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3 years ago

The expression below represents the number of trees planted by an environmental agency after t years.

Mathematics

2 answers:

PolarNik [594]3 years ago

6 0

Answer:

C. The initial number of trees planted by the agency is 1,500, and the growth rate is 2% per year.

Hatshy [7]3 years ago

3 0

The initial number of trees is when t = 0:-
1500 * t^0 = 1500 so the answer is either a or c.
The value 1.02 represents a 2% increase so the answer is Option c.

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What is the distance between the points (4.10) and (-3,-14) on the coordinates plane?

jeyben [28]

Answer:

25 units

Step-by-step explanation:

use the distance formula to get the square root of 24² + 7²

this will give you the square root of 625, which is 25

8 0

3 years ago

A line passes through the point (3,6) and has a slope of 5?

hammer [34]

Answer:

y = 5x - 9

Step-by-step explanation:

y - y₁ = m(x - x₁), where (x₁, y₁) = (3, 6)

y - 6 = 5(x - 3)

y = 5x - 15 + 6

y = 5x - 9

6 0

3 years ago

Read 2 more answers

Plot the points in the coordinate plane. Then find the perimeter and area of the polygon.

anyanavicka [17]

Answer:

The answer to your question is below

Step-by-step explanation:

See the graph below

Process

1.- Find the distance from A to B, B to C, C to D, A to D

Formula

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}$

d AB = $\sqrt{(1 + 3)^{2} + (6 - 5)^{2}} = \sqrt{17}$

dBC = $\sqrt{(-2 -6)^{2} + (3 - 1)^{2}} = \sqrt{68}$

dCD = $\sqrt{(-1 - 3)^{2} + (-3 +2)^{2}} = \sqrt{17}$

dAD = $\sqrt{(-1 + 3)^{2} + (-3 - 5)^{2}} = \sqrt{68}$

2.- Find the perimeter

Perimeter = 2 $\sqrt{17} + 2\sqrt{68}$ = $6\sqrt{17}$ u

3.- Find the area

Area = $\sqrt{17} x \sqrt{68}$

Area = $\sqrt{17x68} = \sqrt{1156} = 34 u^{2}$

7 0

3 years ago

Given right triangle A w/a hypotenuse length of 3y + x and a leg of y-x, and right triangle B, w/ a hypotense length of y+5 and

SpyIntel [72]

Triangle A

hypotenuse: 3y + x
leg: y - x

Triangle B

hypotenuse: y + 5
leg: x + 5

Congruency => 3y + x = y + 5 and y - x = x + 5

Solve the system

3y + x = y + 5 -> 2y + x = 5
y - x = x + 5 -> y - 2x = 5

2y + x = 5
-2y + 4x = -10

5x = -5
x = -1
y = (5 -(-1)) / 2 = 6/2 = 3

Verify:

hypotenuses
3y + x = 9 - 1 = 8
y + 5 = 3 + 5 = 8

Legs:

y - x = 3 -(-1) = 3 + 1 = 4
x + 5 = -1 + 5 = 4.

Then both hypotenuses and both legs are congruent.

Answer: x = -1 and y = 3

4 0

3 years ago

Triangles QVS and RTS are similar. Find side VS

maxonik [38]

ΔQVS is similar to ΔRTS

<u>Solve x:</u>

$\dfrac{10}{6} = \dfrac{x}{8}$