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murzikaleks [220]
3 years ago
11

Factor ab + 2a + 3b + 6

Mathematics
2 answers:
EastWind [94]3 years ago
7 0

The answer is (b+2)(a+3)

You have to group each like term but have them be able to separate evenly so when you do the foil method it goes back to the original equation.

Butoxors [25]3 years ago
7 0

Answer:

(b+2) (a+3)

Step-by-step explanation:

ab + 2a +3b + 6

ab + 2a + 3b + 3×2

After taking common

a (b +2) + 3( b+2)

Thus factors are:

(b+2) (a+3)

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At a point on the ground 20 feet from a building, a surveyor observes the angle of inclination to the top of the building to be
Bess [88]

Answer:

34.64 ft

Step-by-step explanation:

Distance from the building = 20 ft

Angle of inclination = π/3 radians

The tangent of the angle of inclination must equal the height of the building divided by the distance of the observer from the building:

tan( \pi/3) = \frac{h}{20} \\h = 20*1.73205\\h=34.64\ ft

The building is 34.64 ft tall

8 0
3 years ago
3/6 what is the sum in unit fractions
julia-pushkina [17]
Exact form:
1 / 2

Decimal foem :
0.5
6 0
3 years ago
During summer vacation, Erin read, on average, 4 pages per night. Once she returned to school, she averaged 3 pages per night. W
alexandr1967 [171]

Answer:

25% decrease.

Step-by-step explanation:

3/4=75%

100%-75%=25% decrease.

6 0
3 years ago
A certain company's main source of income is selling cloth bracelets. The company's annual profit (in thousands of dollars) as a
tester [92]

Answer:

8 thousand dollars

Step-by-step explanation:

The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24

To find maximum profit , we need to find out the vertex

x coordinate of vertex formula is -b/2a

P(x)=-2x^2+16x-24

a=-2  and b = 16

x= \frac{-b}{2a}= \frac{-16}{2(-2)} = 4

Now we plug in 4 for x  and find out P(4)

P(x)=-2(4)^2+16(4)-24= 8

So the maximum profit the company can earn is 8 thousand dollars when price = $4


6 0
3 years ago
Read 2 more answers
Seven times a number is the same as 12 more than 3 times the number. find the number
Arada [10]
7x=12+3x
-3x. -3x
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x=3
6 0
3 years ago
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