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fiasKO [112]
3 years ago
13

Line w is perpendicular to the line y = −x − 5 and passes through the point (−2, 4). What is the y-intercept of line w?

Mathematics
1 answer:
Aleksandr [31]3 years ago
7 0

The slope of a line perpendicular to another is the negative reciprocal of the original.  The negative reciprocal of -1 is 1.  The equation will read:

y=x+b

To solve for the y-intercept (b), plug in the given values of x and y:

4=-2+b

<em>*Add 2 to both sides*</em>

D. 6


Hope this helps!!

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Answer:

That is not a function :)

Step-by-step explanation:

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Here's an attachment that might help

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Pls help asap the best I can do is 50 points
lutik1710 [3]

Step-by-step explanation:

8.a.

a function is something that looks like

y = ax + b or similar.

it describes the way to calculate the result for whatever input value you can come up with.

so,

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you could also say

C(d) = 12×d + 8

as, when you rent, you have to pay these $8 in any case, no matter how long you stay, and you need to pay $12 per day you stay.

funny thing is : you understood this perfectly well when doing b.

c.

the constant rate of change is always the factor of the input variable. here : 12

it is the ratio of (y change) / (x change)

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it indicates that for any increase of d by 1 (staying one day longer) the charges C increase by 12.

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remember, what we just said about the rate of change ?

it is (result change) / (input change).

between 2010 and 2015

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the function is therefore

population in millions = (years since 2010)×5/4 + 37

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b.

now we want to find the number of years (y) so that the result of that equation is 50.

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y = 52/5 = 10.4

so, this will be during the 11th year after 2010 = 2021.

10.

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you see that the sequence goes up 20, when n goes up 5 (and not just 1) ? there was your initial mistake.

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again, remember the change rate : it is result change / input change.

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c.

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d.

the x-axis is for the number of visits, the y-axis for the costs.

so, the line starts at the point (0, 50), and then passes through the points of the original table (5, 70), (10, 90), (15, 110). and if you want you can calculate the points for higher x (or number of visits).

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