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3 years ago

Show that if n is an integer and n^3 + 5 is odd then n is even

1 answer:

3 0

If n is odd then its cube is also odd because odd times odd is odd. When we add 5, an odd number, we get an even number.
If n is even, its cube is also even so adding an odd number makes the sum odd. So if the expression is odd, n must be even.

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Graph the image of the given triangle under a dilation with a scale factor of –4 and center of dilation (0,0).

Dvinal [7]

Step-by-step explanation:

Hey there!

The coordinates of a triangle are;

A (1,2)
B (1,-2)
C (-2,-2)
Scale factor = -4 and centre at (0,0)

Now, We have;

P(x,y)----------- P'(kx, ky)

Keep formula;

A(1,2)---------- A'(-4×1 ,-4×2)

= A'(-4, -8)

B(1,-2)------------- B'(-4,8)

C(-2,-2)-------------C'(8,8)

[ The A' should be kept in (-4,-8). There was no place in this graph so, i kept it just below -7. Please while plotting remember to keep it on "-8".]

Hope it helps..

8 0

3 years ago

What is the area of the circle below, in terms of ?90 metersO 457O 907O 1807O 81007134

defon

Step 1: Write out the formula

$\begin{gathered} \text{Area of a circle = }\pi r^2 \\ \text{where } \\ r=\text{ the radius of the circle} \end{gathered}$

Step 2: Write out the given values and substitute them into the formula

$r=90m$

Therefore,

$\text{ the area of the circle = }\pi(90)^2=\pi\times8100=8100\pi m^2$

Hence, the area in terms of pi is

$8100\pi$

The last choice is the correct answer

3 0

1 year ago

26 is what percent of 4.16?

Anna007 [38]

Answer:

26 is 6.25% of 4.16.

Hope this helped

3 0

2 years ago

Now who want free brain list x2

mrs_skeptik [129]

Answer:

Step-by-step explanation:

6 0

1 year ago

What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3

Dmitriy789 [7]

Answer:

Area of the given figure is 51.5 square units.

Step-by-step explanation:

Area of rectangle OCBH = Length × width

= 11 × 8

= 88 square units

Area of trapezoid OGEF = $\frac{1}{2}(b_1+b_2)\times h$

= $\frac{1}{2}(\text{GE+OF)}\times (\text{OG})$

= $\frac{1}{2}(3+6)\times 4$

= 18 units²

Area of trapezoid GCDE = $\frac{1}{2}(\text{GC+DE)}\times (\text{GE})$

= $\frac{1}{2}(7+2)\times 3$

= 13.5 units²

Area of triangle AFH = $\frac{1}{2}(\text{Base})\times (\text{Height})$

= $\frac{1}{2}(5)(2)$

= 5 units²

Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)

= 88 - (18 + 13.5 + 5)

= 88 - 36.5

= 51.5 units²

Therefore, area of the given polygon is 51.5 units²

3 0

3 years ago