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irina1246 [14]
4 years ago
9

What is the solution of [2x 3]=7?

Mathematics
1 answer:
Vsevolod [243]4 years ago
8 0
Well solve for x by simplifying both sides the isolating the variable to get x=5 for 2x-3 or x=2 for 2x+3
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What is the solution to the equation below? square root 2-3x/square root 4x=2
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Answer:

X=4 easy blah blah blah it’s 4. jdjjdjfnfvbdnnfn

5 0
2 years ago
The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π
Gennadij [26K]
(a)

\displaystyle \frac{1}{2} \cdot \int_{\frac{\pi}{3}}^{\frac{5\pi}{3}} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta

or, via symmetry

\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta

____________

(b)

By the chain rule:

\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

x = (3 + 2\cos\theta) \cos \theta \\ &#10;y = (3 + 2\cos\theta) \sin \theta

Differentiating with respect to theta

\begin{aligned}&#10;\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\&#10;&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\&#10;\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}&#10;&= 2/3&#10;\end{aligned}

2/3 is the slope

____________

(c)

"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time

</span><span />\displaystyle\frac{dr}{dt} = -2\sin\theta \frac{d\theta}{dt} \quad \stackrel{\theta = \pi/3}{\implies} \quad 3 = -2\left( \frac{\sqrt{3}}{2}}\right) \frac{d\theta}{dt} \implies \\ \\ \frac{d\theta}{dt} = -\sqrt{3} \text{ radians per second}
5 0
4 years ago
Can someone plz help me find the area for this composite figure plzzzz I beg u
Anarel [89]

S_1 = \frac{a+b}{2}h = \frac{7+9}{2}*5=\frac{18*5}{2}= 9 * 5 = 45~m^2

S_\triangle = \frac{ab}{2} = \frac{5*9}{2} = \frac{45}{2} = 22,5~m^2

S = S_1 + S_\triangle = 45 + 22,5 = 67,5~m^2

Answer: 67,5 m².

5 0
4 years ago
Read 2 more answers
3x/8-1=5/8<br> How do I start to find out the answer to this equation?
Lapatulllka [165]
(3x) •(8) =(8-1) •(5) multiply the numerator of the 1st fraction by the denominator of the second fraction.
7 0
3 years ago
 Jen wants to buy a dress that originally had the price of $33, but now it is on sale 10% off. How much will Jen pay for the dr
valentinak56 [21]

Answer:

$29.70

Step-by-step explanation:

1. First, we have to find how much 10% of 33 is!

  • \frac{10}{100} * 33
  • \frac{330}{100}
  • 3.3

2. Okay, now that we know 3.3 is 10% of 33, we need to subtract 3.3 from 33 to get the amount Jen will pay for the dress.

  • 33 - 3.3
  • 29.7

Therefore, Jen will pay $29.70 for the dress.

8 0
3 years ago
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