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3 years ago

Which of the following lines is perpendicular to the line Y = 3x -4

Mathematics

1 answer:

andriy [413]3 years ago

6 0

Answer:

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be $\frac{1}{3}$ , and $\frac{5}{1}$ would be -5. The equation is written in slope-intercept form:

$y=mx+b$

m is the slope, so find the equation with the opposite reciprocal of 3, $-\frac{1}{3}$ :

$y=-\frac{1}{3} x+4$ is the only option with the correct slope, so the answer is D.

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One person is selected at random from a class of 20 males and 13 females. Find the odds against selecting a male and a female

spin [16.1K]

Answer:

Odds for male= 1.538

Odds for female = 0.65

Step-by-step explanation:

The question is asking for odds, not a probability. A probability shows how much the chance for the event to happen, so it can be expressed as a percentage. Odds show how the event more likely to happen compared to the chance it did not happen. If an event has a 90% probability, the odds will be 90:10= 9

In this case, the odds of selecting a male will be:

number of male : number of female= 20:13 = 1.538

The odds of selecting a female will be

number of female : number of male = 13/20 = 0.65

7 0

3 years ago

Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n?

Oxana [17]

Answer:

The answer is All integers where n ≥ 1

Hope this helps!

8 0

3 years ago

Convert 8 miles into feet and then into inches.

Orlov [11]

Answer:

5,280 * 8 = 42,240

42,240 feet

42,240 * 12 = 506,880

506,880 inches

Step-by-step explanation:

5 0

2 years ago

A van traveling at a speed of 32.0 mi/h needs a minimum of 42.0 ft to stop. If the same van is traveling 67.0 mi/h, determine it

makkiz [27]

Answer:

Δx= 184.12 ft

Step-by-step explanation:

The equation you need to use is velocity as a function of displacement.

$v^2= u^2 +2a(\delta x)$

v = the speed at which the car is travelling,

and

v_o is the original speed (in this case zero).

The change in x (displacement) is how far the car travels. You will be solving for a (acceleration).

$32^2= 0^2+ 2a\times42$

solving we get

a= 12.19

now put this acceleration value into the second case when v= 67mi/h

$67^2= 0^2 + 2\times12.19(change in x)$

⇒Δx= 184.12 ft

5 0

3 years ago

Consider the two functions shown here. Which function grows faster for large positive values of x?

fomenos

Where is the frationss

8 0

3 years ago

Read 2 more answers