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nikdorinn [45]
3 years ago
12

Which has the larger area, a square with sides that are x +1 units long or a rectangle with a length of x +2 units and a width o

f x units?
A. Square
B. Rectangle
Mathematics
1 answer:
swat323 years ago
6 0

Answer:

A. Square

Explanation:

The square with sides: x+1

Has an area of: (x+1)^2

The rectangle with sides: x+2 and x

Has an area of: x(x+2)

So we simplify the square: (x+1).(x+1)= x^2+2x+1

Simplifying the rectangle: x^2+2x

Therefore the square area is larger by one unit.

Hope you get it!

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12) Which ordered pair is the solution of the equation 5x + y = -23?
Luda [366]

Answer:

The answer would be A.

Step-by-step explanation:

5 (-5)+ (2) = -23

-25 +2=-23

-23=-23!

4 0
4 years ago
Save me the headache
maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1

or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi

\implies x=n\pi\text{ or }\dfrac\pi4+n\pi

and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi

\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi

Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

5 0
3 years ago
Read 2 more answers
Jon reads 25 pages in 30 minutes. If Jon reads 200 pages at this same rate, how long will it take him?
kupik [55]
It will take Jon 240 minutes or 4 hours.
5 0
3 years ago
*<br> 1. Find the value of the discriminant.<br> 3x2 - 6x + 3 = 0<br> O 29<br> 0 -18<br> OO<br> O 23
charle [14.2K]

0 -18 is the answer to your question

8 0
3 years ago
Algebra need some assistance
d1i1m1o1n [39]
X=0,2,3/8
That is what x equal i don’t know the question but I hope this help
5 0
3 years ago
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