Thanks for your question!
The rule is (x-1, y-1). If we plus in the original we will get the translated one very time.
Hope this helps!
Given:
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60 cm.
To find:
The number of kitchen cupboard that will fit in 4.2 metres.
Solution:
Let x be the number of kitchen cupboard that will fit in 4.2 metres.
Width of 1 cupboard = 60 cm
Width of x cupboards = 60x cm
We know that, 1 m = 100 cm.
Width of a kitchen = 4.2 metres
= 4.2×100 cm
= 420 cm
Now, the width of the x cupboards is equal to width of the kitchen.
Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.
Here we're presented with a quadratic equation which needs to be expanded and then rewritten in descending powers of x:
1x^2 + m^2x^2 + 6mx + 9 - 3 = 0.
Let's group like terms: 1x^2 + m^2x^2 + 6mx + 6 = 0.
The first 2 terms can be rewritten as a single term: (1+m^2)x^2, and so we now have:
(1+m^2)x^2 + 6mx + 6 = 0.
We must now calculate the discriminant and set the resulting expression = to 0, as a preliminary to finding the value of m for which the given quadratic has equal roots:
discriminant: (6m)^2 - 4(1+m^2)(6) = 0
Then 36m^2 - 24(1+m^2) = 0, which simplifies to 12m^2 - 24 = 0.
Then 12 m^2 = 24; m^2 = 2, and m = √2.
When the discriminant is zero, as it is here when m = √2, then the given quadratic has two equal roots.
Answer:
4.75
Step-by-step explanation:
3/4 is 75 and your whole number is 4
Step-by-step explanation:
with reference angle theta
perpendicular (p) = 8
base (b) = 15
hypotenuse (h) = ?
We know by using Pythagoras theorem
h² = p² + b²
h² = 8² + 15²
h² = 64 + 225
h² = 289
h = √289
h = 17
Therefore the missing side is 17.
Now
sin theta = p / h = 8 / 17
cos theta = b / h = 15/17
tan theta = p / b = 8 / 15
Hope this helps.!