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LekaFEV [45]
3 years ago
7

What is an equation of the line that is parallel to y=9−5x and passes through (0, 8) ?

Mathematics
1 answer:
TEA [102]3 years ago
8 0

Answer:

y = -5x Y8  

Step-by-step explanation:

Parallel lines have the same slope.

Your function is

y = 9 − 5x = -5x+ 9

slope = -5

The parallel line

The line must have slope = -5 and include (0, 8), so

8 = -5×(0) + b

8 = 0 + b

b = 8

The equation for the parallel line is

y = -5x + 8

In the diagram below, the red line is the graph of y = 9 -5x.

The parallel blue line is the graph of y = -5x + 8.

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What is 3 ln 3 - ln 9 expressed as a single natural logarithm? ln 3 ln 6 ln 18 ln 27
mariarad [96]

Answer:

\ln(3)

Step-by-step explanation:

The given expresion is

3 \ln(3)  -   \ln(9)

Recall that:

n \ln(a)  =  \ln( {a}^{n} )

We apply this property to get:

\ln( {3}^{3} )  -   \ln(9)

\ln(27)  -  \ln(9)

We apply the quotient rule to get

\ln( \frac{27}{9} )

=  \ln(3)

The first choice us correct

8 0
3 years ago
Read 2 more answers
Administrators at a local high school are organizing desks in the cafeteria for the junior students to use while taking a practi
ICE Princess25 [194]

Answer:

correct choice is B

Step-by-step explanation:

If d represents the number of desks in each row and the administrators want there to be 13 less rows than the number d of desks in each row, then the number of rows is d-13.

The total number of desks in all rows is

d\cdot (d-13)=d^2-13d.

Due to space limitations, there should be fewer than 264 students in the cafeteria. Therefore,

d^2-13d

8 0
3 years ago
Can you help me please
user100 [1]

The answer to this question is 10. The working out is shown in the image attached.

*** Sorry instead of writing 170 I wrote 270 for the big angle.. other than that it's correct

or another way to solve this is....

we know that a straight line is 180 degrees and the angle APD is 170 all we need to do is subtract 170 from 180 to get the answer of DPB

Hope this helped

3 0
3 years ago
How are 2-D and 3-D objects related to each other in real world​
stich3 [128]

Answer:

You can see 2-D flat shapes on the faces of 3-D objects.

For example: You go to the store and you see a box,

the box has 6 faces. The bottom of the box is one of It's faces which is 2-D.

Step-by-step explanation:

8 0
3 years ago
Henry has a wooden chest that has a length of 312 ft, a width of 114 ft and a height of 2 ft. Henry sands the entire outside of
timurjin [86]
The surface area of a rectangular prism is:

A=2(xy+xz+yz)  where x,y, and z are the dimensions, in this case:

A=2(312*114+312*2+114*2)

A=2(35568+624+228)

A=2(36420)

A=72840 ft^2
4 0
3 years ago
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