:

$A(t) = A(0)(1 - r)^t$

$A(t) = 470(1 - 0.12)^t$

$A(t) = 470(0.88)^t$

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

$\bf \qquad \textit{Amount for Exponential Decay}\n\nA=P(1 - r)^t\qquad \begin{cases}A=\textit{accumulated amount}\nP=\textit{initial amount}\to &470\nr=rate\to 12\%\to (12)/(100)\to &0.12\nt=\textit{elapsed time}\n\end{cases}\n\n\nA=470(1-0.12)^t\implies A=470(0.88)^t$

What is the difference between 5√3 and √27

Answers

Answer:

2√3

Step-by-step explanation:

5√3 - √27

= 5√3 - √9√3

= 5√3 - 3√3

=2√3

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