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ale4655 [162]
3 years ago
9

The straight line 3y = 5x + h - 6 intersect the x-axis at 4k, where h and k are constants. explain h in terms of k

Mathematics
1 answer:
inn [45]3 years ago
3 0

When a function intersects with the x-axis, it's y value must be 0. That means when the straight line intersects with the axis, it's at the point (4k,0), so plugging those numbers into our original equation yields:

0=20k+h-6 \implies\\ 6=20k+h \implies \\ 6-20k=h

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Find the probability of drawing a green card, not replacing it, and then drawing another green card.
IRISSAK [1]

Answer:

1/15

Step-by-step explanation:

This is probably too late but I'll do it anyway.

There are 10 cards in all.

of the 10, 3 are green.

So your chance of drawing the first green is 3/10

Now you have 9 cards in total left.

Two of them are green

Your chance of drawing a green card again is 2/9

Your total chance of drawing 2 green cards is

2/9 * 3/10 = 6/90

2/9 * 3/10 = 1/15

7 0
2 years ago
An acute triangle has side lengths 21 cm, x cm, and 2x cm. if 21 is one of the shorter sides of the triangle, what is the greate
madam [21]

Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm

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For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm

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8 0
3 years ago
Read 2 more answers
What is the quotation -3/8 divided by -1/4
Bumek [7]

Answer:

3/2

Step-by-step explanation:

5 0
2 years ago
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At Best Burgers, Jack collected sales data on the type of side order served with each type of burger purchased for a week. Jack
horsena [70]

The <em><u>correct answers</u></em> are:

60 pounds of onion rings and 60 hamburgers.

Explanation:

Jack serves a half pound of onion rings with every burger.  He serves 120 bacon cheeseburgers.  To find the number of pounds of onion rings, we multiply 1/2 pound by 120 burgers:

1/2(120) = 1/2(120/1) = (1*120)/(2*1) = 120/2 = 60 pounds of onion rings.

There were 8 hamburgers served out of the first 40 orders.  If this rate continues, then to find the number of hamburgers out of 300 orders, we multiply 8/40 by 300:

8/40(300) = 8/40(300/1) = (8*300)/(40*1) = 2400/40 = 60

There would be 60 hamburgers.

4 0
3 years ago
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Isolate the variable on the following problem. show your work.<br><br>-2=-4+x​
blsea [12.9K]

Answer:

x=2

Step-by-step explanation:

Add 4 to both sides:

-2=-4+x​

-2+4=-4+4+x​

2=x

5 0
2 years ago
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