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dezoksy [38]
3 years ago
15

Sahib tried four different solutions to the matching problem. Which of his four answers is correct?

Mathematics
2 answers:
ANEK [815]3 years ago
8 0
Your answer is correct

answer is D. last one.
Mazyrski [523]3 years ago
6 0

Answer:

Option 4th or the marked option is correct.

Step-by-step explanation:

The expressions are:

1. 3a^{2} +5a-1-5a^{2}-3a+8

Simplifying this by grouping same coefficients we get,

(3a^{2} -5a^{2})+(5a-3a)+(8-1)

= -2a^{2} +2a+7

2. 3a^{2} +4a+6- a^{2}-7a+1

(3a^{2} -a^{2})+(4a-7a)+(6+1)

= 2a^{2} -3a+7

3. -7a^{2}-9a+4+5a^{2}+5a+3

(-7a^{2} +5a^{2})+(5a-9a)+(4+3)

= -2a^{2} -4a+7

4. a^{2}-6a+2+a^{2}-2a+5

(a^{2}+a^{2})+(-6a-2a)+(5+2)

= 2a^{2} -8a+7

So, comparing all the answers, we can see that option 4th or the marked one is the correct matching.

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3y=11-2x, 3x=y-11 linear equation solve using the algebraic method check solution
tamaranim1 [39]

Answer:

(x, y) = (- 2, 5)

Step-by-step explanation:

given the 2 equations

3y = 11 - 2x → (1)

3x = y - 11 → (2)

Rearrange (2) expressing y in terms of x

add 11 to both sides

y = 3x + 11 → (3)

Substitute y = 3x + 11 into (1)

3(3x + 11) = 11 - 2x

9x + 33 = 11 - 2x ( add 2x to both sides )

11x + 33 = 11 ( subtract 33 from both sides )

11x = - 22 ( divide both sides by 11 )

x = - 2

Substitute x = - 2 in (3) for corresponding value of y

y = (3 × - 2) + 11 = - 6 + 11 = 5

As a check

substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.

(1) :  left side = (3 × 5) = 15

right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right

(2) : left side = (3 × - 2 ) = - 6

right side = 5 - 11 = - 6 ⇒ left = right

solution = (- 2, 5 )



5 0
2 years ago
The extensions of the legs AB and CD of a trapezoid ABCD intersect at point E. Find the lengths of the sides of △AED if AB=5cm,
Lynna [10]

Answer:

  AE = 15 cm; ED = 18 cm; AD = 15 cm (given)

Step-by-step explanation:

ΔBEC ~ ΔAED so ...

   AD/BC = AE/BE = (BE+AB)/BE = 1 + AB/BE

Substituting given numbers (lengths in centimeters), we have ...

  15/10 = 1 + 5/BE

  1/2 = 5/BE

  BE = 10

Similarly, ...

  1/2 = 6/CE

  CE = 12

Then the unknown sides are ...

  AE = AB + BE = 5 + 10 = 15 . . . cm

  ED = CE + CD = 12 + 6 = 18 . . . cm

8 0
3 years ago
Show three ways to estimate 3/5×9 1/2 identify each method you use
Slav-nsk [51]
                                  
\frac{3}{5} x 9 \frac{1}{2}

= \frac{27}{10} = 2,7
6 0
2 years ago
Read 2 more answers
How many pairs of whole numbers have a sum of 40
Alex
For the writer, <span><span>there are 20
1.       </span>1 + 39 = 40</span> <span><span>
2.       </span>2 + 38 = 40</span>
<span><span>3.       </span>3 + 37 = 40</span>
<span><span>4.       </span>4 + 36 = 40</span> <span><span>
5.       </span>5 + 35 = 40</span> <span><span>
6.       </span>6 + 34 = 40</span>
<span><span>7.       </span>7 + 33 = 40</span>
<span><span>8.       </span>8 + 32 = 40</span> <span><span>
9.       </span>9 + 31 = 40</span>
<span><span>10.   </span>10 + 30 = 40</span> <span><span>
11.   </span>11 + 29 = 40</span> <span><span>
12.   </span>12 + 28 = 40</span>
<span><span>13.   </span>13 + 27 = 40</span> <span><span>
14.   </span>14 + 26 = 40</span> <span><span>
15.   </span>15 + 25 = 40</span> <span><span>
16.   </span>16 + 24 = 40</span> <span><span>
17.   </span>17 + 23 = 40</span> <span><span>
18.   </span>18 + 22 = 40</span> <span><span>
19.   </span>19 + 21 = 40</span> <span><span>
20.   </span>20 + 20 = 40</span>



5 0
3 years ago
Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.
Sloan [31]
X hour and 7 dollars per hour

x = hour

7(x) is your function


thank you for Anlian for pointing it out.. there is 4 hours

so x = 4

plug in 4 in x. 7(4)

7 x 4 = 28

28 is your answer

hope this helps
6 0
3 years ago
Read 2 more answers
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