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2 years ago

8

Write an equation that represents the line using exact numbers

1 answer:

quester [9]2 years ago

5 0

Answer:

y=(-4/3)x+2 = -1.33x+2

Step-by-step explanation:

we have two points (3,-2) and (0,2)

the equation of the lines is:

y=mx+b

m=slope

m=(y2-y1)/(x2-x1)

m=(2-(-2))/(0-3)

so we have the slope is

m=4/-3

m=-4/3 =-1.3333

we need to find "b"

using the point (0,2)

we have

2=m*0+b

2=b

finally we have

the answer is y=(-4/3)x+2

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A sequence of numbers is formed by the iterative process Xn+1 = (Xn )2 – Xn

xeze [42]

Step-by-step explanation:

X1 = 1

X2 = (X1) 2 - X1

X2 = 2 - 1

X2 = 1. implies that the second term of the sequence is 1.

3 0

2 years ago

What is the relationship between sin(90 degrees) and sin(-90 degrees)

Volgvan

Answer:

$sin(90\°)=-sin(-90\°)$

Step-by-step explanation:

we know that

$sin(90\°)=1$

$sin(-90\°)=-1$

therefore

$sin(90\°)=-sin(-90\°)$

4 0

2 years ago

A movie theater is located on a map of a city represented by a coordinate plane. The location of the movie theater is at (−4, 2)

Romashka [77]

See the graph

<h2>Explanation:</h2>

Remember to write complete questions in order to get good and exact answers. Here you haven't provided any option, but it's easy to plot this point on a coordinate system in order to know the location of the movie theater. We know that this theater is at the point:

$(-4,2)$

So let's plot this point in the cartesian plane:

The x-coordinate is -4
The y-coordinate is 2.

So the graph is shown below. Remember that the horizontal axis is called the x-axis while the vertical axis is called the y-axis.

x > 0 for the x-values to the right of the origin.

x < 0 for the x-values to the left of the origin.

y > 0 for the y-values above the origin

y < 0 for the y-values below the origin.

<h2>Learn more:</h2>

Cartesian coordinate system: brainly.com/question/2141683

#LearnWithBrainly

7 0

2 years ago

Which statements are true about the expression

bazaltina [42]

Answer:

Wheres the question?

6 0

2 years ago

At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, $P_0=15$

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

$P(x)=P_0(1+r)^x$

now, we can plug values

$P(x)=15(1+0.4142)^x$

$P(x)=15(1.4142)^x$

Average rate of change between 2 years and 4 years:

we can use formula

$A_1=\frac{P(4)-P(2)}{4-2}$

now, we can plug values

$A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}$

$A_1=14.99914$

Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

Average rate of change between 6 years and 8 years:

we can use formula

$A_3=\frac{P(8)-P(6)}{8-6}$

now, we can plug values

$A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}$

$A_3=59.99425$

now, we will check each options

option-A:

we can see that

$A_3-A_2=30$

$A_3-A_2=30$

So, this is FALSE

option-B:

$A_1=\frac{1}{2}A_2$

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

$A_1=\frac{1}{2}A_2$

so, this is FALSE

5 0

2 years ago