So firstly, what two terms have a product of 8x^2 and a sum of 9x? That would be x and 8x. Replace 9x with x + 8x:
Next, factor x^2 + x and 8x + 8 separately. Make sure that they have the same quantity on the inside:
Now you can rewrite the equation as
Now using zero product property, solve for x:
<u>In short, the solutions are {-1,-8}, or C.</u>
12 cups of flour is 4 times the quantity in the recipe, so 4 times as much brown sugar is needed, 4×2=8 cups of brown sugar.
That big triangle is made up of 2 congruent 30-60-90 triangles with each base measuring 4.5. You could use the tangent ratio to get tan60 = x / 4.5. Multiply both sides by 4.5 to get 4.5 tan60 = x. Do that on your calculator in degree mode to get that x = 7.79 or 7.8
The first child is technically correct, but the second child is applying thoughts to the real world.
Answer:
It will be quadrupled
Step-by-step explanation:
we know that
All spheres are similar
so
The ratio of the surface areas of two spheres is equal to the scale factor squared
Let
z ----> the scale factor
x ----> surface area of the sphere with radius doubled
y ----> surface area of the original sphere
so
The scale factor is 2 (because the radius of the sphere will be doubled)
substitute
so
The new surface area is 4 times the original surface area
therefore
The surface area will be quadrupled