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4 years ago

A student claims that the equation y=7 id not a linear equation because it does not have the form y=mx+b.

Mathematics

1 answer:

Misha Larkins [42]4 years ago

5 0

I disagree, the equation is in y=mx+b form. The slope, or m, is 0, so the equation is y=0x+7. That simplifies to y=7.

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An inch in equal to about 2.54 centimeters. Write an expression which estimates the number of centimeters in x inches. Then esti

iris [78.8K]

1 inch = 2.54 centimeters. this is a ratio.

expression: x inches * _2.54 centimeters_ = # of centimeters in x inches
1 inch
the reason the 1 inch is in the denominator is to cancel out the inches for x so that you are only left with centimeters.

estimate: 12 inch * _2.54 centimeters_ = 30.48 centimeters.
1 inch

6 0

3 years ago

g 7. Find Re f and Im f and find their values at the given z. (Both answers should be included) f = z⁄(z + 1), z = 4 − 5

Schach [20]

Answer:

The real and imaginary parts of the result are $\frac{1441}{1601}$ and $\frac{4}{1601}$ , respectively.

Step-by-step explanation:

Let be $f(z) = \frac{z}{z+1}$ , the following expression is expanded by algebraic means:

$f(z) = \frac{z\cdot (z-1)}{(z+1)\cdot (z-1)}$

$f(z) = \frac{z^{2}-z}{z^{2}-1}$

$f(z) = \frac{z^{2}}{z^{2}-1}-\frac{z}{z^{2}-1}$

If $z = 4 - i5$ , then:

$z^{2} = (4-i5)\cdot (4-i5)$

$z^{2} = 16-i20-i20-(-1)\cdot (25)$

$z^{2} = 41 - i40$

Then, the variable is substituted in the equation and simplified:

$f(z) = \frac{41-i40}{41-i39} -\frac{4-i5}{41-i39}$

$f(z) = \frac{37-i35}{41-i39}$

$f(z) = \frac{(37-i35)\cdot (41+i39)}{(41-i39)\cdot (41+i39)}$

$f(z) = \frac{1517-i1435+i1443+1365}{3202}$

$f(z) = \frac{2882+i8}{3202}$

$f(z) = \frac{1441}{1601} + i\frac{4}{1601}$

The real and imaginary parts of the result are $\frac{1441}{1601}$ and $\frac{4}{1601}$ , respectively.

8 0

3 years ago

Find the area of a regular hexagon with a radius of 6 in

s344n2d4d5 [400]

Hexagon is a total of 6 triangle
Let find area of one triangle the multiplying with 6
Area of a triangle is A=1/2bh
We know b=6 and h= (6(square root of 3))/2
A= 1/2x6x(6(square root of3))/2=9(square root of 3)
Where square root of 3= 1.732
Area of a triangle=9x1.732 =15.588
Area of Hexagon equals 6 area of triangle so
Area of Hexagon= 6x 15.588=93.53

4 0

4 years ago

How much longer is a 12cm pencil than a 1 dm pen

Alexxx [7]

Well one dm= 10 cm
12-10= 2 cm

6 0

4 years ago

Name the relationship between x and y:

Yanka [14]

Answer:

They are the same angle.

Step-by-step explanation:

We have a diagonal line and two 180° parallel lines running through it. The x and y values should be identical because of the placement. The diagonal on the right and right above the 180° angle.

Option 2: Corresponding angles.

Hope this helps!

If not, I am sorry.

8 0

2 years ago