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Lisa [10]
3 years ago
13

Find the distance between (21, 5) & (28, -1).

Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0

Answer:

\sqrt{85}

Step-by-step explanation:

we have the equation of distance between two points :

d=\sqrt{(x2-x1)^2+(y2-y1)^2}

first point (21,5)

second point (28,-1)

so we have

d=\sqrt{(28-21)^2+(-1-5)^2}

d=\sqrt{(7)^2+(-6)^2}

d=\sqrt{49+36}

d=\sqrt{85}

so we have

d=\sqrt{85}

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Find the value of k such that lim-->4 (x^2+x-k)/(x-4) exists
7nadin3 [17]

Answer:

k=20

Step-by-step explanation:

when x approaches 4, the denominator x-4 approaches 0

if the denominator is 0, it means that this is invalid

if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit

so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4

so x^2 + x - k = 0 when x = 4

4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20

6 0
3 years ago
Jake wants to buy a skateboard. The one he is looking at cost $295. It is on sale for 35% off. How much will Jake save if he buy
Aleks [24]

Answer:

191.5

Step-by-step 103.5 explanation:

295 x 0.35(which is 35%) = 103.5

295 - 103.5 = 191.5

hope this helps

3 0
3 years ago
Read 2 more answers
Draw Conclusions The decimal 0.3 represents 1. What type of number best describes 0.9, which is 3 0.3? Explain.
liraira [26]
If 0.3 = 1 then 0.9 = 3 because 0.3+0.3+0.3=the 3.
7 0
3 years ago
What is the domain of the function shown in the
Taya2010 [7]

Answer:

{x | x = -5, -3, 1, 2, 6}

Step-by-step explanation:

In a function, the domain values are all the possible values of input in a function. In order words, they are the x-values in a function, which are also referred to as independent variable.

In the mapping of the function above, all input values make up the domain of the function.

Thus, the domain is:

{x | x = -5, -3, 1, 2, 6}

4 0
3 years ago
When h has the value 4, calculate 16-3h
azamat

h=4

calculate 16-3h

16-(3*4 )

16-12 =4

I hope that's help !

3 0
3 years ago
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