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never [62]
2 years ago
6

FACTORIZE AND Split the middle term: 72 + b - b^2​

Mathematics
1 answer:
seraphim [82]2 years ago
7 0

Answer:

- (b - 9)(b + 8)

Step-by-step explanation:

72 + b - b² ← factor out - 1 from each term and rearrange into standard form

= - (b² - b - 72) ← factor the quadratic

Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)

The factors are - 9 and + 8

Use these factors to split the b- term

b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )

b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term

(b - 9)(b + 8)

Then

72 + b - b² = - (b - 9)(b + 8)

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Lauren is replacing a door that measures 80 inches by 39. What is the distance between opposite corner of the door
Zanzabum

Answer:

Step-by-step explanation:

x² = 80² + 39²

x² = 6400 + 1521

x² = 7921

x = 89 inches

4 0
3 years ago
Tania purchased P packages of pasta for $1.25 each and J jars of sauce for $1.85 each. She purchased 22 items and spent $33.50.
sergey [27]

Answer:

you would need to first do

(p times 1.25)

       +

(j times 1.85)

and then

22 divided by 33.50

Step-by-step explanation:

3 0
3 years ago
A bus covers a distance of 2.45 km in 2 min. What is the speed of bus?​
Vladimir [108]

Answer:

The speed of the bus is 74.242 kilometers per hour.

Step-by-step explanation:

Let suppose that bus runs at constant speed and that speed is measured in kilometers per hour. Then, the speed of the bus (v), in kiometers per hour, is determined by following kinematic expression:

v = \frac{s}{t} (1)

Where:

s - Travelled distance, in kilometers.

t - Time, in hours.

If we know that s = 2.45\,km and t = 0.033\,h, then the speed of the bus is:

v = \frac{s}{t}

v = 74.242\,\frac{km}{h}

The speed of the bus is 74.242 kilometers per hour.

7 0
3 years ago
Which angle must be complementary to angle 3?<br><br><br><br> &lt;2<br> &lt;4<br> &lt;5<br> &lt;6
iogann1982 [59]
It is angle 4 because they make 90 degrees together

6 0
3 years ago
Read 2 more answers
14. 3/64 + 2/32 + 5/16 = <br>what is the answer ​
Anit [1.1K]

Answer:

27/64

Step-by-step explanation:

(7×16)+(5×64)64×16

=112+3201/024

=432/1024

Simplifying 432/1024, the answer is

=27/64

3 0
3 years ago
Read 2 more answers
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