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1 year ago

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Mathematics

1 answer:

SCORPION-xisa [38]1 year ago

4 0

Answer:

I showed the answers in the pic above ^

Step-by-step explanation:

I hope this helps you!

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What is the slope of each side of the triangle? the sides are A(-2,4) B(-1,1) C(2,3)

Rashid [163]

Answer:

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

Step-by-step explanation:

The slope is denoted by m and is calculated using the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

The given vertices are:

A(-2,4) B(-1,1) C(2,3)

The sides will be:

AB, BC, AC

Let m1 be the slope of AB

Let m2 be the slope of BC

Let m3 be the slope of AC

Now

$Slope\ of\ AB = m_1 = \frac{1-4}{-1+2} = \frac{-3}{1} = -3\\Slope\ of\ BC = m_2 = \frac{3-1}{2+1} = \frac{2}{3}\\Slope\ of\ AC = m_2 = \frac{3-4}{2+2} = \frac{-1}{4} = -\frac{1}{4}$

Hence,

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

6 0

2 years ago

A cell phone company charges $20 for a customer to open a new account and $35for each month of phone service.

JulsSmile [24]

Y=20+35x because the 20 is a 1 time thing and 35x because 35 is charged each month

5 0

1 year ago

PLEASE HELP ASAP <333<br><br> What is the sum of the geometric series ?

ankoles [38]

Answer:

Step-by-step explanation:

There are a couple of ways to do this. You could figure all four terms out and add them, which is likely the simplest way.

One: 6^(1 - 1) = 6^0 = 1

Two: 6^(2 - 1) = 6^1 = 6

Three: 6^(3 - 1) = 6^2 = 36

Four: 6^(4 - 1) = 6^3 = 216

Sum = 259

7 0

3 years ago

The population of bacteria can be modeled by the function below, where t represents the time since the population started decayi

Oksana_A [137]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. I will assume the function is:

$f(t) = 15(0.86)^t$

Required

Determine the rate of decay

In an exponential function $f(x) = ab^x$ ,

The decay rate of the function is calculated as:

$1 - r = b$

By comparison:

$b = 0.86$

So, the equation becomes:

$1 - r = 0.86$

Make r the subject

$r = 1 - 0.86$

$r = 0.14$

<em>The rate of decay is 0.14</em>

3 0

2 years ago

If 18 percent of the beads in a bag are green, 25 percent are red and 40 percent are purple. What is the probablity of choosing

sweet [91]

Answer:

$P(G\ then\ R)=0.045$

Step-by-step explanation:

From the question we are told that:

Percentage of Green beads $P_g=18$

Percentage of Red beads $P_r=18$

Percentage of Purple beads $P_p=18$

Therefore

Probability of choosing a Green bead is

$P(G)=0.18$

Probability of choosing a Red bead is

$P(R)=0.25$

Generally the equation for choosing a green bead then a red bead is mathematically given by

Since Outcomes are independent

$P(G\ then\ R)=0.18*0.25$

$P(G\ then\ R)=0.045$

7 0

2 years ago