2x+y-3=0,x-2y=1 okay that's the answer good luck
9514 1404 393
Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
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b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)
Answer:

Step-by-step explanation:
To write the quadratic in standard form, begin by writing it in vertex form

Where (h,k) is the vertex of the parabola.
Here the vertex is (-3,-2). Substitute and write:

To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (0,7) a y-intercept of the parabola.

The vertex form of the equation is
.
To write in standard form, convert vertex form through the distributive property.



To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.



To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.

We cannot simplify √149, so we either leave it, or round it.

This is rounded to the nearest 10,000.

Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.


Answer:
I believe it's the first option because the y-intercept is -7
Step-by-step explanation: