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inysia [295]
3 years ago
9

How to eliminate this using multiplication?

Mathematics
1 answer:
Greeley [361]3 years ago
5 0
-2a + 3b = 9 / x 2;

-4a + 6b = 18;

Then, -4a + 6b = 18
          +4a - 2b = 3 
          __________________(+)

We obtain 4b = 21;

b = 21/4;

-2a + 63/4 = 9;

-8a + 63 = 36;

-8a = - 27;

a = 27/8 ;

           
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Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due
ANTONII [103]

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

        Formula :   d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

      Formula : D=\sqrt{(x2-x1)^2+(y2-y1)^2}

⇒                     D = \sqrt{20^2t^2+15(t-1)^2}

Now let           F(t) = D^2(t)

                ∵    F'(t) = 800t + 450(t-1) =  1250t -450\\F'(t) =0

⇒                     t= 450/1250

⇒                     t= .36 hours

⇒                       = 21 min 36 sec

Since F"(t)=0,

∴ This time gives us a minimum.

Thus, The two boats will closet together at 2:21:36 pm.

3 0
3 years ago
Give the values of a, b, and c needed to write the equation's general form.. (5 + x)(5 - x) = 7. A = 1; B = 0; C = -18. A = 25;
Licemer1 [7]
The general form of an equation is A x^{2} +Bx+C=0. Solving for  (5+X)(5-X)=7 by multiplying the factors and subtratcting 7 on both sides gives the equation x^{2} -18=0, so 
A = 1
B = 0
C = -18
6 0
2 years ago
Simplify the radical expression √(5) + 6√(5)
Evgesh-ka [11]
Answer is  <span>C) 7√(5)
cause

</span><span>√(5) + 6√(5)
</span>=<span>√5 (1+6)
</span>= 7<span>√5</span>
8 0
3 years ago
Help anyone pleaseeee
AlexFokin [52]

Answer:

36 <127

(36,127°)

36 [ cos (127) + i sin (127)]

Step-by-step explanation:

w1 = 2 < 95

w2 = 18 < 32


w1 * w2

We multiply the magnitude and add the angles

w1 * w2 = 2*18 < (95+32)

            =36 < 127

             36 [ cos (127) + i sin (127)]

4 0
3 years ago
HELP ME PRETTY PLEASE <br><br> (WILL PICK BRAINLIEST ANSWER)
barxatty [35]

Answer:

An infinite number of solutions

Step-by-step explanation:

This is because of all the 0's the zeros represent none and none is infinite. When in the matrix you are solving and solving is a infinite. When times 0 is 0 and when divided by 0 is infinite so an infinite amount of answers.

6 0
2 years ago
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