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natali 33 [55]
3 years ago
8

Which statement is true?

Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:

All squares are rectangles.

Step-by-step explanation:

A square is a rectange with equal-length sides.

A rectangle is a parallelogram with right-angle corners.

A parallelogram is a quadrilateral with opposite sides parallel.

A quadrilateral is any 4-sided plane figure, not necessarily convex. Sides are not necessarily parallel, nor are angles necessarily 90°.

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Prove that for all integers a and b. If<br>a^2(b^2 - 2b) is odd, then a and b are odd​
nikklg [1K]

Answer:

  • we have:

a²(b² - 2b) = a²b² - 2a²b

  • a²(b² - 2b) is odd but -2a²b is the even number

=> a²b² must be the odd (because an odd number minus an even number equals an odd number)

=> a and b are odd (proven)

6 0
3 years ago
Find the derivative of the function
Sav [38]

Hello from MrBillDoesMath!

Answer:

27 x^2 sqrt(x^3) sin(x^3) - 9/2 sqrt(x^1/2) sin(x^1/2)*x^(-1/2)


Discussion:

Let f(t) - 9 sqrt(t) sin(t), then


y' = f(x^3) * d(x^3)/dx  - f(sqrt(x)) * d(x^1/2)/dx

   = (9 sqrt(x^3)sin(x^3)) * 3x^2 -  (9 sqrt(x^1/2)sin(x^1/2)) * (1/2) x^-(1/2)

   = 27 x^2 sqrt(x^3) sin(x^3) - 9/2 sqrt(x^1/2) sin(x^1/2)*x^(-1/2)


Hope I didn't make a "bozo" error differentiating things!


Thank you,

MrB

3 0
3 years ago
Mr. Smith got a new puppy, Stout! He went out and bought a bag of puppy chow for $27.99, but had a 15% off coupon.
ANTONII [103]
1. 27.99 divide by 100 x 85% = 23.79

2. 23.79 divide 100 x 106.5% = 25.34 i think !!
7 0
3 years ago
Read 2 more answers
Find the angle of this sector. <br>on the image ​
KatRina [158]

Answer:

\alpha =107.4^{o}

Step-by-step explanation:

15=\frac{\pi (8)\alpha }{180}

\alpha =\frac{(15)(180)}{8\pi } =\frac{2700}{25.13}=107.4

Hope this helps

5 0
3 years ago
Read 2 more answers
Write an equation for the line parallel to the line 24x+8y=7 through the point (-5, -8).
nikdorinn [45]
Paralelll ines have same slope
in form
ax+by=c
slope=-a/b

point slope form
the equtaiotn of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
so
find slope

24x+8y=7
slope=-24/8=-3

a point is (-5,-8)

m=-3


y-(-8)=-3(x-(-5))
y+8=-3(x+5)
y+8=-3x-15
y=-3x-23
8 0
3 years ago
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