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marishachu [46]
3 years ago
15

Solve x² + 6x + 1 = 0

Mathematics
1 answer:
Veronika [31]3 years ago
7 0

Step-by-step explanation:

( x + 3 + 2 radical 2) (x +3 - 2 radical 2)

so x = - 3+2 radical 2 or x= - 3 +2 radical 2

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Evaluating integral by net area
N76 [4]

The graph of f(x)=2 is a horizontal line. So the area under f(x) on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.

The graph of g(x)=\sqrt{64-x^2} is the upper half of a circle with radius \sqrt{64}=8. It's symmetric about x=0, so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is \frac{\pi 8^2}4=16\pi.

Then use the fact that the definite integral is distributive over sums, meaning

\displaystyle\int_0^8f(x)+g(x)\,\mathrm dx=\int_0^8f(x)\,\mathrm dx+\int_0^8g(x)\,\mathrm dx=16+16\pi

8 0
3 years ago
Plzzzzzzz help this is tonight plzzzzzzz
anzhelika [568]

Answer:

Step-by-step explanation:

tto blurrry

8 0
3 years ago
two trains leave the station at the same time, one heading west and the other east. the westbound train travels at 95 miles per
Alinara [238K]
Remark
They are travelling in opposite directions. Their distances will be added until that distance = 462 miles.

You need only add the r*t values together. You do not need to find the distance.

Givens 
d = 462 miles
r1 = 115 mph
r2 = 95 mph
t = the time each was traveling.

Formula
r1 * t   +  r2*t = d

Substitute and solve
95 * t   +   115 * t = 462   Add the like terms on the left.
210 * t  = 462    Divide by 210
t = 462 / 210
t = 2.2 hours.

t = 2 1/5 hours

t = 2 hours  and 12 minutes 
All three answers are the same.

4 0
3 years ago
The low temperature in Chicago was -3 °F. The low temperature in Milwaukee was -11 °F. Which statement is true?
SOVA2 [1]

Answer:

-11 is greater than -3, so it was colder in Milwaukee.

Step-by-step explanation:

-11 is greater than -3, so it was colder in Milwaukee. because -11 is less than -3 because it is more to the left which makes it less

5 0
3 years ago
Jason bought 2/5 pounds of jellybeans for $5.00. How much would a whole pound of jellybeans cost?
aliina [53]
300 jelly beans cost you x dollars.
if you divide 300 by x, you get the number of jelly beans per dollar.
now you are buying 1/2 a dollar's worth of jelly beans, so you will be getting 1/2 * 300 / x which is equal to 150 / x jelly beans.
the actual number of jelly beans you get is determined by x.
if x = 1, the you get 150 jelly beans for 1/2 of a dollar.
if x = 3, then you get 50 jelly beans for 1/2 of a dollar.

you can also work this out by determing the cost per jelly bean.
if you pay x dollars for 300 jelly beans, then the cost per jelly bean is equal to x/300.
now you want to buy 50 cents worth of jelly beans.
the number of jelly beans you can buy is the money you pay divided by the cost per jelly bean.
you pay 50 cents which is equal to 1/2 of a dollar.
you will get 1/2 / (x/300) which is equal to ((1/2)*300)/x which is equal to 150/x.
now let's assume x is equal to 1.
you will get 150/1 = 150 jelly beans.
now let's assume x is equal to 3.
you will get 150/3 = 50 jelly beans.

the equation becomes:
number of jelly beans = 150/x
x = cost for 300 jelly beans.
it's just a matter of how you want to look at it.

another way to look at it would be to set up a ratio.
the ratio would be:
300/x = y/.5
this ratio says:
300 jelly beans is to x dollars as y jelly beans is to half a dollar.
cross multiply to get:
.5*300 = x*y

simplify to get:
150 = x*y
divide both sides of the equation by x to get:
y = 150/x
same equation again.
x is the cost for 300 jelly beans.
y is the number of jelly beans you can get for half a dollar.
7 0
3 years ago
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