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Inessa [10]
3 years ago
10

If b (middle term) is negative and c (last term is positive) then what do you know about the two factors? ex. 2x^2-7x+6

Mathematics
1 answer:
seraphim [82]3 years ago
4 0

Answer:

  signs of the constants in the binomial factors are negative

Step-by-step explanation:

Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.

  2x^2 -7x +6 = (x -2)(2x -3)

__

<em>Further comment</em>

c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.

b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.

In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.

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5x-4y=-18 what is the three point on a graph for this equation
Tju [1.3M]
(1)Draw the "y" line . It goes up and down. 
<span>Make sure to mark the centimeters or quarter inches with little nobs. </span>
<span>Start at -20 and go to 10 </span>
<span>(2)Draw the "x" line. it goes side to side. </span>
<span>place the x line at the zero point of the y line. I'm sure you will see your paper looks like the letter "t". Perfectly at a right angle. you could use the corner of a book to square it. </span>

<span>Now for the maths 5x - 4y = -18. The most important symbol here is the "=" sign. </span>
<span>(3) rearrange the equation so that y is on one side of "=" and x is on the other side. </span>
<span>Remember if you add 10 to one side the of "=" , then for it to be equal, add 10 to the other. side also </span>
<span>so add 4y to both sides. add 18 to both sides . divide the whole of each side by 4. </span>
<span>5x - 4y + 4y + 18 = -18 + 4y + 18 </span>
<span>1.25x + 4.5 = y </span>
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5 0
3 years ago
A solid cylinder has a radius of 4.9 cm and a height of 3.5 cm. Work out the total surface area of the cylinder. Give your answe
Novosadov [1.4K]

Answer:

252 cm²

Step-by-step Explanation:

=>Given:

r = 4.9 cm, and h = 3.3 cm of a solid cylinder, π = 3.14

=> Required:

Total Surface Area (T.S.A) = 2πrh + 2πr²

T.S.A = 2*3.14*4.9*3.3 + 2*3.14*4.9²

= 101.5476 + 150.7828

= 252.3304

= 252 cm² (approximated)

8 0
3 years ago
Need help on this question thank you
Ivahew [28]

Answer:

B.

Step-by-step explanation:

8 0
3 years ago
PLEASE ANSWER ANY PROBLEM ASAP THANK YOU SO MUCH
Mashcka [7]

Answer:

1) No

2) Yes

3) angle UXS = 120 degrees

4) arc CB = 40 degrees

Step-by-step explanation:

If AB is tangent to the circle, then angle at A would be 90 degrees.

1)

Is 13^2 + 14.6^2 = 19.4^2?

169 + 213.16 = 376.36      No

2)

Is 8^2 + 6^2 = 10^2?

64 + 36 = 100      Yes

3)

arc WS = arc VU + arc TU = 113 degrees

arc ST = arc WV because their chords cross making a pair of vertical angles.

full circle = 360 degrees

360-113 - 113 = 134 degrees

134/2 = 67 degrees for arc ST

arc STU = 67 + 53 = 120 degrees

Angle UXS = 120 degrees

4) arc CB = arc FB =  40 degrees because their chords cross making a pair of vertical angles.

3 0
3 years ago
A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire, he walks it back a
vladimir1956 [14]

Answer

Find out the  how far into the country does he go.  

To proof

Let us assume that the total diatance travelled into the country be x .

Formula

Time =\frac{Distance}{Speed}

As given

A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire,

he walks it back at an average speed of 3 miles per hour.

If he returns home 6 and a half hours after he starts i.e the total time including the bike time and walk time of the cyclist be 6.5 hours.

Than the equation becomes

\frac{x}{10} +\frac{x}{3} = 6.5

L.C.M of (10,3) = 30

Than the equation becomes

3x +10x = 195

solving

13x = 195

x = \frac{195}{13}

x = 15 miles into the country

Hence proved

6 0
3 years ago
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