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andriy [413]
3 years ago
8

sewer lines in a system of equations with no solution have slopes that must be the same or different ?​

Mathematics
1 answer:
Paul [167]3 years ago
3 0

Answer:

Same slopes

Step-by-step explanation:

If the lines don't have the exact same slope then they will intersect at a point.

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5. Henry hit 3 more than half as many home runs as Jack hit last season. Henry hit a total of 8 home runs. a. Make Sense and Per
Evgesh-ka [11]

Answer:

a.  3+\frac{x}{2} =8

b.  x = 10

Step-by-step explanation:

a.  The number of home runs hit by Jack last season = x

It is given that Henry hit 3 more than half as many home runs as Jack hit.

Half of the runs hit by Jack = \frac{x}{2}

3 more than half the runs =  3+\frac{x}{2}

So, the number of home runs hit by Henry =  3+\frac{x}{2}

But, it is given that Henry hit a total of 8 runs.

Therefore,  3+\frac{x}{2} =8

b.   3+\frac{x}{2} =8

Subtract 3 from both sides.

\frac{x}{2} =8-3

= 5

x = 5 × 2

= 10

Hence, Jack hit 10 runs in the last season.

6 0
4 years ago
Determine all critical points for the following function. f(x)=x2−14x+1
melomori [17]

9514 1404 393

Answer:

  (x, y) = (7, -48)

Step-by-step explanation:

A critical point is where the slope is zero or undefined. A polynomial function will never have any points where the slope is undefined.

The slope is zero were f'(x) = 0.

  f'(x) = 2x -14

  0 = 2x -14

  0 = x -7

  7 = x

  f(7) = 49 -98 +1 = -48

The critical point is (7, -48).

4 0
3 years ago
How does the human body naturally create negative ions?
Mariulka [41]
Negative ions are oxygen atoms charged with an extra electron. They are created in nature by the effects of water, air, sunlight and the Earth’s inherent radiation. We dont really create them in the human body.
8 0
3 years ago
An equilateral triangle has an altitude of 21 inches. What is the side
VladimirAG [237]

Answer:

7\sqrt{3}

Step-by-step explanation:

the altitude creates two congruent 30-60-90° triangles

the ratio of the sides in a 30-60-90°, respectively, are 1 : \sqrt{3} : 2

therefore we can set up a proportion to find the side length:

let 'x' = side length of equilateral Δ

\sqrt{3} / 1 = 21 / x

cross-multiply:

\sqrt{3}x = 21

x = 21 / \sqrt{3}

rationalize the denominator by multiplying numerator and denominator by \sqrt{3}

21\sqrt{3} / \sqrt{3}·\sqrt{3} = 21\sqrt{3} / 3 or 7\sqrt{3}

5 0
3 years ago
Cuando luvindos e concolor em Pleso en el lado derecho hoscolo una mancha Hacieron venir alchio que lo havia enfofelada Yel dijo
malfutka [58]

Answer:

Step-by-step explanation:

5 0
3 years ago
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