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il63 [147K]
3 years ago
11

Please help, thank you

Mathematics
1 answer:
madam [21]3 years ago
7 0

Answer:

\displaystyle x=\frac{-8\pm\sqrt{(8)^2-4(4)(-221)}}{2(4)}\ \text{; x = 6.5 and x = -8.5}

Step-by-step explanation:

Subtract the right side of the given equation to put it into standard form:

  4x² +8x -221 = 0

Then the coefficients used in the quadratic formula are ...

  • a = 4
  • b = 8
  • c = -221

When these are filled into the form ...

\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

the result is as shown above.

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An airplane flew 4 hours with a 25 mph tail wind. The return trip against the same wind took 5 hours. Find the speed of the airp
balu736 [363]

Answer:

r  = 225 Mil/h     speed of the airplane in still air

Step-by-step explanation:

Then:

d  is traveled distance   and r  the speed of the airplane in still air

so the first equation is for a 4 hours trip

as  d = v*t

d  =  4 *  ( r  + 25)    (1)          the speed of tail wind  (25 mil/h)

Second equation the trip back in 5 hours

d  =  5  * ( r  - 25 )    (2)

So we got a system of two equation and two unknown variables  d  and

r

We solve it by subtitution

from equation (1)     d  =  4r  + 100

plugging in equation 2

4r  + 100  = 5r -  125    ⇒   -r  =  -225     ⇒    r  = 225 Mil/h

And distance is :

d  =  4*r  +  100         ⇒ d  =  4 * ( 225)  +  100

d  =  900 +   100

d  = 1000 miles

6 0
3 years ago
-1/4b + 1/2 = 5/6<br>Find b​
QveST [7]

Answer:

b = -4/3

Step-by-step explanation:

First, subtract the 1/2 over

-1/4b+1/2=5/6

5/6-1/2

To get a common denominator of 6, multipy 1/2 by 3

5/6-1/2(3)

5/6-3/6=2/6

-1/4b=2/6

Next, multiply by the reciprocal of -1/4, or -4

(-4)-1/4b=2/6(-4)

b=-4/3

7 0
3 years ago
Y=-x+8 what is this can you tell me
GREYUIT [131]

Answer:

algebra

Step-by-step explanation:- x - 8.

brainliest plzzz

4 0
3 years ago
Read 2 more answers
How do I solve this?
Lady_Fox [76]

Answer:

Step-by-step explanation:

Ummm....

5 0
3 years ago
PLEASE ANSWER QUICKLY
Luba_88 [7]
29-11=18
18²+18²=p²
324+324=p²
p²=648
p=18√2
That's your answer.
6 0
3 years ago
Read 2 more answers
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