Find the point of intersection of the pair of straight lines Y= -7x - 4 -y = 8x + 9

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

4 0

Answer:

(-5,31)

Step-by-step explanation:

See image.

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If x-5(x-7)=-7 then x equals what?

NeX [460]

Expand

simplify x - 5x + 35 to -4x + 35

subtract 35 from both sides

simplify -7 - 35 to -42

divide both sides by -4

two negatives make a positive

simplify 42/4 to 21/2

Answer: x = 21/2.

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2 years ago

Help please! I will mark Brainiest!!

aleksklad [387]

Answer:

It is equal to each other

Step-by-step explanation:

$\sqrt{\frac{1}{x^2}} = \frac{1}{x}\\\sqrt[3]{\frac{1}{x^3}} = \frac{1}{x}$

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2 years ago

Subtract and reduce: 2 2/3 - 1 1/2

babunello [35]

Step-by-step explanation:

I used a calculator but the answer is 1 1/6

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2 years ago

Imagine a pond. In it sits one lilypad, which reproduces once a day. Each of its offspring also reproduces once a day, doubling

sergeinik [125]

Answer: On the 29th day

Step-by-step explanation:

According to this problem, no lilypad dies and the lilypads always reproduce, so we can apply the following reasoning.

On the first day there is only 1 lilypad in the pond. On the second day, the lilypad from the first reproduces, so there are 2 lilypads. On day 3, the 2 lilypads from the second day reproduce, so there are 2×2=4 lilypads. Similarly, on day 4 there are 8 lilypads. Following this pattern, on day 30 there are 2×N lilypads, where N is the number of lilypads on day 29.

The pond is full on the 30th day, when there are 2×N lilypads, so it is half-full when it has N lilypads, that is, on the 29th day. Actually, there are $2^{30}$ lilypads on the 30th, and $2^{29}$ lilypads on the 29th. This can be deduced multiplying succesively by 2.