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2 years ago

What is the slope if you have (1,1) and (-3,-2)?

Mathematics

2 answers:

natita [175]2 years ago

8 0

The slope of (1,1) and (-3,-2) is 3/4

Serga [27]2 years ago

3 0

Given two points (X1,Y1) and (X2,Y2) on a line, the slope =(Y2 - Y1) /(X2 - X1).

You are given the points (1,3) and (3,-2). Implying X1 =1 , Y1 =3, X2=3, Y2=-2

Use the formula for the slope above to answer the question. If you still have problems getting the correct answer, ask for more help.

Your answer should be a negative fraction or decimal if you are using a calculator.

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Country A has a growth rate of 3.4% per year. The population is currently 4,118,000, and the land area of Country A is 29,000

Eduardwww [97]

Answer:

time period is 260.57 years

Step-by-step explanation:

given data

growth rate = 3.4 % = 0.034

population = 4118000

area P = 29000000000 square yard

to find out

time period that one person for every square yard of land need

solution

we will apply here population growth formula that is

total population P = initial population × $e^{rt}$ ..............1

here r is rate of growth and t is time period and

we consider here initial population is current population

so put value in equation 1 to get t

29000000000 = 4118000 × $e^{0.034t}$

take ln both side

ln 7042.25 = ln $e^{0.034t}$

8.8596 = 0.034 t

t = 260.57

so time period is 260.57 years

7 0

3 years ago

Given: 4x=12x+32 prove: =-4

myrzilka [38]

Answer:

See explanation

Step-by-step explanation:

4x = 12x + 32

Subtract 12x from both sides

-8x = 32

Divide each side by -8.

x = -4

6 0

2 years ago

Read 2 more answers

What is the simplified form of 12x/900x²y4z6?

zalisa [80]

Answer:

$360xy^2|xz^3|$

Step-by-step explanation:

Given expression:

$12x \sqrt{900x^2y^4z^6}$

$\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:$

$\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

Replace 900 with 30² :

$\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

$\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:$

$\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}$

$\implies 360x|x|\sqrt{y^4}\sqrt{z^6}$

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

$\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:$

$\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}$

Simplify:

$\implies 360xy^2|xz^3|$

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0

2 years ago

Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 4 - (x - 6)2 (5 points)

leva [86]

Answer:

g(x) is always decreasing

Step-by-step explanation:

Step 1: Distribute

g(x) = 4 - (2x - 12)

g(x) = 4 - 2x + 12

Step 2: Combine like terms

g(x) = -2x + 16

Since the line is linear and has a negative slope, it will always decrease when you input either a positive or negative x value. The output <em>y </em>will go lower.

4 0

3 years ago

Amber has 36 smarties to share among herself and 3 friends. How many smarties will each of them Receive?

ki77a [65]

There are 4 people in total
(including herself)
so 36 smarties should be evenly distributed among 4 people

so answer = 36/4 = 9

7 0

2 years ago