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olganol [36]
2 years ago
10

A student factors a6 - 64 to (a2 - 4)(a4 + 4a2 + 16).Which statement about (a2 − 4)(a4 + 4a2 + 16) is correct?

Mathematics
1 answer:
IrinaK [193]2 years ago
4 0

Answer:

Option (b) is correct.

The expression is equivalent, but the   term is not completely factored.

Step-by-step explanation:

Given :  a student factors  to

We have to choose the correct statement  about   from the given options.

Given   is factored to

Consider    

Using algebraic identity,

comparing  and b = 4, we have,

Thus, the factorization is equivalent but we can simplify it further also, as

Using algebraic identity,

Thus,

Can be written as

Thus, the expression is equivalent, but the   term is not completely factored.

Option (b) is correct.

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Ax +by=c solve for y
hichkok12 [17]

Answer:

y = c/b - (A x)/b

Step-by-step explanation:

Solve for y:

A x + b y = c

Hint: | Isolate terms with y to the left hand side.

Subtract A x from both sides:

b y = c - A x

Hint: | Solve for y.

Divide both sides by b:

Answer:  y = c/b - (A x)/b

6 0
2 years ago
A group of tenth grade students responded to a survey that was asked which Math course they were currently enrolled in. The surv
ale4655 [162]

Answer:

C.

Step-by-step explanation:

The bottom-right most cell tells us that the total number of students that responded to the survey is 310 students.

To find the answer, we can go through each choice.

A. Females taking Geometry

Row 1 Column 2 tells us that 53 females are taking geometry. 53/310 is about 17%.

B. Females taking Algebra II.

Row 1 Colume 3 tells us that 62 females are taking Algebra II. 62/310 is 20%.

C. Males taking Geometry.

Row 2 Colume 2 tells us that 59 males are taking Geometry. 59/310 is about 19%. Choice C is correct.

D. Males taking Algebra I.

44 out of the total 310 respondents are male and is taking Algebra I. 44/310 is about 14%.

4 0
3 years ago
a right triangle has a hypotenuse with a length of 20. the lengths of the legs are whole numbers. what are the lengths of the le
Y_Kistochka [10]

Answer:

12;16

Step-by-step explanation:

The Pythagorean theorem states that

a^2+b^2=c^2 where a and b are legs of a triangle, and c is the hypotenuse.

This means that we have to find 2 values that once squared, add up to 400. (20^2)

Based on this, we can use the values of 12 and 16 to satisfy this.

12^2+16^2=144*256=400

Therefore, the legs of the triangle are 12 and 16.

5 0
3 years ago
Select all the ordered pairs that satisfy the function y = 3x -4.
aksik [14]

Answer:

B and D

Step-by-step explanation:

plug in the x and y for the x and y in the equation

if the two sides come out equal to eachother they satify the function

if they dont well they dont satisfy the function

hope this helps <3

4 0
2 years ago
The circumference of a circle is 36x feet. What is the length of the radius of this circle?
s2008m [1.1K]

Answer:

18h

Step-by-step explanation:

7 0
3 years ago
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