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ra1l [238]
3 years ago
15

Find the number of terms in this polynomial. -8f^2

Mathematics
1 answer:
Gennadij [26K]3 years ago
6 0

Answer:

3 terms

Step-by-step explanation:

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Line a passes through that point (-8,-7) and has a slope of 5/8. Choose the equation that best represents A
GuDViN [60]

Answer:

y = 5/8 x -2

Step-by-step explanation:

Given that the slope of the line, m=5/8, which passes through the point (-8,-7).

Let the equation of the line be y=mx+c

where m is the slope of the line and c is a constant.

As m=5/8, so the equation of line become

y= 5/8x+c

As the line passes through the point (-8,-7), so putting y= -7 and x= -8, we have

-7 = 5/8(-8)+c

-7 = -5 + c

c= -7 + 5

c= -2

On putting the value of c, the equation of line become

y=5/8 x -2

Hence, the equation of the line is y = 5/8 x -2.

5 0
3 years ago
A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcycli
rewona [7]

Answer:

50 km/hr

Step-by-step explanation:

OK, this is how I solved this problem.

Let r = original rate of speed

     t = time after the stop to finish the trip

Time for trip without stopping is 225/r

(1)     1.5 + .5 + t = 225/r      This is a time equation

(2)    1.5r + t(r + 10) = 225     This is a distance equation

(1)       2 + t = 225/r            (2)      1.5r + tr + 10t = 225

         2r + tr = 225

                tr = 225 - 2r                 1.5r + 225 - 2r + 10(225/r - 2) = 225

                t = 225/r - 2

                                                   -.5r + 225 + 2250/r - 20 = 225

                                                     -5r + 2250 + 22500/r - 200 = 2250

                                                     -5r^2 + 2250r + 22500 - 200r = 2250r

                                                       5r^2 + 200r - 22500 = 0

                                                       5(r^ + 40r - 4500) = 0

                                                           5(r - 50)(r + 90) = 0

                                                                 r = 50   or    r = -90

The rate cannot be negative, so the original speed 50 km/hr

This not an easy problem and I hope you were able to follow my work

5 0
3 years ago
Read 2 more answers
Simplify 2√2-√3<br> ---------------<br> √2+√3
serious [3.7K]

Step-by-step explanation:

=  \frac{2 \sqrt{2}   -  \sqrt{3} }{ \sqrt{2} +  \sqrt{3}  }

=  \frac{2 \sqrt{2} -  \sqrt{3}  }{ \sqrt{2} +  \sqrt{3}  }  \times  \frac{ \sqrt{2} -  \sqrt{3}  }{ \sqrt{2} -  \sqrt{3}  }

= \frac{ 2( \sqrt{2}  -  \sqrt{3} )( \sqrt{2}  -  \sqrt{3} )}{ { \sqrt{2} }^{2} -  { \sqrt{3} }^{2}  }

=  \frac{2(2 -  \sqrt{6}  -  \sqrt{6} - 3) }{2 - 3}

=  \frac{2( - 1 - 2 \sqrt{6} )}{ - 1}

=  \frac{ - 2(1 + 2 \sqrt{6} )}{ - 1}

= 2(1 + 2 \sqrt{6} )

= 2 + 4 \sqrt{6}

6 0
2 years ago
Write two expressions that could be used to find 105% of x. ANSWER TODAY!! :) thanks
Margaret [11]

First way: x * 1.05

This computes directly what 105% of x will be.


Second way: x + (x * 0.05)

This takes x (which is 100%) and adds 5% of x to it.

6 0
3 years ago
Read 2 more answers
One number is five more than another number. If the square of the smaller number is 3 more than 3 times the larger number, what
11111nata11111 [884]

Answer:

6 and 11

Step-by-step explanation:

n1 = n + 5

ns^2 = 3 + 3nb

6^2 = 3 + 3(11)

36 = 3 + 33

11 = 6 + 5

3 0
2 years ago
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