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3 years ago

14

What has a slope of 2/3

1 answer:

Angelina_Jolie [31]3 years ago

4 0

Answer:

y = m x + b.23

Step-by-step explanation:

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I need help figuring out the answer … I’m confused

ss7ja [257]

1st step. Calculate the area of the parallelogram

We can use the following formula:

$A=b\cdot h$

where,

base, b = 9 km

height, h = 5 km

Therefore,

$A=9\cdot5=45$

The area of the parallelogram is 45 km^2

2nd step. Calculate the area of the triangle

Let's use this formula:

$A=\frac{b\cdot h}{2}$

where,

base, b = 6 km

height, h = 3 km

Therefore,

$A=\frac{6\cdot3}{2}=9$

The area of the triangle is 9 km^2

3rd step. calculates the ratio of the area of the parallelogram to the area of the triangle

$r=\frac{A_P}{A_T}=\frac{45}{9}=5$

Answer: the area of the parallelogram is 5 times greater than the area of the triangle.

6 0

8 months 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

2 years ago

Read 2 more answers

Which is true of dependent events?

insens350 [35]

Answer:

Might be

Step-by-step explanation:

A.) The probability of all dependent events can be calculated using the OR formula

5 0

2 years ago

Caroline has 4 green cards, 3 red cars, 3 orange cards, and 1 gold card. if she discards the gold card, what percent of her rema

I am Lyosha [343]

3 reds in the 10 remaining cards
so that is 30% are red

3 0

2 years ago

Help on my recent question plz?

Mashutka [201]

Answer:

Attach it plz or I can't help

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers