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3 years ago

9

Find the distance between (-2, -1) and (4, 7)

1 answer:

Lyrx [107]3 years ago

4 0

Answer: 10 units

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A tool set is on sale for $424.15. The original price was $599.00. What percent of the original price is the sale price? Round y

gregori [183]

If you the percent of change it will be 41%

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2 years ago

It has been determined that the number of fish f(t) that can be caught in t minutes in a certain pond using a certain bait is f(

Rudik [331]

It has been determined that the number of fish f(t) that can be caught in t minutes in a certain pond using a certain bait is f(t) = .25t + 1, for t > 10. Find the number of fish that can be caught if you fish for 15 minutes. Round your answer to the nearest whole number.

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3 years ago

What would the value of X be on this one?

Tanzania [10]

Answer:

i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51

Step-by-step explanation:

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2 years ago

Factor out the Gcf 45p - 35 + 45p^2

Andrei [34K]

Answer:

The answer is 5(9p²+9p-7)

Step-by-step explanation:

hope that helps

6 0

2 years ago

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