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yaroslaw [1]
3 years ago
14

Part B

Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Answer:

Step-by-step explanation:

the slope of line n is also -3 as it is parallel to m

The answer is A

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The graph of y = -5x + 1
Colt1911 [192]

y = -5x + 1

[y = mx + b     "m" is the slope, "b" is the y-intercept (the y value when x = 0)]

So your slope is -5, and your y-intercept is 1 or (0,1)


Slope = \frac{rise}{run}

Rise is the number of units you go up(+) or down(-).

Run is the number of units you go to the right.


Since your slope is -5 or \frac{-5}{1}, you go down 5 units, and to the right 1 unit.

6 0
3 years ago
The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the area of printed material on th
12345 [234]

Answer:

the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

Step-by-step explanation:

From the given question.

Let p be the length of the of the printed material

Let q be the width of the of the printed material

Therefore pq = 2400 cm ²

q = \dfrac{2400 \ cm^2}{p}

To find the dimensions of the poster; we have:

the length of the poster to be p+30 and the width to be \dfrac{2400 \ cm^2}{p} + 20

The area of the printed material can now be:  A = (p+30)(\dfrac{2400 }{p} + 20)

=2400 +20 p +\dfrac{72000}{p}+600

Let differentiate with respect to p; we have

\dfrac{dA}{dp}= 20 - \dfrac{72000}{p^3}

Also;

\dfrac{d^2A}{dp^2}= \dfrac{144000}{p^3}

For the smallest area \dfrac{dA}{dp }=0

20 - \dfrac{72000}{p^2}=0

p^2 = \dfrac{72000}{20}

p² = 3600

p =√3600

p = 60

Since p = 60 ; replace p = 60 in the expression  q = \dfrac{2400 \ cm^2}{p}   to solve for q;

q = \dfrac{2400 \ cm^2}{p}

q = \dfrac{2400 \ cm^2}{60}

q = 40

Thus; the printed material has the length of 60 cm and the width of 40cm

the length of the poster = p+30 = 60 +30 = 90 cm

the width of the poster = \dfrac{2400 \ cm^2}{p} + 20 = \dfrac{2400 \ cm^2}{60} + 20  = 40 + 20 = 60

Hence; the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

4 0
3 years ago
Which proportions show that the triangles are not similar?
jasenka [17]

Answer:

AC and DF

Step-by-step explanation:

We can see that the triangles have a scale factor of 3.

1 * 3 = 3 (AB and DE)

2 * 3 = 6 (BC and EF)

However...

2 * 3 = 6 not 7 (AC and DF)

3 0
2 years ago
9. A retaining wall on the playground is
soldi70 [24.7K]
Dghfjgjghcjjfjfjgjgjcjxjxjf
6 0
3 years ago
GIVING BRAINLIEST!!!!!!!!<br><br> 1/2 x(6X4)+3+2<br><br> SHOW UR WORK PLS
mezya [45]

Answer: 1/2 times 6x equals 3x  and then you do 1/2 times 4 and that equals 2 then multiply the 3 and 4 in the parenthesis and that is 12 then add 12 to the 3 and 2 and your answer is 17.

Step-by-step explanation:

7 0
2 years ago
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