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Trava [24]
3 years ago
14

ASAP ANSWER PLEASE

Mathematics
1 answer:
Liula [17]3 years ago
5 0

Answer:

y = 2x -8

Step-by-step explanation:

The slope intercept form for a line is

y = mx+b where m is the slope and b is the y intercept

y = 2x -8

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Suppose that y varies directly with x and y=12 when x=-2. what is when x=-6?
dlinn [17]
Y=4

How?
When they say directly you should multiply the x and y together. You would get -24, now using that number divide -24 by the new x(-6) you would get 4.
4 0
3 years ago
Read 2 more answers
Aaron ate 5/6 of his sandwich at lunch. Colin ate 2/3 of his sandwich. did the two boys eat the same amount? Explain
Nady [450]
No. Aaron ate more because 5/6 is a larger fraction than 2/3.
7 0
3 years ago
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A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set
lara [203]

A circle with center (3,0) and radius 5 has equation

(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x  = 16

If we substitute y=2x+k in this equation, we have

x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0

The expression simplifies to

-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89

The solutions to the associated equation are

k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}

So, the parabola is negative between the two solutions:

-6-5\sqrt{5}

8 0
3 years ago
In order to conduct an experiment five subjects are randomly selected from a group of 48 subjects how many different groups of f
exis [7]

Answer:

1,712,304 ways

Step-by-step explanation:

This problem bothers on combination

Since we are to select 5 subjects from a pool of 48 subjects, the number of ways this can be done is expressed as;

48C5 = 48!/(48-5)!5!

48C5 = 48!/43!5!

48C5 = 48×47×46×45×44×43!/43!5!

48C5 = 48×47×46×45×44/5!

48C5 = 205,476,480/120

48C5 = 1,712,304

Hence this can be done in 1,712,304ways

3 0
3 years ago
Hellllllllllllllllllllllllllllllllppppppppppppppppppppp
Alex73 [517]

Answer:

It would b ' A B F and G' the total number of pencils would be 274

Step-by-step explanation:

4 0
2 years ago
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