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3 years ago

These two lines are parallel. Write an equation for each. Either upload a picture or type in the answer box.

Mathematics

2 answers:

yaroslaw [1]3 years ago

7 0

Answer:

(top line) y=4/5x + 0, (bottom line) y=4/5-0.32

Step-by-step explanation:

so take the equation y=mx+b

b is the y intercept, which is where the line crosses (0,b)

the m is the slope, which is rise/run.

If the lines are parallel, the slopes are the same, just different y intercept

scoray [572]3 years ago

7 0

Step-by-step explanation:

the usual equation for a line is

y = ax + b

a is the slope. it is always the factor of x and is expressed as ratio y/x. this indicates how many units y changes, when x changes a certain amount of units when moving from one point to another.

(0, -3.2) is one point. and (4, 0) is another.

x changes by +4 (from 0 to 4).

y changes by +3.2 (from -3.2 to 0)

the slope is therefore

3.2/4 = 32/10 / 4 = 32/40 = 4/5

b is the y-intercept. that is the point, where the line crosses the y-axis (the y value when x = 0).

the given point specifies this already.

so, the line equation of the lower line is

y = (4/5)x - 3.2 or (4/5)x - 32/10 or (4/5)x - 16/5

the upper line is parallel, so the slope is the same.

and what is b, the y-intercept ? we see that the line goes directly through the origin (0, 0). so, b = 0.

the line equation of the upper line is

y = (4/5)x

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3 years ago

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3 years ago

Graph the system of linear inequalities, please explain the process in solving this problem so I know how to do ones similar to

Ierofanga [76]

Graph the system of linear inequalities

x + y > 5

- x - y < -5

First we graph x + y >5

Step 1: replace > symbol by = sign

x + y =5

step 2 : Solve the equation for y

x + y =5 (subtract x from both sides)

y = 5 - x

step 3: Now we make a table . plug in some number for x and find out y

x -----> y

-1 -----> 6 ( y=5-x => y=5-(-1)= 6)

0 -----> 5 ( y=5-x => y=5-(0)= 5)

1 -----> 4 ( y=5-x => y=5-(1)= 4)

Step 4: we graph the table.

step 5: Shade the region that satisfies our inequality

x + y > 5. Greater than symbol implies that we shade the graph to the right

Graphing second inequality - x - y < -5

All terms have negative sign . so divide all the terms by -1. When we divide an inequality by -1 its sign changes

- x - y < -5 becomes x + y > 5

Follow the same steps to graph this inequality

After dividing the second equation by -1 , we got the same as the first equation.

So we will get the same graph

Both graphs overlaps

The graph of first and second inequality overlaps

The graph is attached below

4 0

3 years ago

The weight of a bull clad is 388 kilograms. If it’s weight increases at a rate of 1 2/5 kilograms per day how long it will take

Alex73 [517]

Answer:

It will take 80 days for the bull calf to reach a weight of 500 kilograms.

Step-by-step explanation:

Given:

The weight of a bull calf is 388 kilograms.

Now, to find the weight of bull calf of how long it will take to reach a weight of 500 kilograms, if it’s weight increases at a rate of 1 2/5 kilograms per day.

Required weight which to be increased = 500 - 388 = 112 kilograms.

Rate of weight increase = $1\frac{2}{5}=\frac{7}{5}$

= $1.4\ kilograms.$

Thus, the time required = $\frac{required\ weight}{rate\ of\ weight}$

= $\frac{112}{1.4}$

= $80.$

The time required = 80 days.

Therefore, it will take 80 days for the bull calf to reach a weight of 500 kilograms.

5 0

3 years ago

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule t

MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

8 0

3 years ago