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Artemon [7]
3 years ago
5

Which of these expressions is equivalent to m^2 - n^2 - 14n - 49?

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

n = m - 7 or n = -m - 7

Step-by-step explanation:

Solve for n:

m^2 - (n + 7)^2 = 0

The left hand side factors into a product with two terms:

(-7 + m - n) (7 + m + n) = 0

Split into two equations:

-7 + m - n = 0 or 7 + m + n = 0

Subtract m - 7 from both sides:

-n = 7 - m or 7 + m + n = 0

Multiply both sides by -1:

n = m - 7 or 7 + m + n = 0

Subtract m + 7 from both sides:

Answer:    n = m - 7 or n = -m - 7

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What’s the answer, and how do I find it step-by-step?
pshichka [43]

Answer: 16p^8q^4r^8 The yellow one

Step-by-step explanation:

Step 1: Use Multiplication Distributive Property: (xy)^a = x^a y^a. So 4^2p^2(q^3)(r^4)^2

Step 2: Simplify 4^2 to 16. So 16p^2(q^3)^2(r^4)^2

Step 3: Use Power Rule: (x^a)^b=x^ab. So 16p^2q^6(r^4)^2

Step 4: Use Power Rule: (x^a)^b=x^ab. So the answer is 16p^2q^6r^8. The yellow one

4 0
2 years ago
What is the answer A B C D
Kobotan [32]

Answer:

the answer is C

Step-by-step explanation:

8 0
3 years ago
Jane spent 3 hours exploring a mountain with a dirt bike. First, she rode 55 miles uphill. After she reached the peak she rode f
Neko [114]

Answer:

Her speed on the summit was 35 mph.

Step-by-step explanation:

Her speed on the summit was "x" mph while her speed while climbing was "x - 10" mph. The distance she rode uphill was 55 miles and on the summit it was 28 miles. The total time she explored the mountain was 3 hours. Therefore:

time uphill = distance uphill / speed uphill = 55 / (x - 10)

time summit = distance summit / speed summit = 28 / x

total time = time uphill + time summit

3 = [55 / (x - 10)] + 28 / x

3 = [55*x + 28*(x - 10)]/[x*(x - 10)]

3*x*(x - 10) = 55*x + 28*x - 280

3x² - 30*x = 83*x - 280

3x²  - 113*x + 280 = 0

x1 = {-(-113) + sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 35 mph

x2 = {-(-113) - sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 2.67 mph

Since her speed on the uphill couldn't be negative the speed on the summit can only be 35 mph.

6 0
3 years ago
In a line of students, Jenna is number 8.The teacher says that a rule for a number pattern is add 4. The first student inline sa
Virty [35]

Answer:

Formula for nth term in Arithmetic sequences is:

a_n =a+(n-1)d

where a is the first term, d is the common difference and n is the number of terms.

As per the statement:

The rule for the pattern is add 4.

As the first term in line says the first term i,e 7

a= 7

common difference(d)= 7

As the Jenna number is 8th in line.

Series we get;

7, 11, .........a_8

We have to find the 8th term.

n = 8, a = 7 and d = 4

Using above formula:

a_8 = 7+(8-1)4 = 7+7 \cdot 4 = 7 +28 = 35

Therefore, 35 number should Jenna say.

3 0
3 years ago
Read 2 more answers
how can you use distributive property to write an expression equivalent to the one given above? Use reasoning to explain how you
Anit [1.1K]

The reason how the expression are equivalent given below:

<h3>What is Distributive Property?</h3>

Multiplying a number by a sum or difference is the same as multiplying by each number in the sum or difference and then adding or subtracting.

The Complete question is:

How can you use distributive property to write an expression equivalent to the one given above? Use reasoning to explain how you know the expressions are equivalent.

Distributive property represents distribute the outside number among the number or digits in parenthesis.

For Example: Solve the expression 7(20 + 3) using the distributive property of multiplication over addition.

When we solve the expression 7(20 + 3) using the distributive property,

we first multiply every addend by 7.

This is known as distributing the number 7 amongst the two addends and then we can add the products.

This means that the multiplication of 7(20) and 7(3) will be performed before the addition.

Hence,  7(20) + 7(3) = 140 + 21 = 161.

Learn more Distributive Property here:

brainly.com/question/5637942

#SPJ1

8 0
1 year ago
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