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notka56 [123]
3 years ago
14

What makes (a + 2)(b – 9) = 0 true?

Mathematics
2 answers:
prohojiy [21]3 years ago
5 0
B would have to equal 9 and a should equal -2 to get 0
Ainat [17]3 years ago
3 0
Hm answer a should be -2 and answer b should be 9
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alexdok [17]
Observe attached picture.

On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft

When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.

We can apply trigonometry rules to find height of flagpole.

From small triangle containing sign we can find tangens function:
tan \alpha = \frac{C}{D}
Similarly we can do for large triangle containing flagpole:
tan \alpha = \frac{A}{B}

We see that these two equations have same left sides. This means that their right sides must also be same:
\frac{C}{D} = \frac{A}{B}
We can solve for A:
CB=AD \\ A= \frac{CB}{D}  \\ A= \frac{6*24}{3}  \\ A=48 ft

Height of flagpole is 48 feet.

8 0
4 years ago
Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 14 st
wariber [46]

Answer: The price of an adult ticket = $6

The price of a student ticket = $12

Step-by-step explanation:

Let the price of an adult ticket be a

Let the price of a student ticket be b.

From the question,

5a + 14b = 198 ...... equation i

10a + 8b = 156....... equation ii

Multiply equation i by 10

Multiply equation ii by 5

50a + 140b = 1980 ...... equation iii

50a + 40b = 780 ....... equation iv

Subtract iv from iii

100b = 1200

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b = 12

Put the value of b into equation ii

10a + 8b = 156

10a + 8(12) = 156

10a + 96 = 156

10a = 156-96

10a = 60

a = 6

The price of an adult ticket = $6

The price of a student ticket = $12

8 0
3 years ago
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kolbaska11 [484]

Answer:

the answer is 10,000

Step-by-step explanation:

thats what i put on the test and got it right

5 0
2 years ago
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raketka [301]
The correct answer is B
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3 years ago
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Monica [59]

Answer:

Step-by-step explanation:

1 3^2 is =

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