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antiseptic1488 [7]
2 years ago
10

Tangent slope of 4x^2+2x when x=-2

Mathematics
1 answer:
polet [3.4K]2 years ago
4 0

Answer:

-14

Step-by-step explanation:

f(x) = 4x² + 2x

Take the first derivative:

f'(x) = 8x + 2

Evaluate at x = -2:

f'(-2) = 8(-2) + 2

f'(-2) = -14

The tangent slope is -14.

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find the length of each isosceles right triangle when the hypotenuse of the given measure given 5 to the square root of 6
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In isosceles right triangle, legs are equal. Let each leg is of x units . And the given hypotenuse is 5 square 6. We use pythagorean identity here, which is

a^2 + b^2 = c^2

Where a=b=x and c= 5 square root 6

x^2 +x^2 =(5 \sqrt6)^2

2x^2 = 150

x^2 =75

x= 5 \sqrt 3

And that's the length of both the legs . ANd that's the required answer .

8 0
3 years ago
PLEASEEEEEEEE HELP
Rama09 [41]

Answer:

Using the point-slope form:

The equation of the line is given by:

y-y_1 =m(x-x_1) .....[1]  where

m is the slope of the line and (x_1, y_1) is the point on the line.

As per the statement:

Given: Two points i,e (34, 76) and (42, 91)

First calculate slope(m):

Slope is given by:

\text{Slope} = \frac{y_2-y_1}{x_2-x_1}

Substitute the given values we have;

\text{Slope (m)} = \frac{91-76}{42-34}=\frac{15}{8}=1.875

Now, substitute the value of m and (34, 76) in [1] we have;

y-76 =1.875(x-34)

Using distributive property: a \cdot (b+c) = a\cdot b+ a\cdot c

y-76 =1.875x-63.75

Add 76 to both sides we get;

y=1.875x+76

Therefore, the equation of the trend line is: y=1.875x+76

8 0
2 years ago
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Answer:

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Step-by-step explanation:

:)

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Rachel's recipe calls for 2/5 cups of sugar for every 2 cups of lemonade. She only wants to make 1 cup of lemonade, so she puts
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Answer:

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