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3 years ago

320÷b∙20 and 320÷(b∙20) for b=4

Mathematics

1 answer:

blsea [12.9K]3 years ago

6 0

Answer:

Step-by-4vttbrbwtetbb4tbtb44tny4ny4nyn4tbryn4y

step explanation:

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Find the complementary angle of the following 1)69°. 2)39°. 3)17°. 4)40°

Luden [163]

Answer:

1.)21°

2.)51°

3.)73°

4.)50°

Step-by-step explanation:

1.) 90° - 69°

= 21°

2.) 90° - 39°

= 51°

3.) 90° - 17°

= 73°

4.) 90° - 40°

= 50°

3 0

3 years ago

A. f(x) = 2|2| is differentiable overf X B. g(x) = 2 + || is differentiable over -f

kramer

Recall the definition of absolute value:

• If x ≥ 0, then |x| = x

• If x < 0, then |x| = -x

(a) Splitting up f(x) = x |x| into similar cases, you have

• f(x) = x ² if x ≥ 0

• f(x) = -x ² if x < 0

Differentiating f, you get

• f '(x) = 2x if x > 0 (note the strict inequality now)

• f '(x) = -2x if x < 0

To get the derivative at x = 0, notice that f '(x) approaches 0 from either side, so f '(x) = 0 if x = 0.

The derivative exists on its entire domain, so f(x) is differentiable everywhere, i.e. over the interval (-∞, ∞).

(b) Similarly splitting up g(x) = x + |x| gives

• g(x) = 2x if x ≥ 0

• g(x) = 0 if x < 0

Differentiating gives

• g'(x) = 2 if x > 0

• g'(x) = 0 if x < 0

but this time the limits of g'(x) as x approaches 0 from either side do not match (the limit from the left is 0 while the limit from the right is 2), so g(x) is differentiable everywhere except x = 0, i.e. over the interval (-∞, 0) ∪ (0, ∞).

5 0

3 years ago

Please help me if you are thankful for everything here is the picture

mart [117]

Answer:

The value of x in centimeters is 22.5 cm

Step-by-step explanation:

The corresponding sides of the similar triangles are proportion which means have equal ratios

∵ Δ ABC is similar to Δ FGH

∵ AB and FG are corresponding sides

∵ BC and GH are corresponding sides

∵ AC and FH are corresponding sides