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QveST [7]
3 years ago
10

Which of the following points lies on the line perpendicular to

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Answer:

Step-by-step explanation:

recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.

also recall that the formula to find the slope of a line is m=y2-y1/x2-x1

to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.

lets do the math now:

option a)

m=y2-y1/x2-x1

m=12-4/6-0

m=8/6

m=4/3

this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1

option b)

m=y2-y1/x2-x1

m=0-4/6-0

m=-4/6

m= -2/3

this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1

--------------

ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.

toodles! :)

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6 0
2 years ago
What is the answer of 3[4(2³)-5²+7(8+4²)-16]?
Montano1993 [528]

<span>3[4(23)-52+7(8+42)-16]</span>

<span>3 x (4 x 8 - 52 + 7 x (8 + 42) - 16)</span>

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477


8 0
3 years ago
If f(x) = 2х2 +1 and g(x) = х2 -7, find (f-g)(x).
Nookie1986 [14]

Option A

If  f(x) = 2x^2 + 1 and g(x) = x^2 - 7 then (f - g)(x) = x^2 + 8

<em><u>Solution:</u></em>

Given that f(x) = 2x^2 + 1 and g(x) = x^2 - 7

To find: (f - g)(x)

We know that,

(f – g)(x) = f (x) - g(x)

Let us substitute the given values of f(x) and g(x) in above formula,

(f - g)(x) = 2x^2 + 1 - (x^2 - 7)

For solving the brackets in above expression,

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

So the expression becomes,

(f - g)(x) = 2x^2 + 1 -x^2 + 7

Combining the like terms,

(f - g)(x) = 2x^2 - x^2 + 1 + 7\\\\(f - g)(x) = x^2 + 8

Thus option A is correct

8 0
3 years ago
Which of the following statements is true about the function presented in the table?
Lynna [10]

Answer:

C. The slope of the function is -2 and the y-intercept is 4.

Explanation:

The y-intercept is the point when x = 0. On the table when x is 0, y is 4.

The slope of the function is -2 because the y value is going down by 2 for each +1 of x.

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  ↓ +1   ↓ -2

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  ↓ +1   ↓ -2

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5 0
3 years ago
(тоот
Viefleur [7K]

ill help but where is the clock?

7 0
3 years ago
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