You can use the distance formula for this:
√(x2-x1)²+(y2-y1)²
so you'll get √(1-4)²+(11-7)² = √(-3)²+(4)² = √9+16 = √25 = 5 and 5 is your answer
F(x) = -(x2+x-72)
y = -(x - 8)(x + 9)
the solutions are x = 8, -9; so the parabola is upside down (umbrella) crossing the x at 8 and -9, meaning that -9 + 8 = -1/2 = -0.5 is where the focus is, or x = -0.5 as the axis of symmetry
Answer:
The second: 
Step-by-step explanation:
![f (x) =4x^2+6x-3\\\\f (x) =4(x^2+\frac64x]-3\\\\f (x) =4[x^2+2\cdot x\cdot\frac34+(\frac34)^2-(\frac34)^2]-3\\\\f (x) =4[(x+\frac34)^2-(\frac34)^2]-3\\\\f (x) =4(x+\frac34)^2-4(\frac34)^2-3\\\\f (x) =4(x+\frac34)^2-\frac94-\frac{12}4\\\\\underline{f (x) =4(x+\frac34)^2-\frac{21}4}](https://tex.z-dn.net/?f=f%20%28x%29%20%3D4x%5E2%2B6x-3%5C%5C%5C%5Cf%20%28x%29%20%3D4%28x%5E2%2B%5Cfrac64x%5D-3%5C%5C%5C%5Cf%20%28x%29%20%3D4%5Bx%5E2%2B2%5Ccdot%20x%5Ccdot%5Cfrac34%2B%28%5Cfrac34%29%5E2-%28%5Cfrac34%29%5E2%5D-3%5C%5C%5C%5Cf%20%28x%29%20%3D4%5B%28x%2B%5Cfrac34%29%5E2-%28%5Cfrac34%29%5E2%5D-3%5C%5C%5C%5Cf%20%28x%29%20%3D4%28x%2B%5Cfrac34%29%5E2-4%28%5Cfrac34%29%5E2-3%5C%5C%5C%5Cf%20%28x%29%20%3D4%28x%2B%5Cfrac34%29%5E2-%5Cfrac94-%5Cfrac%7B12%7D4%5C%5C%5C%5C%5Cunderline%7Bf%20%28x%29%20%3D4%28x%2B%5Cfrac34%29%5E2-%5Cfrac%7B21%7D4%7D)
Given that <span>Jan
has 35 teaspoons of chocolate cocoa mix and 45 teaspoons of French
vanilla cocoa mix and that she wants to put the same amount of mix into each
jar.
Given that she only wants one flavor mix in each jar and that she wants to fill as
many jars as possible.
This question depicts a HCF (highest common factor) question where the maximum amount of jars of each flavor she can fill represent the multiple of the HCF of 35 and 45.
35 = 5 x 7
45 = 5 x 9
Thus the HCF of 35 and 45 is 5.
Therefore, the number of jars of French vanilla cocoa mix Jan will fill is 9.</span>
Answer:
half a cup of flower -> 1/2
Step-by-step explanation:
i used a proportion to figure this out.
