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2 years ago

What's the distance between (0,2) and (0,8)?

Mathematics

1 answer:

N76 [4]2 years ago

7 0

Answer:

6 units

Step-by-step explanation:

The distance between two points can be calculated with the formula

$\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}$

However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.

Distance between (0, 2) and (0, 8)

= 8 -2

= 6 units

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Parallel to y=−3/4x, through (4, -1)

kolbaska11 [484]

Answer:

$y=-\frac{3}{4}x+2$

Step-by-step explanation:

The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.

Slope of given line= $-\frac{3}{4}$

Parallel lines have the same slope. Thus, the slope of the line would also be $-\frac{3}{4}$ .

$y=-\frac{3}{4}x +c$

The value of c can be found by substituting a pair of coordinates.

When x= 4, y= -1,

$-1=-\frac{3}{4} (4)+c$

-1= -3 +c

<em>Add 3 to both sides:</em>

c= -1 +3

c= 2

Thus, the equation of the line is $\bf{y=-\frac{3}{4}x+2$ .

Additional:

Do check out the following for a similar question on slope-intercept form!

brainly.com/question/25549430

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1 year ago

What is the total surface area of the rectangular prism shown in the figure?

professor190 [17]

Answer: Yes, It is 315, I'm 100% honest!

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2 years ago

Read 2 more answers

Please help with solving the blank answers

KATRIN_1 [288]

Distribute The 4 In Problem Number 2. (4*2.5X)+(4*1.25) = 77
Simplify. 10X+5 = 77. Now, Subtract 5 From Both Sides.
10X = 77-5
10X = 72.
Now, Divide.
X = 72/10.
X = 7.2.
For 13, We Have This:
3/5p+2/3 = 8.
Now, Subtract 2/3.
3/5p = 7 1/3
Now, Divide.
7 1/3 Needs To Be Converted To An Improper Fraction.
It Becomes 22/3.
22 5 110
--- * --- = ----
3 3 9
Now, Make Into A Proper Fraction.
It Becomes 12 And 2/9.

6 0

2 years ago

Factor the expression.

valentinak56 [21]

It is (d+5)(d+5) because 5•5 is 25 and 5+5 is 10

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3 years ago

32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a

Tems11 [23]

Answer:

a) $P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

b) $P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

c) $P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.32)$