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Zarrin [17]
3 years ago
6

Why do you think you need to subtract in the process of long division but add when doing synthetic division

Mathematics
1 answer:
Westkost [7]3 years ago
6 0
 <span>Because you have changed the sign of the divisor as part of setting up the synthetic division. 

The whole point of changing the divisor's sign is allow addition (which is easier) instead of subtraction.</span>
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HELPPP! Last attempt geometry!!
Helen [10]

Answer:

  x1 = 2, y1 = 0

  x2 = 2, y2 = 6

Step-by-step explanation:

Each pair of coordinates is (x, y). The first pair is (x1, y1). The second pair is (x2, y2). This means you have ...

  x1 = 2, y1 = 0

  x2 = 2, y2 = 6

_____

<em>Additional comment</em>

The slope of the line through these points is ...

  m = (y2 -y1)/(x2 -x1) = (6 -0)/(2 -2) = 6/0 = undefined

The line through these points is a vertical line with equation x = 2.

6 0
3 years ago
A circle with radius of 2cm sits inside a circle with radius of 4cm. What is the area of the shaded region?
uysha [10]

Answer

12.56.. I think

umm you haven't said which part of the circles is shaded but I assumed that it's the gap between the two circles

\pi {4}^{2}  -  \: \pi {2}^{2}

7 0
3 years ago
A dress needs 3 1/4 yards of fabric to make. If the matching jacket requires 5/6 less yards of fabric. How much fabric is needed
oksian1 [2.3K]
Fabric needs to make a dress = 3 1/4
fabric needs to make jacket= 3 1/4 - 5/6
= 29/12 or 2 5/12
Hence total fabric needed for both pieces is
= 3 1/4 + 2 5/12
= 68/12 or 5 8/12 or 5 2/3 yards
3 0
3 years ago
Given a line passes through point (5,8) and the origin, find the equation of the line.<br> y=
SOVA2 [1]

Answer:

y = 8/5x

Step-by-step explanation:

I'm assuming that they're asking for the equation in point-slope form.

The formula is y=mx+b where:

m = slope

b = y intercept

However, the y intercept is just (0,0) so b = 0

To find the slope we already have 2 given points: (0,0) and (5,8)

To find slope you do rise/run and you get 8/5

Substitute the slope & y intercept in the formula:

y = 8/5x

Let me know if I'm wrong!!

6 0
2 years ago
Read 2 more answers
Paul went on a bike ride of 30 miles. He realized that if he had gone 8 mph faster, he would have arrived 12 hours sooner. How f
lara [203]

Answer: He actually rode 2 miles per hour on his trip

Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.

Time  = distance /speed  t will represent time, s is the speed:  t = 30/s Use the rime it would have taken at the higher speed to create an equation:

t-12 = 30/s+8   replace the y with the 30/s

30/s -12 = 30/s+8

(s)(30/s -12 ) = (s)(30/s+8 )  Cross multiply to cancel denominators  

(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s   Simplify:  

(-1)(-12s² -96s +240 ) =0 ==>  12s² +96s -240  divide all by 12

s² + 8s -20 = 0   Factor and solve for s

(s +10)(s -2) =0    s-2=0   S= 2  

Proof:

30/2 = 15 hours for original trip at 2mph,  

increase speed by 8mph   2 + 8 = 10mph

30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.

(Brainilest, please :-)

4 0
3 years ago
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