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erastova [34]
3 years ago
13

For what value of do the expressions 2+3 and 3−6 have the same value?

a1" title="x" alt="x" align="absmiddle" class="latex-formula"> =
Mathematics
1 answer:
ladessa [460]3 years ago
4 0

Answer:

x = 9

Step-by-step explanation:

The expressions are 2+3 and 3−6.

We need to find the value of x such that the expressions 2+3 and 3−6  have same value.

2+3 = 3−6

Taking like terms together,

3+6 = 3x-2x

⇒ x = 9

So, the value of x is 9 such that 2+3 and 3−6  have same value.

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Alan makes a fruit salad using strawberries and blueberries. He uses 5 cups of strawberries for every 3 cups of blueberries. Whi
fredd [130]

Answer:

C. 5/8 cup

Step-by-step explanation:

  1. 5 + 3 = 8
  2. Strawberries/total amount = 5/8

I hope this helps!

4 0
3 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
What is the answer ti<br> Y-7-x<br> 2x-y=8
TEA [102]
<span>2x+y=8
2x+x-7=8
3x=15

x=5 

y=5-7
y=-2</span>
3 0
3 years ago
I'll give u a brainliest to answer this&lt;3
Andre45 [30]

Answer:

762

Step-by-step explanation:

3 0
3 years ago
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The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.
ziro4ka [17]

Answer:

-2

Step-by-step explanation:

8 0
2 years ago
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