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n200080 [17]
3 years ago
6

A student is asked to calculate the value of 212 − 132 using the identity x2 − y2 = (x − y)(x + y). The student's steps are show

n below. Step 1: 212 − 132 = (a − b)(a + b) Step 2: = (c)(d) Step 3: = (8)(30) + 8(4) Step 4: = 240 + 32 Step 5: = 272 What are the values of a, b, c, and d?
Mathematics
1 answer:
xenn [34]3 years ago
7 0
(c)*(d)=8*30+8*4=8*34,=>
c=8
d=34
a+b>a-b, =>a+b=d, a-b=c; =>
{a+b=34
{a-b=8, =>a=b+8 ;
(b+8)+b=34
2b=34-8
b=13
a=13+8=21

Answer: a=21; b=13; c=8; d=34.


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Y(a -b) =c(y+ a); y
Ksivusya [100]

Answer:

y = ac / (a - b - c)

Step-by-step explanation:

y(a - b) = c(y + a)

Distribute

ay - by = cy + ac

Subtract cy from both sides

ay - by - cy = ac

Factor out y

y(a - b - c) = ac

Divide both sides by (a - b - c)

y = ac / (a - b - c)

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2 years ago
How to add fractions? with unlike denominators
stellarik [79]

Answer:

The recipe calls for 19/12 or 1 7/9 cups.


Step-by-step:

In order to get this answer, we have to add all three fractions together. First, we have to find the LCM (Least Common Multiple) between the three denominators:

2: 2, 4, 6, 8, 10, 12

3: 3,6,9,12

4: 4,8,12

The LCM between these three denominators is 12.

4x3=12

2x6=12

3x4=12

You now multiply the numerator by the same number you multiplied by for the denominator in order to get 12:

3/4 becomes 9/12

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1/3 becomes 4/12

We now add all the fractions together:

9/12+6/12+4/12= 19/12

We got 19/12 but the answer is an improper fraction so we turn it into a mixed number:

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This is written as 1 7/12.

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<h3>CloutAnswers</h3>
3 0
3 years ago
What is the line of symmetry for the parabola whose equation is y = 3x2 + 24x - 1?
meriva
Hello :
<span>y = 3x2 + 24x - 1
   = 3(x²+8x) -1
   = 3 (x² +2(4)(x) +4²- 4² ) -1
   = 3((x+4)² -16)-1
y = 3(x+4)² - 49
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8 0
3 years ago
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Answer:

it will take her 12 days

Step-by-step explanation:

you do this problem by subtracting the 180 form 720 thne dividing by how much she will be adding every day

8 0
3 years ago
6x + 3(x + 1.15) gfgfdgfdgdfgfdgfggfdgfdgfddfdfgdfgdf
madreJ [45]

Answer:

9x+3.45

Step-by-step explanation:

Let's simplify step-by-step.

6x+3(x+1.15)

Distribute:

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Combine Like Terms:

=6x+3x+3.45

=(6x+3x)+(3.45)

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3 0
3 years ago
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