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3 years ago

Solve using factoring

Mathematics

1 answer:

jolli1 [7]3 years ago

7 0

The equation is balanced by the 3's on both sides so that cancels out. we are left with:
x^2-6x=0
we take out an x, leaving us with:
x(x-6)=0
we know that to find the solution [ or "zero's", ] we must set "x"=0, and "x-6"=0.
the solutions are: x=0 and 6.
hope that helped, xx

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What is the equation of the line that passes through the point (-3,-8) and has a slope of 4?

coldgirl [10]

Step-by-step explanation:

the easiest approach with a given point and the slope of the line is the point-slope form :

y - y1 = a(x - x1)

where "a" is the slope, and (x1, y1) is a point on the line.

so, we get

y - -8 = 4(x - -3)

y + 8 = 4(x + 3)

if we need the slope-intercept form

y = ax + b

we now simplify the point-slope form

y + 8 = 4x + 4×3 = 4x + 12

y = 4x + 4

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3 years ago

Persons A and B are at the beach, their eyes are 5 ft and 6 ft, respectively, above sea level. How many miles farther out is Per

Marysya12 [62]

Answer:

The radius of the earth is something like 4000 miles= about 20,000,000 feet. (Look up the exact radius of the earth to calculate the correct number yourself, I'm too lazy!)

The horizon is where you're looking at a tangent to the earth's surface. Since the tangent to a circle is perpendicular to the radius (if we assume the earth is a perfect sphere), we can set up a right angled triangle:

H...P

Where C is the centre of the earth, H is the horizon, and P is the person. CH = 20,000,000 feet. CP = 20,000,005 feet (in the case of the 5' person, that'd be me :) And there is a right angle at H.

So using Pythagoras' theorem, if d = PH, then:

d^2 = 20,000,005^2 - 20,000,000^2

=> d^2 = 200,000,025

=> d = 14142 feet (just under 3 miles)

For a 6' person:

d^2 = 20,000,006^2 - 20,000,000^2

=> d^2 = 240,000,036

=> d = 15491 feet

So the difference is 1349 feet or 0.256 miles

Repeat this exercise with the real radius of the earth (in feet) to get the correct answer, but it'll be pretty close to what I've given here

4 0

3 years ago

−2.5+(−7.4)−(−1.2)−(+3.9)+(+0.6)

Alex73 [517]

Answer:

-12

Step-by-step explanation:

−2.5+(−7.4)−(−1.2)−(+3.9)+(+0.6)

Subtracting a negative is adding

−2.5+(−7.4)+(1.2)−(+3.9)+(+0.6)

Combine like terms

-9.9 +(1.2)−(+3.9)+(+0.6)

-8.7-3.9+.6

-12.6+.6

-12

7 0

3 years ago

Read 2 more answers

Need help on this problem

soldier1979 [14.2K]

Hey there!

Let's look at our graph here. It is a 4 x 8 chart, which means there are 32 total squares. 12 of these squares are highlighted in black. This gives us 12/32, which is equal to 3/8. Therefore, we can eliminate answer D as an option.

Now, we are looking for a percent of a fraction. Usually when you draw a chart that represents multiplying fractions, the bars will overlap. We do see 5 gray squares, but if that is all, this chart would not really represent anything. Let's say it goes all the way across the top, giving us 8 gray squares, 3 of them also being black.

This means we have 8/32, or 1/4 as our other fraction. As we said before, 3 of these squares are both black and gray. This is 3/32, so the answer to our problem has to be 1/12.

We have fractions 3/8 and 1/4.

$\frac{3}{8}(\frac{1}{4})=\frac{3}{32}= \frac{1}{12}$

Therefore, our answer is H.

I hope this helps!

3 0

4 years ago

Britney already owns 65 necklaces, and additional necklaces are priced at 2 for a dollar. How much money does Britney need to sp

const2013 [10]

Answer:

I think the answer is 136

6 0

3 years ago

Read 2 more answers