Can anyone me solve these math problems?

Step-by-step explanation:

1. The Pythagorean theorem applies, so the sum of the squares of the legs is equal to the square of the hypotenuse.

  x² + (x+3)² = (√29)²

  2x² +6x +9 = 29 . . . . . . eliminate parentheses, collect terms

  2x² +6x -20 = 0 . . . . . . subtract 29

  x² +3x -10 = 0  . . . . . . . . divide by 2

  (x +5)(x -2) = 0 . . . . . . . . factor

x = -5 or +2 . . . . . . . . . . . . values that make the factors zero (-5 is extraneous)

The value of x is 2.

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2. Even though the figure is drawn incorrectly the Pythagorean theorem still applies. (The second attachment shows the circle in the right place. The figure is not to scale.)

  14² + r² = (r+2)²

  196 + r² = r² +4r +4 . . . . eliminate parentheses

  192 = 4r . . . . . . . . . . . . . .subtract r²+4 from both sides

  48 = r . . . . . . . . . . . . . . . . divide by 4

The value of r is 48.

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3. You will recognize that the triangle involving the distance above the ground, the distance along the ground, and the straight-line bullet path is an isosceles right triangle. So, the hypotenuse is √2 times the length of either leg. The path length of the bullet is ...

  (2500 ft)√2 ≈ 3536 ft

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4. see below for the diagram

The length to the terminal point is found using the Pythagorean theorem:

  d = √(3² +(-1)²) = √10

The distance from the origin to the terminal point is √10 ≈ 3.16.

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5. Angles "a" and "8a" total 90°, so we have ...

  a + 8a = 90°

  9a = 90° . . . . . . . . collect terms

  a = 10° . . . . . . . . . . divide by 9

The value of a is 10°.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

answer

a the answer hopes this

step-by-step explanation: