Simplify, picture attached

Find an equation for the tangent to the curve at the given point. y=x^2+2 ; (2, 6)

Zinaida [17]

1) Find the derivative $y'=2x$ and $y'(2)=2\cdot2=4$ .
2) The equation of the tangent line is $y=y'(x_0)(x-x_0)+y_0$ , so at point (2,6): $x_0=2 \\ y_0=6$ and
$y=4(x-2)+6$
$y=4x-2$ -the equation of the tangent line at point (2,6).

5 0

3 years ago

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Im in 6th grade and my homwork asks What is 5+6-18+694*88/92+33-11*2,515-55+45*6=? I need help.

just olya [345]

It's -26760.173913043

5 0

3 years ago

3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then r

vova2212 [387]

Answer:

Point-slope form of equation given as $y-2=-2(x+2)$ .

Slope-intercept form of equation is given as $y=-2 x-2$ .

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and

$y_{1}=2 \text {. }$

Also, the slope of the line is -2.

Hence, m=-2

Substitute the above values in point-slope form of equation given by $y-y_{1}=m\left(x-x_{1}\right)$

$\begin{aligned}&y-y_{1}=m\left(x-x_{1}\right) \\&y-2=-2(x-(-2) \\&y-2=-2(x+2)\end{aligned}$

Hence, point-slope form of equation given as y-2=-2(x+2).

Step 2 of 2

Solve y-2=-2(x+2) to write it as slope-intercept form given by y=mx+c.

$\begin{aligned}&y-2=-2(x+2) \\&y-2=-2 x-4 \\&y=-2 x-4+2 \\&y=-2 x-2\end{aligned}$

Hence, slope-intercept form of equation is given as y=-2x-2.

7 0

2 years ago

Place these numbers on the number line. 1/4, 2/3, 3/4, 6/8

Lelu [443]

The best way to put them into a number line is to make sure that they've all got the same denominator, which in this case, will be 24, as this is the lowest common multiple of 3,4 and 8. You will then need to multiply these fractions accordingly. The first one (1/4) will need to be multiplied by 6 to get a denominator of 24, so this will then give you a result of 6/24. The second one (2/3), will need to be multiplied by 8, which will then give you a result of 16/24. The third one (3/4)will also need to be multiplied by 6, giving you 18/24. The final one (6/8) will need to be multiplied by 3, giving you 18/24. You will then need to put these in order, which will be- 1/4, 2/3, 3/4, and 6/8. The alternative method is to turn these into decimals- 1/4 is equivalent to 25%, which is equal to 0.25. 2/3 is equivalent to 66.66%, which is equivalent to 0.66. 3/4 is equivalent to 75%, which is equal to 0.75. 6/8 is also equivalent to 75%, which is equal to 0.75, you can then easily line them up this way. Hope this has been able to help you

4 0

3 years ago

Find the measure of the missing angle <br><br> Answer: a=

makvit [3.9K]

Answer:

Hello! answer: 49

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees so...

90 - 41 = 49 therefore a = 49 hope that helps!

5 0

3 years ago

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