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frosja888 [35]
2 years ago
6

Complete the square x^2+45=-14x

Mathematics
1 answer:
Rom4ik [11]2 years ago
8 0

2
+
4
5
=
−
1
4

x
2
+
45
=
−
14
x
x2+45=−14x

2
+
4
5
−
−
1
4

=
0
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Find the surface area of the triangular prism (above) using its net (below).
vovangra [49]

Answer:

96 cm^2 (centimetres squared)

Step-by-step explanation:

(7 x 3) x 2 = 42

6x2 / 2 x 2 = 12

6 x 7 = 42

42 + 12 + 42 = 96 cm^2

3 0
2 years ago
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There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop
Sonbull [250]

Answer:

24 people

Step-by-step explanation:

((The numbers are up there, so I am not going to define each variable.))

For starters, there is no overlap between the double facilities groups, except the triple facility users, so:

19 + 9 + 16 - 4 = 40 people

Since there is overlap between single and double groups, you will need to subtract, so:

Gym: 73 - 19 - 16 = 38

Pool: 59 - 19 - 9 = 31

Track: 31 - 9 - 16 = 6

Total for 1 facility: 38 + 31 + 6 - 4 = 71 people

((Minus 4 because the 4 triple facility users overlap the double facility users (problem is in layers: layer 1 minus layer 2, then minus layer 3).))

Next, add the totals:

71 + 40 = 111 people (using facilities)

135 - 111 = 24 people (who didn't use any)

(((I'm not 100% sure on this answer, so if someone could check my work, that would be much appreciated.)))

4 0
3 years ago
What is the slope of this line ?
lidiya [134]

Answer:

The slope of this line is 7/4 or 1.74 in decimal form.

m = 7/4 OR m = 1.75

Step-by-step explanation:

slope = y^2 - y^1 / x^2 - x^1

Let's pick any two points from the graph: (-1, -3) and (3, 4)

m = y^2 - y^1 / x^2 - x^1

m = 4 - (-3) / 3 - (-1)

m = 4 + 3 / 3 + 1

m = 7/4

m = 1.75

6 0
3 years ago
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Simplify by combining like terms: 9x - 3y -5x + 2y -x + 2
UNO [17]

Answer:

3x-y=-2

Step-by-step explanation:

9x-5x-x-3y+2y=-2

3x-y=-2

7 0
2 years ago
At 4:00p.m the temperature was 90F after this point the temperature dropped 1.5F per hour until sunrise the next morning write a
irina [24]

Answer:

90t-21t=69t

Step-by-step explanation:

4:00pm to 6:00 am is 14 hours. 14 x 1.5 is in fact 21 which means the temperature dropped 21 degrees in those 14 hours.

3 0
3 years ago
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