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alexandr1967 [171]
3 years ago
11

Solve for a: 1/4a-17=-15

Mathematics
1 answer:
MAXImum [283]3 years ago
4 0
1/4a-17=-15
1/4a=-15+17
1/4a=2
(1/4*4)a=(2*4)
a=8

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Find the distance between A (2,6) and N (5, 10). Round<br> To the nearest tenth
Svetllana [295]

Answer:

5.0 units

Step-by-step explanation:

The distance between two points can be expressed in formula of:

\displaystyle{d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}

Determine:

  • \displaystyle{(x_2,y_2)} is (5,10).
  • \displaystyle{(x_1,y_1)} is (2,6).

Therefore, substitute in the formula to find distance:

\displaystyle{d = \sqrt{\left(5-2\right)^2+\left(10-6\right)^2}}\\\\\displaystyle{d = \sqrt{3^2+4^2}}\\\\\displaystyle{d = \sqrt{9+16}}\\\\\displaystyle{d = \sqrt{25}}\\\\\displaystyle{d = 5}

Therefore, the distance between two points is 5.0 units.

7 0
1 year ago
Two linear functions are combined with addition, and then the same two linear functions are combined by multiplication.
spin [16.1K]

Answer:

Step-by-step explanation:

We can eliminate options C and D quite quickly because factoring either one would have one equation be y = x and the other either y = 72x - 96 or y = 72x + 108. Neither of these added to x will give either option A or B

so that leaves E.

72x² – 204x + 144 = 0

we can find the zeros

x = (204 ± √(204² - 4(72)(144))) / (2(72))

x = (204 ± 12) / 144

x = 1.5

x = 4/3

so the equation has factors

(x - 1.5)(x - 4/3)

and therefore also a factor in their product

x² - (\frac{17}{6})x + 2

which is 1/72 of the original quadratic

so all factors of E are

72(x - 1.5)(x - 4/3)

now we need to distribute factors of 72 among the other two factors so that when we add them together the x¹ terms are either 16 or 17  and the x⁰ terms sum to -12. let "a" and "b" be the factors of 72.

ab = 72

a = 72/b

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1.5a + 4b/3 = 12

1.5(72/b) + 4b/3 = 12

108/b + 4b/3 = 12

 324/b + 4b = 36

   324 + 4b² = 36b

        81 + b² = 9b

b² - 9b + 81 = 0

b = (9 ±√(9² - 4(1)(81))) / 2(1))

b = (9 ± √-243) / 2

as both of these roots are imaginary numbers

there is no valid solution to this problem as posed

IF we allow a slight edit to answer B, we can factor 72 into 9•8

y = 8(x - 1.5)    y = 9(x - 4/3)

y = 8x - 12       y = 9x - 12

so the sum of the two would be 17x - 24

7 0
2 years ago
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tia_tia [17]

Answer:

12 should be 41

Step-by-step explanation:

12) the pattern is an increase by 5 each time. This would mean the 8th term is 40. However, it starts at 1, so you should add 1 to this answer, making it 41. This pattern is y=5x+1 if x is that number in the pattern and y is the answer.

3 0
3 years ago
Read 2 more answers
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Sever21 [200]

Answer:

almost 235.3 hours

Step-by-step explanation:First you should find the speed

how many ipods ca be aaembled during one  hour.

3400 ipods/8 hour=425ipods/hour

100000/425=235.3

3 0
3 years ago
Read 2 more answers
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