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Likurg_2 [28]
3 years ago
11

Which is the graph of y-3=-2/3(x+6)

Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer: it's the first option.

Step-by-step explanation: i just graphed it out, and it showed as the y-intercept was -1.5, and the x-intercept was -1.

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Is the line through points P(0, 1) and Q(5, 0) parallel to the line through points R(–4, 3) and S(–5, 4)? Explain.
ale4655 [162]

Answer:

No

Step-by-step explanation:

Let's find the slope of both lines and then compare these slopes:

From (-4,3) to (-5,4) entails a decrease of -1 in x and an increase of 1 in y.  Thus, the slope is m = rise / run = 1/(-1) = -1.

From (0,1) to (5,0) entails an increase of 5 in x and a decrease of 1 in y.  The slope here is m = rise / run = -1/5.

For these lines to be parallel, their slopes must be the same.  That is not the case here, so NO, the lines are not parallel.



8 0
3 years ago
The burning time of a very large candle is normally distributed with mean of 2500 hours and standard deviation of 20 hours. Find
dezoksy [38]

Answer: C.-1.5

Step-by-step explanation:

Given: The burning time of a very large candle is normally distributed with mean(\mu) of 2500 hours and standard deviation(\sigma) of 20 hours.

Let X be a random variable that represent the burning time of a very large candle.

Formula: Z=\dfrac{X-\mu}{\sigma}

For X = 2470

Z=\dfrac{2470-2500}{20}\\\\\Rightarrow\ Z=\dfrac{-30}{20}\\\\\Rightarrow\ Z=\dfrac{-3}{2}\\\\\Rightarrow\ Z=-1.5

So, the z-score they corresponds to a lifespan of 2470 hours. =-1.5

Hence, the correct option is C.-1.5.

7 0
3 years ago
Which construction must you do to construct a triangle given the lengths of two sides and the measure of the angle between the t
Marina86 [1]
The goal is to construct a triangle. If you choose A) you will only have two lines connecting, with an angle of 90°. If you choose B) you cannot have a triangle also with 2 lines only. Neither D). So choose C) construct an angle congruent to a given one-- connect the lines and produce a perfect triangle.
5 0
4 years ago
Find the length of the curve. R(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4
arsen [322]

we are given

R(t)=cos(8t)i+sin(8t)j+8ln(cos(t))k

now, we can find x , y and z components

x=cos(8t),y=sin(8t),z=8ln(cos(t))

Arc length calculation:

we can use formula

L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt

x'=-8sin(8t),y=8cos(8t),z=-8tan(t)

now, we can plug these values

L=\int _0^{\frac{\pi }{4}}\sqrt{(-8sin(8t))^2+(8cos(8t))^2+(-8tan(t))^2} dt

now, we can simplify it

L=\int _0^{\frac{\pi }{4}}\sqrt{64+64tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{1+tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{sec^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8sec(t) dt

now, we can solve integral

\int \:8\sec \left(t\right)dt

=8\ln \left|\tan \left(t\right)+\sec \left(t\right)\right|

now, we can plug bounds

and we get

=8\ln \left(\sqrt{2}+1\right)-0

so,

L=8\ln \left(1+\sqrt{2}\right)..............Answer

5 0
3 years ago
Use the drop-down menus to complete the statements below based on the number line diagram.
Nezavi [6.7K]

Answer:

i cant see the picture its just a black screen i would love to help

6 0
3 years ago
Read 2 more answers
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