Ask question

Ask question

All categories

3 years ago

10

Evaluate the expression when a = 35 and b = 11.

1 answer:

kow [346]3 years ago

6 0

Answer:

a = 35 and b=11 if u add it's 46 if u subtract it's 24

You might be interested in

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

Pentagon P and pentagon Q, shown above, are congruent

worty [1.4K]

Flip about the y-axis, move it up 7 spaces.

7 0

2 years ago

3x2 = 81<br> b. (x - 1)(x + 1)-9 = 5x<br> C. X - 9x + 10 = 32<br> d. 6x(x - 9) = 29

irakobra [83]

Answer:

a. 3x^2 = 81

x^2 = 27

$x = 3\sqrt{3} or -3\sqrt{3}$

Step-by-step explanation:

6 0

3 years ago

If the graphs of linear equations in a system are concurrent, having the same slope and the same y-intercept, what does that mea

Vlad [161]

It means that the solution to the system of a chromogen is the Y-intercept

3 0

3 years ago

The price of an item has been reduced by 75%. The original price was 35

olasank [31]

Answer:

75% of 35 is 8.75

Step-by-step explanation:

5 0

3 years ago