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TiliK225 [7]
3 years ago
15

*20 points*

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0

Answer:

c=9

d=3

Step-by-step explanation:

We have been asked:

What value of c makes x2 + 6x + c a perfect square trinomial?

c =  

If x2 + 6x + c = (x + d)2, then d =

First step we have to do is divide the coefficient of x by 2. The coefficient is 6

6/2 = 3

Now take the square of 3 = 3^2

3^2 = 3*3 =9

The value of c is 9

If x^2 + 6x + c = (x + d)^2, then d =?

Put the value of c in the equation:

x^2+6x+9

Take the square root of 1st and third term. Then the expression can be written as:

x^2+6x+9 = (x+3)^2

Thus the value of d is 3.

If x^2 + 6x + 9 = (x + 3)^2, then d = 3 .....

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Multiply Conjugates Using the Product of Conjugates Pattern
poizon [28]

Answer:

The product is the difference of squares is $$\left(m-7\right)\left(m+7\right)={{m}^2}-49$$

Step-by-step explanation:

Explanation

  • The given expression is (m-7)(m+7).
  • We have to multiply the given expression.
  • Square the first term m. Square the last term 7 .

$$\begin{aligned}&(m-7)(m+7)=(m)^{2}-(7)^{2} \\&(m-7)(m+7)=m^{2}-49\end{aligned}$$

8 0
2 years ago
Wilma can mow a lawn in 80 mintues.Melissa can mow the same lawn in 120 minutes. How long does it take for both Wilma and Meliss
Luba_88 [7]
There is a formula for that;
Total time = (Worker 1 * Worker 2) / (Worker 1 + Worker 2)
Total time = (80 * 120) / (80 + 120)
Total time = 9,600 / 200
Total time = 48 minutes





4 0
4 years ago
Find the average value of the following numbers 87, 79, 84, 70, 90
dem82 [27]

82

Explanation

the average is calculated by dividing the sum of the values in the set by their number.

Step 1

Let

\begin{gathered} \text{set}=\lbrace87,79,84,70,90\rbrace \\ the\text{ sum of the values is=87+79+84+70+90}=410 \\ n\text{umber of values= 5} \end{gathered}

Step 2

apply the equation

\text{Average}=\text{ }\frac{the\text{ sum of the values}}{\nu mber\text{ of values}}=\frac{410}{5}=82

so, the answer is 82

6 0
1 year ago
Question 45 A length of pipe that weighs 45 pounds is cut into two pieces. One of the pieces is 3 feet long and weighs 18 pounds
dmitriy555 [2]

Answer: 4.5 pounds.

Step-by-step explanation:

Given : Weight of original pipe =45 pounds

Weight of first piece = 18 pounds

Then, Weight of  other piece = 45- 18 =  27 pounds

Length of first piece = 3 feet

Let x be the length of other piece.

As length is directly proportional to weight.

Then, \dfrac{x}{27}=\dfrac{3}{18}

\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5

Hence, the he length of the other piece = 4.5 pounds.

7 0
3 years ago
EASY
soldi70 [24.7K]

Answer: t ≥ 33

Step-by-step explanation:

So the temperature has to equal to 33 or less than 33.It can't be greater than 33.

8 0
4 years ago
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