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Alik [6]
3 years ago
15

For what value of m is the expression x4+mx2+64 a perfect square?

Mathematics
1 answer:
Advocard [28]3 years ago
6 0

Answer:

x^4 + 1/4 x^2 + 1/64 is a perfect square. 16x^4 + 4x^2 + 1/4 is a perfect square. (4x^2 + 1/2)^2. So you must add -3/4

Step-by-step explanation:

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Working alone, it would take Shandra 40 minutes to sand a table. To sand the same table, also working alone, it would take
egoroff_w [7]

Answer:  it will take them about 24 minutes working together

Step-by-step explanation:

1/40    +   1/60 =

6/240 +  4/240 = 10/240 = 1/24

1/24 = 1/t

Cross multiplication:

1*t = 1*24  

t= 24

3 0
3 years ago
Read 2 more answers
What is answer to 12=4x what is x
krek1111 [17]
Division Property of Equality.
Always use opposite operation with side that contains variable.

Isolate variable.
Divide 4 by 4 to get it by itself.

Now do the same to other side.
12\div4=3\\x=3
6 0
3 years ago
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Consider the following.3x + 3y = 8(a) Find y' by implicit differentiation.(b) Solve the equation explicitly for y and differenti
ludmilkaskok [199]

Answer:

a.y'=-1

b.y'=-1

c.Yes

Step-by-step explanation:

We are given that consider a function

3x+3y=8

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable

Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.

a.3x+3y=8

Differentiate w.r.t x then we get

3+3\frac{dy}{dx}=0

3\frac{dy}{dx}=-3

\frac{dy}[dx}=\frac{-3}{3}=-1

\frac{dy}{dx}=y'=-1

b.3x+3y=8

3y=8-3x

y=\frac{8-3x}{3}

Differentiate w.r.t x then we get

\frac{dy}{dx}=\frac{-3}{3}=-1

\frac{dy}{dx}=y'=-1

When we substituting the value of y obtained from part b into a solution of part a then we get

y'=-1

Hence, solutions are consistent.

8 0
3 years ago
What is the slope of the line that passes through the points (6, 2) and (4, 10)?
drek231 [11]

Answer:

-4

Step-by-step explanation:

Slope = y2 - y1/x2 - x1

Given

x1 = 6

y1 = 2

x2 = 4

y2 = 10

Therefore

Slope = 10 - 2/4 - 6

= 8/-2

= -4

5 0
3 years ago
Read 2 more answers
Parallel lines "a" and "b" are cut by a transversal "c." What is "R" in the diagram below?
belka [17]

Answer:

I'm guessing it's 70°

Step-by-step explanation:

in the image above you can see I circled the 70°

the same angle is below it to the left. which means it's 70°

4 0
3 years ago
Read 2 more answers
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