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2 years ago

What is the x-intercept of the line with this equation

Mathematics

1 answer:

Deffense [45]2 years ago

3 0

Answer:

-9

Step-by-step explanation:

set y to 0

-2x + 1/2y = 18

-2x +1/2(0)=18

-2x / -2 = 18 /-2

x = -9

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anzhelika [568]

10×sine of 60 degrees=8.66 which is the same as B. you can check by finding the square root of 3 and then multiplying that by 5.

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2 years ago

I need some help please

emmainna [20.7K]

Answer:

(4,0)

Step-by-step explanation:

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3 years ago

Read 2 more answers

Implicit differentiation Please help

Anvisha [2.4K]

Answer:

$y''(-1) =8$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Factoring

Calculus

Implicit Differentiation

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

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

-xy - 2y = -4

Rate of change of the tangent line at point (-1, 4)

Step 2: Differentiate Pt. 1

Find 1st Derivative

Implicit Differentiation [Product Rule/Basic Power Rule]: $-y - xy' - 2y' = 0$
[Algebra] Isolate y' terms: $-xy' - 2y' = y$
[Algebra] Factor y': $y'(-x - 2) = y$
[Algebra] Isolate y': $y' = \frac{y}{-x-2}$
[Algebra] Rewrite: $y' = \frac{-y}{x+2}$

Step 3: Find y

Define equation: $-xy - 2y = -4$
Factor y: $y(-x - 2) = -4$
Isolate y: $y = \frac{-4}{-x-2}$
Simplify: $y = \frac{4}{x+2}$

Step 4: Rewrite 1st Derivative

[Algebra] Substitute in y: $y' = \frac{-\frac{4}{x+2} }{x+2}$
[Algebra] Simplify: $y' = \frac{-4}{(x+2)^2}$

Step 5: Differentiate Pt. 2

Find 2nd Derivative

Differentiate [Quotient Rule/Basic Power Rule]: $y'' = \frac{0(x+2)^2 - 8 \cdot 2(x + 2) \cdot 1}{[(x + 2)^2]^2}$
[Derivative] Simplify: $y'' = \frac{8}{(x+2)^3}$

Step 6: Find Slope at Given Point

[Algebra] Substitute in x: $y''(-1) = \frac{8}{(-1+2)^3}$
[Algebra] Evaluate: $y''(-1) =8$

6 0

2 years ago

Read 2 more answers

Janelle has 5 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the

VikaD [51]

Answer:

The distance cover by him walking back is 11.25 miles

Step-by-step explanation:

Given as :

Time for Janelle to spend on training = 5 hours

The running speed of Janelle = 9 mph

The walking back with 3 mph

Let The distance for running and walking is same i.e D miles

SO, Time = $\frac{Distance}{Speed}$

∴ 5 = $\frac{D}{9}$ + $\frac{D}{3}$

Or, 5 × 9 = D + 3 D

Or, 45 = 4 D

∴ D = $\frac{45}{4}$ = 11.25 miles

Hence The distance cover by him walking back is 11.25 miles Answer

6 0

3 years ago

5: Answer the questions completely: Jordan has a new puppy. She wants to put a fence around part of her yard to cover an area of

irga5000 [103]

Given that Jordan has a new puppy and she wants to put a fence around part of her yard to cover an area of 200 square feet.

Now we have to find what dimensions (length x width) should she make the rectangular area. None of the length or width are given so there can be lots of answers.

Since area is rectangular and we know that rectangle has different value of length and width so we just need to find two factors of given area 200 square feet.

For example 20 times 10 is 200.

So the dimension of the rectangular area will be:

Length = 20 feet and width = 10 feet

Now perimeter of the rectangle is given by formula:

Perimeter = 2(length+width) = 2(20+10)=2(30)=60

Hence perimeter is 60 feet.

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3 years ago