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Dafna11 [192]
3 years ago
8

The diagram represents the factorization of a2 + 8a + 12.What is the missing number that will complete the factorization? a2 + 8

a + 12 = (a + 2)(a + )
Mathematics
2 answers:
jarptica [38.1K]3 years ago
8 0
To factor a quadratic of the form ax^2+bx+c you need to find two values, j and k, which satisfy two conditions...

jk=ac=12 and j+k=b=8, so j and k must be 2 and 6

Then the factors are just (a+j)(a+k), in this case:

(a+2)(a+6)

So the missing term was 6
Hatshy [7]3 years ago
3 0
I'm assuming the a is squared.

You have to find what multiplies to make 12 (1st number and last multiplied together) and adds to make 8 (the middle number). In this case the two numbers you need are 2 and 6, and so your missing number is 6. If you want to check, you can multiply out the brackets. Hope I explained well enough.
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Mrs. Davis bought 6 pounds of grapes for $18. At this rate, how much would 72 ounces of grapes have cost?
Sergio [31]

Answer:

Step-by-step explanation:

1 pound = 16 ounce

6 pound = 6 * 16 = 96 ounces

Cost of 96 ounces of grapes = $18

Cost of 1 ounce of grape = 18/96

Cost of 72 ounces of grape = 18*72 / 96 = 27/2

                                              = $13.50

Or

Direct Proportion because is weight increase, the cost will increase

96:18 = 72 : x

Product of means = Product of extremes

18*72 = x*96

18*72/96 = x

x =$13.50

8 0
3 years ago
Read 2 more answers
if a 14 foot tree casts a 8 foot long shadow. how tall is a tree that casts a 4 foot long shadow?
kvasek [131]

7-foot

EXPLANAT

Given:

14 foot tree

8foot shadow

4foot shadow

Let h be the height of a tee that casts a 4 foot long shadow.

Using proportion;

14 foot = 8 ft shadow

h = 4 ft shadow

Cross - multiply

8h = 56

Divide both-side by 8

h = 7 foot.

Hence, the tree is 7-foot.

4 0
1 year ago
Look at the picture
IRISSAK [1]

Answer:

x = 10

Step-by-step explanation:

In the last step, you can see that the fraction \frac{1}{5} has been multiplied by its reciprocal \frac{5}{1}, making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply \frac{6}{3} · \frac{5}{1} :

6 · 5 = 30

3 · 1 = 3

<u><em>So now you should have the fraction:</em></u>

x = \frac{30}{3}

<u><em>But, you can still simplify the fraction by dividing 30 by 3:</em></u>

x = 10

7 0
3 years ago
10. The numbers —12, —7, —2, 3... follow a pattern. What are the next three numbers in this pattern? 7, 11, 16 5, 10, 15 2, 7, 1
Alik [6]
The answer is 8, 13, 18
4 0
3 years ago
Are the lengths of the side of the square and perimeter of the square related proportionally? Why or why not
telo118 [61]

Answer:

They are proportional

Step-by-step explanation:

becaue the length of one of the square's sides is 1/4 the perimeter

8 0
3 years ago
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