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3 years ago

I need help pretty please

Mathematics

1 answer:

ira [324]3 years ago

3 0

Answer:

Step-by-step explanation:

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HELPPPP MEEEEE PLEASEEEEEEE

julsineya [31]

Y=4-7x
because it equals = -7
and
y= -5/4x + 2
because it equals = -5/4

8 0

2 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,

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

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

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

2 years ago

Read 2 more answers

Question 30(Multiple Choice Worth 1 points) (01.01) Given the equation 2x − 5 = 8, which order of operations completely solves f

xeze [42]

Add five to each side, then divide each side by 2. you will get 6.5 in the end

5 0

3 years ago

Solve the Inequality for x –8x + 16 > –72

erastova [34]

Answer:

Inequality Form:

x< 11

Interval Notation:

( − ∞ , 11 )

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

4 0

2 years ago

Green Fencing Company will install the fence

LUCKY_DIMON [66]

The company would charge $837.50 to build the fence.

Installing a fence would cost $62.50 per hour.

It will take 13²/₅ hours to install this fence.

The cost would be:

= Cost per hour x Number of hours taken

Number of hours it would take should be converted to improper fraction to be multiplied:

13²/₅ = 67/5 hours

Cost is:

= 62.50 x 67/5

= $837.50

In conclusion, it would cost $837.50 to build the fence.

Find out more at brainly.com/question/14652608.

3 0

2 years ago