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Damm [24]
3 years ago
9

Write the equation of the line that passes through the given point and is parallel to the given line.

Mathematics
1 answer:
romanna [79]3 years ago
3 0

<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>

Answer:

y = \frac{1}{2} x - \frac{5}{2}

Step-by-step explanation:

1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.

2) We know that the slope has to be parallel to the given line, y = \frac{1}{2}x - 8. Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be \frac{1}{2}.

3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:

(y- (-4))  = \frac{1}{2} (x - (-3))\\y + 4 = \frac{1}{2} (x + 3))\\y + 4 = \frac{1}{2}x+ \frac{3}{2} \\y = \frac{1}{2}x + \frac{3}{2} - 4\\y =  \frac{1}{2}x + \frac{3}{2} - \frac{8}{2} \\y = \frac{1}{2}x - \frac{5}{2}

Therefore, y = \frac{1}{2}x - \frac{5}{2} is our answer. If you have any questions, please do not hesitate to ask!

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Tori is cutting fabric squares to make a quilt. Her squares on average are 5 in. on each side with a standard deviation of 0.1 i
lapo4ka [179]

Answer:

\approx 68\%

Step-by-step explanation:

For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence \implies \boxed{68\%}.

*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.

5 0
3 years ago
Read 2 more answers
There are 62 lobsters in one line, 60 lobsters in another line, 56 lobsters in the third line, and 59 lobsters in the last line.
faust18 [17]

Answer:

helo

Step-by-step explanation:

7 0
3 years ago
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Given the recursive formula for an arithmetic sequence find the common difference and the 52nd term
Mice21 [21]

Answer:

              Common difference(d)                  a_{52}

(21)                   -10                                          -548

(22)                   -7                                          -323

(23)                    10                                           547

(24)                   -100                                       -5118

Step-by-step explanation:

Let the common difference be denoted by 'd'.

Also the nth difference of an arithmetic sequence is given by: a_{n}=a_{1}+(n-1)\times d

(21)

We are given a recursive formula as:

a_{n}=a_{n-1}-10

The first term is given by:

a_{1}=-38

The common difference for an arithmetic sequence is given by:

a_{n}-a_{n-1}

Hence, here we have the common difference as:

d=-10

The nth term of an arithmetic sequence is given by:

a_{n}=a_{1}+(n-1)\times d

Here a_{1}=-38 and d=-10.

Hence, a_{52}=-38+(52-1)\times (-10)

Hence, a_{52}=-548

(22)

a_{n}=a_{n-1}-7

a_{1}=34

The common difference for an arithmetic sequence is given by:

a_{n}-a_{n-1}

Hence, here we have the common difference as:

d=-7

Here a_{1}=34 and d=-7.

Hence, a_{52}=34+(52-1)\times (-7)

Hence, a_{52}=-323

(23)

a_{n}=a_{n-1}+10

a_{1}=37

The common difference for an arithmetic sequence is given by:

a_{n}-a_{n-1}

Hence, here we have the common difference as:

d=10

Here a_{1}=37 and d=10.

Hence, a_{52}=37+(52-1)\times (10)

Hence, a_{52}=547

(24)

a_{n}=a_{n-1}-100

a_{1}=-18

The common difference for an arithmetic sequence is given by:

a_{n}-a_{n-1}

Hence, here we have the common difference as:

d=-100

Here a_{1}=-18 and d=-100.

Hence, a_{52}=-18+(52-1)\times (-100)

Hence, a_{52}=-5118


5 0
4 years ago
Help with math question <br> thanks so much
liubo4ka [24]
I'm not for sure but I think that it would be the first option <span />
8 0
3 years ago
IZ) Samantha wants to determine the height of a flagpole at school. Her eye level is 4.6 feet from the ground and
makvit [3.9K]

Answer:

69 feet.

Step-by-step explanation:

See the attached diagram.

AB is the height of the flagpole and DE is the height of Samantha.  

Now, ∠ CEB = 68°

Now, AC = DE = 4.6 feet, and CE = AD = 26 feet {Given}

Then, \tan 68 = \frac{CB}{CE} = \frac{CB}{26}

⇒ CB = 26 tan 68 = 64.35 feet.

Now, height of the flagpole is AB = AC + CB = 4.6 + 64.35 = 68.95 feet ≈ 69 feet. (Answer) (Approximate}

5 0
4 years ago
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