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Mashutka [201]
2 years ago
15

CALC BC HELPPP!!!??? 100PTS!!!

Mathematics
1 answer:
lyudmila [28]2 years ago
8 0

the assumption being that "x" is a plain variable whilst "y" is a function, that matters because the chain rule would be needed for a function, not so for a plain variable.

4x^2+4x+xy=5\implies 8x+4+\stackrel{\textit{product rule}}{\left( 1\cdot y+x\cdot \cfrac{dy}{dx} \right)}=0 \\\\\\ x\cfrac{dy}{dx}=-8x-4-y\implies \cfrac{dy}{dx}=\cfrac{-8x-4-y}{x}

now, we know that y(5) = -23, which is another way of saying that when x = 5, y = -23, but we already knew that, we can get that by simply plugging it into the equation hmmm y'(5), well

\left. \cfrac{dy}{dx}=\cfrac{-8x-4-y}{x} \right|_{\stackrel{x=5~}{\textit{\tiny y=-23}}}\implies \cfrac{-8(5)-4-(-23)}{5}\implies \cfrac{-21}{5}

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Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )
Anna007 [38]

Answer:

y=2x+3

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

y-y_1=m(x-x_1)

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

y-7=2(x-2)

Solve for y. Distribute the right:

y-7=2x-4

Add 7 to both sides. Hence, our equation is:

y=2x+3

6 0
2 years ago
Can any one help with this math problem: −1/2−(−5/9) I am a little confused
vichka [17]

Answer:

1/18

Step-by-step explanation:

-(-5/9) would turn into a positive 5/9. It cancels its own negative out.

The problem then turns to -1/2+5/9. Find the least common denominator and then combine.

3 0
2 years ago
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Find the length of the third side. If necessary, write in simplest radical form.
Angelina_Jolie [31]

Answer:

the length of the missing side is 2

Step-by-step explanation:

Use a^2 + b^2 = c^2

a = 4

b = ?

c = 2sqrt5

4^2 + b^2 = (2sqrt5)^2

16 + b^2 = 20

subtract 16 from both sides

b^2 = 4

take the sqrt of both sides

b = 2

3 0
2 years ago
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HELP ME PLEASE MATH <br> Which graph represents the following system of inequalities?
Mekhanik [1.2K]

y > 5x-1, because it is just a greater than sign, the shaded area would be to the left of a dotted line.

y ≤ x +3, because the sign is less than or equal to, the line is solid and the shaded area would be to the right.

Combine the shaded areas would make Graph B. the correct answer.

8 0
3 years ago
The flagpole is 20 ft high and casts an 8 foot shadow, the oak tree casts a 12 foot shadow. How tall is the oak tree
Fudgin [204]
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To answer this question you need to know how much shadow: actual height ratio. Flagpole is having 8 ft shadow with 20 ft actual height. The ratio should be= 8 ft: 20 ft= 0.4

Then multiply the ratio with the oak tree shadow. The equation would be:
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7 0
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