Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
Answer:
Step-by-step explanation:
We can determine if the triangle is a right triangle by using the Pythagorean theorem
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
25^2 + 27^2 = 48^2
625+729=2304
1354 ≠2304
This is not true, so this is not a right triangle
Answer:
x = 76
Step-by-step explanation:
-4( x - 26 ) = -200
-4x + 104 = -200
-4x = -304
x = 76
Hopefully this helps!
Brainliest please?
Answer:
1. 16cm
2. 26dm
3. 20mm
4. 30dm
5. 78cm
Step-by-step explanation:
1. Perimeter of the square = 4cm + 4cm + 4cm + 4cm = 16cm
2. Perimeter = 8dm + 8dm + 5dm + 5dm
= 26dm
3. Perimeter of rectangle = 3mm + 3mm + 7mm + 7mm = 20mm
4. Perimeter of triangle = 8dm + 12dm + 10dm = 30dm
5. Perimeter = 23cm + 23cm + 16cm + 16cm = 78cm
<h3>Hope it is helpful...</h3>
