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lara [203]
3 years ago
7

Which is the equation of the line with slope 5 that contains point (-2, -3)?

Mathematics
1 answer:
AlekseyPX3 years ago
6 0

D po answer ko dyan pero d ko alam kong Tama Yan answer ko

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What Is the answer to 1/6 + 2/3<br>​
arlik [135]

Answer:

5/6

Step-by-step explanation:

When adding fractions, you must ensure the denominator is the same in both fractions.

In this case, the 3 can be multiplied by 2 to equal 6, the other denominator.

When multiplying fractions to create a common denominator, you must multiply the both the numerator and the denominator by the same value, to ensure that the fraction is still equivalent.

2/3 × 2/2 = (2×2)/(3×2) = 4/6

Replace 2/3 with its equivalent 4/6.

Now you will add the numerators together.

1/6 + 4/6 = (1+4)/6 = 5/6

Your final answer is 5/6

3 0
3 years ago
Read 2 more answers
Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:
ryzh [129]

First find the critical points of <em>f</em> :

f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7

\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1

\dfrac{\partial f}{\partial y}=6y=0\implies y=0

so the point (1, 0) is the only critical point, at which we have

f(1,0)=-7

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t

Find the critical points of <em>g</em> :

\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0

\implies\sin t=0\text{ OR }1+5\cos t=0

\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi

where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at

t=0\implies f(10,0)=155

t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299

t=\pi\implies f(-10,0)=235

t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299

So <em>f</em> has a minimum of -7 and a maximum of 299.

4 0
3 years ago
Find the missing side lengths.
USPshnik [31]
Answer: A, because it is a 30, 60, 90 triangle. To get the 34 they had to times the number by 2 so you divide that by 2 and it gives you 17 then you have the square root of 3* 17, that doesn’t mathematically work so it stays as 17*the square root of 3
6 0
3 years ago
HELP ASSAPP WITH THIS QUESTION PLEASE
34kurt
The measurement of <ABC is 50 degrees
4 0
4 years ago
Read 2 more answers
GEOMETRY PROBLEM THAT IS SOO HARD FOR ME <br> PLEASE HELP ME!!!!
12345 [234]
59.5 feet
Work:
17/10 = x/35
10x=595
59.5
3 0
3 years ago
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