Answer:
31 as it has only 2 factors which is 1 and 31
Cos(x+90)=> -sinx
Cos90=sin
Answer:
There are 7123 boxes of ice cream left in the factory
Step-by-step explanation:
Initially produced in factory : 6911 boxes
135 boxes are sold, so the factory now has 6911 - 135 = 6776
347 more boxes are produced, so we add this number to what there was in the factory: 6776 + 347 = 7123
<u>ANSWER: </u>
The vertex of given equation is (6, 32).
<u>SOLUTION:
</u>
Given, quadratic equation is
Above equation is a parabola and we need to find the vertex of that parabola. We know that, general form of the parabola is
Where, (h, k) is the vertex.
So, let us convert the given equation in parabolic equation.
Now, by comparing above equation with general form,
h = 6, k = 32 and a = -1.
Hence, the vertex of given equation is (6, 32).
y - y₁ = m(x - x₁)
y - (-1) = -1¹/₂(x - 3)
y + 1 = -1¹/₂(x) + 1¹/₂(3)
y + 1 = -1¹/₂x + 4¹/₂
- 1 - 1
y = -1¹/₂x + 3¹/₂
4x + y - 2 = 0
+ 2 + 2
4x + y = 2
4x - 4x + y = -4x + 2
y = -4x + 2
y - y₁ = m(x - x₁)
y - (-3) = -4(x - 4)
y + 3 = -4(x) + 4(4)
y + 3 = -4x + 16
- 3 - 3
y = -4x + 13
2x - 3y - 5 = 0
+ 5 + 5
2x - 2x - 3y = -2x + 5
-3y = -2x + 5
-3 -3
y = ²/₃x - 1²/₃
y - (-3) = -1¹/₂(x - 4)
y + 3 = -1¹/₂(x) + 1¹/₂(4)
y + 3 = -1¹/₂x + 6
- 3 - 3
y = -1¹/₂x + 3