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Mariana [72]
3 years ago
10

WILL MARK BRAINLIEST!!

Mathematics
1 answer:
NikAS [45]3 years ago
6 0

Answer:

3.58

Step-by-step explanation:

Given :

y = 2x + 4 -------- eq1

y = 2x - 4 -------- eq2

sanity check : both equations have same slope, so we can conclude that they are both parallel to one another.

Step 1: consider equation 1, pick any random x-value and find they corresponding y-value. we pick x = -2

This gives us y = 2(-2) + 4 = 0

Hence we get a point (x,y) = (-2,0)

Step 2: express equation 2 in general form (i.e Ax + By + C = 0)

y = 2x-4 -------rearrange---> 2x - y -4 = 0

Comparing with the general form, we get A = 2, B = -1, C = -4

Recall that the distance between 2 parallel lines is given by the attached formula (see attached picture).

substituting the values for A, B, C and (x, y) from the previous step:

d = | (2)(-2) + (-1)(0) + (-4) |  / √(2² + (-1)²)

d = | -4 + 0 - 4 |  / √(4 + 1)

d = | -8 |  / √5

d = 8  / √5

d = 3.5777

d = 3.58 (rounded 2 dec. pl)

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Which fractions are greater than -5/16 ?
AlladinOne [14]
-5/16 

Our choices:-

A.-3/8
 
 
 B.-11/12
 
 
 C.-1/4
 
 
<span> D.-1/8
</span>
Let us get all of them with a LCD

-1*2 = -2
8*2 = 16

-2/16 is not bigger than -5/16

-11/12 is bigger than -5/16 because half of 16 is 8.

-1*4 = -4
4*4= 16

-4/16 is not bigger than -5/16

-1/8 is smaller than -5/16

Final answer: -11/12 is the only fraction bigger than -5/16

3 0
3 years ago
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denpristay [2]
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(Note that the units cancel out so you get the answer)

Final answer: 15 inches~
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3 years ago
Please help me solving this problem.
Illusion [34]

(a) The radius of the circle is the distance the wave travels since it first formed, so if <em>g(t)</em> is the radius of the circle at time <em>t</em>, then it changes at a rate according to

d<em>g</em>/d<em>t</em> = 60 cm/s

Integrate both sides with respect to <em>t</em> to solve for <em>g</em> :

∫ d<em>g</em>/d<em>t</em> d<em>t</em> = ∫ (60 cm/s) d<em>t</em>

<em>g(t)</em> = (60 cm/s) <em>t</em> + <em>C</em>

but <em>C</em> = 0 since the radius at <em>t</em> = 0 must be 0.

<em>g(t)</em> = (60 cm/s) <em>t</em>

<em />

(b) The area of any circle with radius <em>r</em> is <em>πr</em> ². So

<em>f(r)</em> = <em>πr</em> ²

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2 years ago
What is the length of side x in the triangle below?
antiseptic1488 [7]
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5 0
3 years ago
The National Safety Council publishes information about automobile accidents in Accident Facts. According to that document, the
vladimir1956 [14]

Answer:

P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that p = 0.4

Eight traffic fatalities

This means that n = 8

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}

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