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lesya [120]
3 years ago
6

Find the possible values for k for which the line y = (1/2)x + k is tangent to x^2 + y^2 = 8k.

Mathematics
1 answer:
denpristay [2]3 years ago
3 0

8k because 8k had only simbol of k

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3. Find the point of intersection of the graphs for each system. a) x - y = 1 and 3x - y = -1​
natima [27]

Answer:

the point of intersection is (-1 , -2)

Step-by-step explanation:

\begin{cases}x-y=1&(1)\\ 3x-y=-1&(2)\end{cases}

(2) - (1) ⇒ (3x - y) - (x - y) = (-1) - 1

⇒ 3x - y - x + y = -2

⇒ 3x - x  = -2

⇒ 2x  = -2

⇒ x  = -1

……………………………

Now ,we can determine the value of y

by substituting x by its value -1 in the first equation (1) :

(1) x - y = 1 ⇒-1 - y = 1 ⇒ -y = 2 ⇒ y = -2

========================

Conclusion:

x = -1

y = -2

Then ,the point of intersection of the graphs is (-1 , -2)

5 0
2 years ago
Read 2 more answers
Pls help me 10 points
allsm [11]
Answer : y


Explanation: hope this helps
5 0
3 years ago
Read 2 more answers
1. Lupita purchased a new ball gown to wear to the prom. The expression 0.06g represents the sales tax on the gown price, g. Wri
melamori03 [73]
The expression for the total amount that Lupita paid for the gown would be 1.06g.

The amount of the tax is 0.06g and the cost of the g is just 1g. If we add the two expressions together will will get the total amount paid.

0.06g + 1g = 1.06g
6 0
4 years ago
Statistics help please!
Anastasy [175]
The answer would be $9
7 0
4 years ago
CDs costs $4 each and DVD cost $8 each.
Licemer1 [7]

Answer:

0 and 4

1 and 3

2 and 2

3 and 1

4 and 0

Step-by-step explanation:

If you need 4 gifts and you want to spend less than $40, then you could buy

1 cd+ 3 dvds for $25

2 cds + 2 dvds for $24

3 cds + 1 dvd for $20

4 cds and 0 dvds for $16

0 cds and 4dvds for $32

Any of these solutions will work

8 0
3 years ago
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