Answer:
(x + y)² = 35
Step-by-step explanation:
The expansion of
(x + y)² = x² + 2xy + y²
= x² + y² + 2xy ← substitute given values
= 25 + 2(5)
= 25 + 10
= 35
<em>To write in standard form, we have to move the decimal point in </em>
<em>3.42</em>
<em> over 3 places to the left since our exponent is 10 3 </em>
<em>This gives us our answer of </em>
<em>0.00342</em>
<em>Hope this helps.</em>
This equation is currently in Point Slope Form. You can easily convert this form to Y Slope Intercept by following these steps.
Add 3 to both sides.
y = -2(x-2)
Simplify.
y = -2x + 4
Answer:
f(x) = 4x^2 + 2x - 4.
Step-by-step explanation:
Let the quadratic function be y = f(x) = ax^2 + bx + c.
For the point (-2, 8) ( x = -2 when y = 8) we have:
a(-2)^2 + (-2)b + c = 8
4a - 2b + c = 8 For (0, -4) we have:
0 + 0 + c = -4 so c = -4. For (4, 68) we have:
16a + 4b + c = 68
So we have 2 systems of equations in a and b ( plugging in c = -4):
4a - 2b - 4 = 8
16a + 4b - 4 = 68
4a - 2b = 12
16a + 4b = 72 Multiplying 4a - 2b = 12 by 2 we get:
8a - 4b = 24
Adding the last 2 equations:
24a = 96
a = 4
Now plugging a = 4 and c = -4 in the first equation:
4(4) - 2b - 4 = 8
-2b = 8 - 16 + 4 = -4
b = 2.
Answer:
Step-by-step explanation:
