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2 years ago

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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9. Solve the system of equations using substitution.<br>y = 2x - 10<br>y = 4x - 8

krok68 [10]

Since they’re both in standard form and they both say that y is equal to something, you just have to set them up with one another
2x-10=4x-8
Subtract 2x
-10=2x-8
Add 8
-2=2x
Divide by 2
-1=x
x=-1
Check it by inserting it
2(-1)-10=4(-1)-8
-2-10=-4-8
-12=-12
So x=-1 is the answer

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2 years ago

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Paha777 [63]

Answer:

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Step-by-step explanation:

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2 years ago

What is the image of (1,0) after a counterclockwise rotation of 60 degrees?

Anestetic [448]

Answer:

$\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)$

Step-by-step explanation:

The coordinate has the following polar form:

$\vec r = (1, 0^{\circ})$

The image of the coordinate rotated counterclockwise 60° is:

$\vec s = (1, 60^{\circ})$

Its equivalent form in rectangular coordinates is:

$\vec s = (1\cdot \cos 60^{\circ}, 1 \cdot \sin 60^{\circ})$

$\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)$

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2 years ago

Rectangle ABCD is similar to rectangle QRST. The width of ABCD is 5 inches and the length is 8 inches. If the length of QRST is

omeli [17]

Answer: 7.5

Form your proportion. Let x be the width of QRST.

Length of ABCD Length of QRST
----------------------- = -------------------------
Width of ABCD Width of QRST

8/5 = 12/x

Solve for x by cross-multiplying.
(8)(x) = (12)(5)
8x = 60
x = 7.5

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2 years ago

Algebra 2 <br> If you can explain it would help so much

Elodia [21]

Never seen the exact thing before
But if I’m not mistaken
a should be the number before x^2
b is before x
c is the last number
including the negative sign!

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2 years ago