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3 years ago

I’m confused on this explain

Mathematics

1 answer:

romanna [79]3 years ago

6 0

Triangles BAD and BCD are congruent by the HL theorem. That is, they have identical length hypotenuses (BD) and one leg is also identical in length to that in the other triangle. (AD ≅ CD)

Since the triangles are congruent, corresponding angles are equal, so ∠CBD = ∠ABD = 28°. The angle you are interested in is the sum of these two angles,

... ∠ABC = 28°+28° = 56°

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Can anybody help plzz?? 65 points

Yakvenalex [24]

Answer:

$\frac{dy}{dx} =\frac{-8}{x^2} +2$

$\frac{d^2y}{dx^2} =\frac{16}{x^3}$

Stationary Points: See below.

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Calculus

Derivative Notation dy/dx

Derivative of a Constant equals 0.

Stationary Points are where the derivative is equal to 0.

1st Derivative Test - Tells us if the function f(x) has relative max or mins. Critical Numbers occur when f'(x) = 0 or f'(x) = undef
2nd Derivative Test - Tells us the function f(x)'s concavity behavior. Possible Points of Inflection/Points of Inflection occur when f"(x) = 0 or f"(x) = undef

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Quotient Rule: $\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

$f(x)=\frac{8}{x} +2x$

Step 2: Find 1st Derivative (dy/dx)

Quotient Rule [Basic Power]: $f'(x)=\frac{0(x)-1(8)}{x^2} +2x$
Simplify: $f'(x)=\frac{-8}{x^2} +2x$
Basic Power Rule: $f'(x)=\frac{-8}{x^2} +1 \cdot 2x^{1-1}$
Simplify: $f'(x)=\frac{-8}{x^2} +2$

Step 3: 1st Derivative Test

Set 1st Derivative equal to 0: $0=\frac{-8}{x^2} +2$
Subtract 2 on both sides: $-2=\frac{-8}{x^2}$
Multiply x² on both sides: $-2x^2=-8$
Divide -2 on both sides: $x^2=4$
Square root both sides: $x= \pm 2$

Our Critical Points (stationary points for rel max/min) are -2 and 2.

Step 4: Find 2nd Derivative (d²y/dx²)

Define: $f'(x)=\frac{-8}{x^2} +2$
Quotient Rule [Basic Power]: $f''(x)=\frac{0(x^2)-2x(-8)}{(x^2)^2} +2$
Simplify: $f''(x)=\frac{16}{x^3} +2$
Basic Power Rule: $f''(x)=\frac{16}{x^3}$

Step 5: 2nd Derivative Test

Set 2nd Derivative equal to 0: $0=\frac{16}{x^3}$
Solve for x: $x = 0$

Our Possible Point of Inflection (stationary points for concavity) is 0.

Step 6: Find coordinates

Plug in the C.N and P.P.I into f(x) to find coordinate points.

x = -2

Substitute: $f(-2)=\frac{8}{-2} +2(-2)$
Divide/Multiply: $f(-2)=-4-4$
Subtract: $f(-2)=-8$

x = 2

Substitute: $f(2)=\frac{8}{2} +2(2)$
Divide/Multiply: $f(2)=4 +4$
Add: $f(2)=8$

x = 0

Substitute: $f(0)=\frac{8}{0} +2(0)$
Evaluate: $f(0)=\text{unde} \text{fined}$

Step 7: Identify Behavior

See Attachment.

Point (-2, -8) is a relative max because f'(x) changes signs from + to -.

Point (2, 8) is a relative min because f'(x) changes signs from - to +.

When x = 0, there is a concavity change because f"(x) changes signs from - to +.

3 0

3 years ago

WILL GIVE BRAINLIEST!!!

Free_Kalibri [48]

The answer is B)75pounds

4 0

2 years ago

What is the value of the expression below when x = 3? 10x2 – 7x + 10

QveST [7]

Answer:

Step-by-step explanation:

To find the value of $10x^2 – 7x + 10$ , when x = 3, simply plug in the value of x in the expression and solve as follows:

$10(3)^2 – 7(3) + 10$

$10(9) – 21 + 10$

$90 – 21 + 10$

$79$

The value of $10x^2 – 7x + 10$ , when x = 3, is 79

5 0

3 years ago

Solve for the value of c.

Ipatiy [6.2K]

Answer:

2c-4+5c+3 = 90

7c-1 = 90

7c = 91

c = 13

7 0

2 years ago

How many more pennies were produced that year than half year

Yakvenalex [24]

Think I know why don't you do the math cadence man all you said is "oh how many more pennies are produced in half a year really not even giving us any numbers it doesn't matter what device were on we can always look up the answer online your lucky

6 0

3 years ago