MATHEMATICS HIGH SCHOOL

Find the product of (4x + 3y)(4x − 3y).16x2 − 24xy + 9y2
16x2 − 9y2
16x2 + 24xy + 9y2
16x2 + 9y2

Answers

Answer 1
Answer:

Answer:

Option B is correct

16x^2-9y^2

Step-by-step explanation:

The distributive property says that:

a \cdot (b+c) = a\cdot b+ a\cdot c

To find the product of (4x + 3y)(4x − 3y).

Distribute the first term of the first expression to the second expression and second term of the first expression to the second expression we have;

4x(4x-3y)+3y(4x-3y)

Apply the distributive property;

16x^2-12xy+12xy-9y^2

Combine like terms we have;

16x^2-9y^2

therefore, the product of  (4x + 3y)(4x − 3y) is, 16x^2-9y^2
Answer 2
Answer:

Answer:

Correct Answer: 16x^2 - 9y^2

Step-by-step explanation:

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What can be concluded if angle 1 =angle7

Answers


From the information given in the question,
the only possible conclusion is:

              If angle 1 is measured and angle 7 is measured,
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If angle 1 and angle 7 are related to a particular shape or drawing,
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Which expression is equivalent to n2 + 26n + 88 for all values of n?(n + 8)(n + 11)

(n + 4)(n + 22)

(n + 4)(n + 24)

(n + 8)(n + 18)

Answers

Answer:

Option B is correct.

The expression which is equivalent to  n^2+26n+88  is; (n+22)(n+4)

Explanation:

Given the equation: n^2+26n+88 for all values of n.

The quadratic equation in this form; ax^2+bx+c =0

First find two numbers that multiply to give ac and add to give b.

From the given equation;

a =1 , b = 26 and c =88

then,

the two number that multiply to give ac =88 is, 22 or 4

and they add up to give b=26 (i.e 22+4)

Now, rewrite the middle term i.e 26n with 22n and 4n , we have

n^2+22n+4n+88=0

Now, factor the first two terms and last two terms,

n(n+22)+4(n+22)

we see that (n+22) is common to both terms so, we have;

(n+22)(n+4)

Therefore, the expression (n+22)(n+4) is equivalent to  n^2+26n+88

Check:

(n+4)(n+22) = n\cdot n+ 22n+4n+88=n^2+26n+88   [ True]
Solutions 

The expression equivalent to n^2 + 26n + 88  is 

n^2 + 26n + 88
(n + 4)(n + 22)

If the trapezoid below is reflected across the x-axis, what are the coordinates
of B?

Answers

Answer:

-3,8

Step-by-step explanation:

Suppose S and T are mutually exclusive events, P(S) = 5%, and P(T) = 11%. Find P(S or T).

Answers

P(S or T) for mutually exclusive events = P(S) + P(T).

Then P(S or T) = 5% + 11% = 16%.

Sara has some fish, 2 birds, and 5 hamsters. She has 6 fewer hamsters than fish.How many fish does she have?

Answers

Answer: There are 11 fish she have.

Step-by-step explanation:

Since we have given that

Number of birds = 2

Number of hamsters = 5

Let the number of fish be 'x'.

According to question, she has 6 fewer hamsters than fish.

So, our equation becomes

f-h=6\n\nf-5=6\n\nf=6+5\n\nf=11

Hence, there are 11 fish she have.
There are 5 hamsters. If she has 6 fewer hamsters than fish, that means x-6=5
which means 5+6=11 so there are 11 fish.
The answer is 11

6 * x = - 24
What is the missing number?​

Answers

The missing number is 4
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