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Klio2033 [76]
3 years ago
7

Find the equation of the line that passes through both (5,1) and (8,-2)

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

Let f(x) = ax+b be the line that passes through both points.

We know that f(5) = 1 and f(8) = -2. So:

\begin{cases}5a+b = 1 \\ 8a+b = -2\end{cases}

Solving the system, we get that a= -1 and b = 6.

So the line is equal to f(x) = 6-x.

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Find the surface area of the rectangular box below
REY [17]

Answer:

SA = 904 in.²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

  • l = 36 in.
  • w = 10 in.
  • h = 2 in.

Substitute the given values and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(36)(10) + 2(10)(2) + 2(2)(36)

SA = 2(360) + 2(20) + 2(72)

SA = 720 + 40 + 144

SA = 904 in.²

Hope this helps!

5 0
2 years ago
A trade magazine routinely checks the​ drive-through service times of​ fast-food restaurants. Upper AA 9595​% confidence interva
Butoxors [25]

Answer:

One can be 95% confident that the drive-through service times of​ fast-food chain is between 169 seconds and 172 seconds.

Step-by-step explanation:

The confidence interval gives a range of value for the population mean or parameter, which is calculated from the statistic value of the data (that is sample statistic). This range gives the interval which is associated with a certain level of confidence for which the interval will contain the true value of the unknown parameter (true value). In the scenario above, the associated confidence level is 95%.Hence, we can be 95% confident that the true value will be continued with the interval (169 ; 172)

6 0
3 years ago
Please please help!!!!!!
Vlad1618 [11]

Answer:

5/2

Step-by-step explanation:

duh

6 0
3 years ago
Read 2 more answers
What is the sum of a geometric sequence 1, 3, 9, ... if there are 12 terms?
attashe74 [19]
We know that
a1=1
a2=3
a3=9
a2/a1=3/1----> 3
a3/a2=9/3----> 3
<span>common ration r is equal to 3
number of terms n  is 12

The </span><span>Sum of geometric series is given by the formula
</span>Sum=a1*[1-r<span>^n]/[1-r]
</span>Sum=1*[1-3^12]/[1-3]-----> Sum=[1-3^12]/[1-3]----> [3^12-1]/[3-1]
<span>Sum=531440/2-----> 265720

the answer is
265720



</span>
4 0
3 years ago
What transformation maps the preimage (red) onto the image (blue)?
Dominik [7]

Answer:

Rotate counter clockwise about the center point 180 degrees

Step-by-step explanation:

You can use transformations to preserve shape and size but move a shape or change its position. Transformations include:

  • reflection - a flip across an axis
  • rotation - a turn around a point
  • translation - a slide a specific distance and direction

To map the red into the blue, you can rotate it counter clockwise about the center point which the red and blue shapes share 180 degrees. It will land exactly on the red.

8 0
3 years ago
Read 2 more answers
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