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2 years ago

14 plus 5(x plus 3) minus 7

Mathematics

1 answer:

Damm [24]2 years ago

7 0

14+5(x+3)-7
14+(5x+15)-7
7+5x+15
5x+22

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Perform the indicated operations. Write the answer in standard form, a+bi. (5 + 6i)(5 - 6i)

lubasha [3.4K]

$\boxed{\underline{\bf \: ANSWER}}$

$\sf \: ( 5 + 6 i ) ( 5 - 6 i )$

Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.

$\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)i^{2}$

By definition, i² is -1.

$\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)\left(-1\right)$

Do the multiplications.

$\dashrightarrow \sf \: 25-30i+30i+36$

Now cancel -30i & +30i

$\dashrightarrow \sf \: 25 \: \bcancel{- 30i} \: + \: \bcancel{30i}+36$

Now the equation becomes

$\dashrightarrow \sf \: 25 \: + 36 \\ \dashrightarrow \boxed{\bf \: 61}$

________

Hope it helps.

ŕάίήвόώşάĻţ2²2²

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2 years ago

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Simplify the fraction. what is 42 over 98

Darya [45]

42/98=3/7
Have a great day :)

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2 years ago

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May you all help me.I need to find this answer to help me study for my midterm test.I will give Brainliest.

Slav-nsk [51]

9514 1404 393

Answer:

x = 17
y = 26

Step-by-step explanation:

In the left problem, you use the fact that the sum of the segment lengths is equal to the overall length.

AC +CB = AB

(3x -4) +(x -2) = 62

4x -6 = 62 . . . . . collect terms

4x = 68 . . . . . . . add 6

x = 17 . . . . . . . . . . divide by 4

In the right problem, you use the fact that the sum of the angles is equal to the overall angle. Here, that overall angle is a linear angle, so measures 180°.

∠DFG +∠GFE = ∠DFE

(5y +3) +(2y -5) = 180

7y = 182 . . . . . . . . . . . . . . collect terms, add 2

y = 26 . . . . . . . . . . . . . . . .divide by 7

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2 years ago

Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels

GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

$\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}$

Cross multiply

$350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200$

Divide both sides by 210

$\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph$

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2 years ago

Which fraction is equal to 0.98

Harrizon [31]

The most simplified version of it is 49/50

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