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3 years ago

Y= x^2 + 2 Find the slope of tangent line to graph when x= -1

Mathematics

1 answer:

ANTONII [103]3 years ago

4 0

dy%2Fdx+=+6x%5E2 So the slope at x = 2 is 6*(2^2) = 24

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Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y

kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

substitute in the formula

$d=\sqrt{(5-2)^{2}+(2-0)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$dAB=\sqrt{13}\ units$

step 2

Find the distance BC

substitute in the formula

$d=\sqrt{(7-5)^{2}+(-1-2)^{2}}$

$d=\sqrt{(2)^{2}+(-3)^{2}}$

$dBC=\sqrt{13}\ units$

step 3

Find the distance AC

substitute in the formula

$d=\sqrt{(7-2)^{2}+(-1-0)^{2}}$

$d=\sqrt{(5)^{2}+(-1)^{2}}$

$dAC=\sqrt{26}\ units$

step 4

Compare the length sides

$dAB=\sqrt{13}\ units$

$dBC=\sqrt{13}\ units$

$dAC=\sqrt{26}\ units$

$dAB=dBC$

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

$(AC)^{2} =(AB)^{2}+(BC)^{2}$

substitute

$(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}$

$26=13+13$

$26=26$ -----> is true

therefore

Is an isosceles right triangle

8 0

3 years ago

The person pays Social Security 6.2 percent of the first $90,000. Medicare is 1.45 percent of all income. Use the tax tables for

12345 [234]

Answer:

6.2

Step-by-step explanation

I gotta head dont I??

7 0

2 years ago

Which pair of fractions is equivalent to this pair: <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D" id="TexFormula1" ti

liubo4ka [24]

$\dfrac{3}{5}=\dfrac{3\cdot7}{5\cdot7}=\dfrac{21}{35}\\\\\dfrac{2}{7}=\dfrac{2\cdot5}{7\cdot5}=\dfrac{10}{35}\\\\Answer:\ \boxed{B.}$

4 0

3 years ago

Write an inequality for the graph A. x > -3 B. x < -3 c. x > -3 _

earnstyle [38]

Answer:

A. x > -3

Step-by-step explanation:

Well by looking at the graph we can tell that,

the line we can tell that the line goes to the right of of the number line,

Meaning x is greater than -3.

Thus,

x > -3.

Hope this helps :)

5 0

3 years ago

Pls help

kvasek [131]

Answer:

Same to me he sent a link to like almost every question it didn't work for me

Step-by-step explanation:

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3 years ago