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vazorg [7]
3 years ago
5

What is the factored form of b2 – 4b – 32?

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Answer:

  (b – 8)(b + 4)

Step-by-step explanation:

The signs of the binomial constants must be different in order for their product to be -32.

The one with the larger magnitude must be negative in order for their sum to be -4. The only viable choice is (b -8)(b +4).

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Draw an area model 1.1x2.4
Alexus [3.1K]
You have to draw a rectangle and label the longer side 2.4 and the shorter side 1.1

5 0
2 years ago
Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the
Ivanshal [37]

Answer:

its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest

8 0
2 years ago
9/8 divided by 3/8<br><br> 3/5 divided by 2/3
suter [353]
9/8 divided by 3/8 is 3 (because of the same denominator look at the first number)

3/5 divided by 2/3 is 0.9 hope this helps
8 0
2 years ago
Can anyone help me?pls
Mama L [17]

Answer/Step-by-step explanation:

Given:

C = right angle = 90°

BC = a = ?

AB = c = 12

AC = b = 9

Required:

a, <A, and <B

Solution:

✔️Find a using Pythagorean Theorem:

a = √(c² - b²)

a = √12² - 9²) = √63

a = 7.93725393 = 8 (nearest whole number)

✔️Find A by applying trigonometric ratio:

Thus,

Reference angle = A

Hypotenuse = 12

Adjacent = 9

Therefore,

cos(A) = \frac{adj}{hyp} = \frac{9}{12}

cos(A) = 0.75

A = cos^{-1}(0.75)

m<A = 41° (nearest whole number)

✔️Find B:

m<B = 180 - (90 + 41) (sum of interior angles of triangle)

m<B = 49°

8 0
3 years ago
Mary has 60 candy pieces and 45 chocolates. She wants to distribute the candy to her little sister's friends at her birthday par
Anna11 [10]

Answer:

5 friends

Step-by-step explanation:

Candy pieces = 60

Chocolate = 45

What should be the smallest number of her sister's friends for the distribution of candy and chocolate so each friend gets an equal number of candy pieces and chocolates in a way that there should not be left any chocolate or candy pieces left over?

To calculate this, find the lowest factor of 60 and 45

60:

Factors = 2, 4, 5, 6,

45:

Factors= 3, 5, 9

The lowest common factor of 60 and 45 is 5

The smallest number of her sister's friend so each person get an equal number of candy pieces and chocolate so there won't be any leftover is 5

That is

If there are 5 friends at the birthday party

60 candy pieces among 5 friends

= 60/5

= 12 pieces each

45 chocolate among 5 friends

= 45/5

= 9 each

6 0
3 years ago
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