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Murljashka [212]
2 years ago
11

Factoris fully 2ab² + 8a²b​

Mathematics
1 answer:
drek231 [11]2 years ago
4 0

Answer:

2ab(b + 4a​)

Step-by-step explanation:

2ab² + 8a²b​

Factor Out the 2:

2(ab² + 4a²b​)

Factor Out the a:

2a(b² + 4ab​)

Factor Out the b:

2ab(b + 4a​)

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Mary spent a total of $353.86 for a party. She spent $200.51 on food, plus an additional $30.67 for each hour of the party. How
BartSMP [9]
The party was 5 hours. 353.86-200.51=153.35 then you divide that number by 30.67 and you get 5.
5 0
3 years ago
The table shows the distance Randy drove on one day of her vacation
horsena [70]
Given the table showing the distance Randy drove on one day of her vacation as follows:

\begin{tabular}
{|c|c|c|c|c|c|}
Time (h)&1&2&3&4&5\\[1ex]
Distance (mi)&55&110&165&220&275
\end{tabular}

The rate at which she travels is given by

rate= \frac{distance}{time}  \\  \\ = \frac{55}{1} =55mi/h

If Randy has driven for one more hour at the same rate, the number of hours she must have droven is 6 hrs and the total distance is given by

distance = 55 x 6 = 330 miles.
4 0
2 years ago
1. Rosie orders dessert at the cafe. The total bill is $50. She tips the waiter 10%.
laila [671]

Answer:

5

Step-by-step explanation:

this means it'll be $55

3 0
2 years ago
What is the product of the coordinates of the midpoint of a line segment with endpoints at (1,1) and (-7,5)?
puteri [66]

9514 1404 393

Answer:

  (-3, 3)

Step-by-step explanation:

The midpoint of a line segment is the average of the end point coordinates:

  ((1, 1) +(-7, 5))/2 = (1 -7, 1 +5)/2 = (-6, 6)/2 = (-3, 3) . . . midpoint coordinates

3 0
3 years ago
Prove this trigonometric equation;<br><br> - tan^2x + sec^2x = 1,
alekssr [168]
Hey there :)

- tan²x + sec²x = 1    or    1 + tan²x = sec²x

sin²x + cos²x = 1 
Divide the whole by cos²x

\frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x}

\frac{sinx}{cosx} = tanx so \frac{sin^2x}{cos^2x} = tan^2x
and
\frac{1}{cosx} = secx so \frac{1}{cos^2x} = sec^2x

Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}

1 = - tan²x = sec²x or sec²x - tanx = 1

3 0
3 years ago
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