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3 years ago

Help me please I don’t understand how to find the parallel or perpendicular

Mathematics

1 answer:

andreev551 [17]2 years ago

5 0

Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept

So remember that parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals to each other. But first, we have to find out the slope of the original equation. The easiest method to find the slope is to convert this standard form equation to slope-intercept form.

Firstly, subtract 6x on both sides of the equation: $-4y=-6x-3$

Next, divide both sides by -4 and your slope-intercept form is $y=\frac{3}{2}x+\frac{3}{4}$

Now, looking at our slope-intercept form we see that the slope of the original equation is 3/2. Using what we know about parallel and perpendicular lines, the slope of a parallel line is 3/2 and the slope of a perpendicular line is -2/3

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A region with a 5-mile radius has a population density of about 3100 people per square mile. Find the number of people who live

Gwar [14]

Answer:

243,000 people

Step-by-step explanation:

First, what we need to do is to calculate the area of the region using the 5-mile radius

Mathematically, we can calculate this as the area of a circle

Area = pi * r^2

Our r here is 5 miles

Area = pi * 5^2 = pi * 25 = 78.54 square miles

Now to get the population, we know that per square mile we have 3,100.

Hence per 78.54 square mile, we have 78.54 * 3100 = 243,273 people

To the nearest thousand, 243,000

4 0

3 years ago

I rlly rlly need the answer ASAP

Natalija [7]

Answer:

your answer is c

Step-by-step explanation:

In the fraction Jonah made split his table into 10 parts to show 3/5 and to get the 10 parts he multiplied 5 by 2 to get 10 and you have to do the same to the 3 so 3 multiplied by 2 is 6

3 0

3 years ago

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 and standard deviation of 22

marin [14]

Answer: 4.27% of adults in the USA have stage 2 high blood pressure.

Step-by-step explanation:

Let x be a random variable that denotes a person with high blood pressure .

Given: Average blood pressure: $\mu=122$

Standard deviation: $\sigma=22$

Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.

The probability that an adult in the USA have stage 2 high blood pressure:

$P(x\geq160)=P(\dfrac{x-\mu}{\sigma}}\geq\dfrac{160-122}{22})\\\\=P(z\geq1.72)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z$

Hence, 4.27% of adults in the USA have stage 2 high blood pressure.

6 0

2 years ago

Square root:27 + SR:48+SQ:12 = ???

Anika [276]

Sqrt(27)+sqrt(48)+sqrt(12)
Sqrt(27)=sqrt(3*3*3)=3*sqrt(3)
Sqrt(48)=sqrt(4*4*3)=4*sqrt(3)
Sqrt(12)=sqrt(2*2*3)=2*sqrt(3)
Add the three to get 9*sqrt(3)
Final answer:
9*sqrt(3)
Hope I helped :)

5 0

3 years ago

Read 2 more answers

A coin will be tossed twice, and each toss will be recorded as heads (H) or tails (T).

Marta_Voda [28]

Sample space for all possible outcomes:

HH, HT, TH, TT

Sample space for event where heads is the first toss:

HT, HH

5 0

2 years ago