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3 years ago

Solve by factoring. a^2+2a-35=0

1 answer:

4 0

$\displaystyle\bf\\a^2+2a-35=0\\\\a^2\underbrace{-5a+5a}+2a-35=0\\\\a^2-5a+7a-35=0\\\\a(a-5)+7(a-5)=0\\\\(a-5)(a+7)=0\\\\\implies~~a-5=0~~or~~a + 7=0\\\\a-5=0~~\implies~~\boxed{\bf a_1=5}\\ \\a+7=0~~\implies~~\boxed{\bf a_2=-7}$

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Explain the different ways you can name an angle. What<br> are the different names for this angle?

Dmitry_Shevchenko [17]

Answer:

If the angle is less than 90 degrees it‘s acute. If it’s exactly 90, it’s a right. And if it is more than 90 degrees it is obtuse.

Step-by-step explanation:

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4 years ago

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Which point is located in Quadrant IV? A coordinate plane. (–8, 6) (–8, –6) (8, –6) (8, 6)

allochka39001 [22]

Answer:

(8, 6)

Step-by-step explanation:

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3 years ago

John is interested in purchasing a multi-office building containing five offices. The current owner provides the following proba

Elenna [48]

Answer:

Option B.

Step-by-step explanation:

The given table is:

Number of Lease Offices : 0 1 2 3 4 5

Probability : 5/18 1/4 1/9 1/18 2/9 1/12

The expected probability is

Expected probability = $\sum_{i=0}^5 x_{i}p(x_i)$

Expected probability = $0p(0)+1P(1)+2P(2)+3P(3)+4P(4)+5P(5)$

Expected probability = $0\cdot (\frac{5}{18})+1\cdot (\frac{1}{4})+2\cdot (\frac{1}{9})+3\cdot (\frac{1}{18})+4\cdot (\frac{2}{9})+5\cdot (\frac{1}{12})=\frac{35}{18}$

It is given that the yearly lease = $12,000.

The yearly leases for the whole building in a given year is

Yearly leases = $\frac{35}{18}\times 12000=23333.3333333\approx 23333.33$

Therefore, the correct option is B.

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4 years ago

Which inequality represents the sentence?

BARSIC [14]

7.2 x 29 then 208.8 29

Step-by-step explanation:

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3 years ago

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Lee has a jar of 100 pennies. She adds groups of 10 pennies to the jar . She adds 5 groups. What numbers does she say?

lisabon 2012 [21]

If the groups are all made up of 10 pennies and she added 5 groups, then

5 x 10 = 50

Which means she added 50 pennies to the jar and now has 150 pennies. :)

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4 years ago