Answer:
√(p²-4q)
Step-by-step explanation:
Using the Quadratic Formula, we can say that
x = ( -p ± √(p²-4(1)(q))) / 2(1) with the 1 representing the coefficient of x². Simplifying, we get
x = ( -p ± √(p²-4q)) / 2
The roots of the function are therefore at
x = ( -p + √(p²-4q)) / 2 and x = ( -p - √(p²-4q)) / 2. The difference of the roots is thus
( -p + √(p²-4q)) / 2 - ( ( -p - √(p²-4q)) / 2)
= 0 + 2 √(p²-4q)/2
= √(p²-4q)
Answer:
Graph #1
Step-by-step explanation:
Compare your
y - 1 = (2/3)(x - 3) to
y - k = m(x - h). We see that k = 1 and h = 3.
Thus, (1, 3) is a point on the graph. This matches Graph #1.
Note: Graph #1 and Graph #3 appear to be the same. Why?
It’s written in slope intercept form .
Answer:
x≤ −96
/23
Step 1: Simplify both sides of the inequality.
Step 2: Subtract 1/8x from both sides.
Step 3: Subtract 12 from both sides.
Step 4: Multiply both sides by 8/23.
5a) rotational symmetry is 2 because it can be rotated only 2 times before it turns to the original form.
b) perimeter is the total surface of all the sides so, because we are given a scale of 1 unit = 1cm then our measurements would be: 4cm + 3cm + 2cm + 1cm + 4cm + 3cm + 2cm + 1cm = 20cm.
c) To workout the area we need to divide the irregular shape into separate regular shapes<em>.</em><em> </em><em>the </em><em>diagram</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em>!</em><em> </em>Shape 1 is a rectangle so, area = L × W = 3 × 2 = 6cm. Shape 2 is a square so, area = side² = 2² = 4cm. Shape 3 is the same as shape 1 so the area is 6cm. Now to find the area of the whole shape we add these values so, 6+4+6= area of shape = 16cm.
d) <em>The</em><em> </em><em>dia</em><em>gram</em><em> </em><em>will</em><em> </em><em>show</em><em> </em><em>the</em><em> </em><em>answer</em><em>!</em>