2.5+ 2.5= 5 miles i think
-3.
Multiply 60 with 4 and then find the factor when added together which would give you the middle number. Notice that because it is a negative equation that both signs are negative. This means that the biggest factor of 240 will be negative.
Then, rewrite the equation 4x^2 +12x -20x -60 and divide it into two parts (4x^2 + 12x) (-20x-60) and then factor each part. If done correctly, the numbers left in the parenthesis should be the same. This way the part outside is one factor and the part inside is the other. This should get you 4x -20 and x +3.
Set both equal to zero and you get your two solutions. One is -3 and the other is 5.
Hope this helps!
Answer: if you are referring to a right triangle the third side might be 20.5cm
Step-by-step explanation:
I just used Pythagorean theorem in which c^2=a^2+b^2
so this is c^2= 225 + 196 and then you get c^2= 421 and finally you get the square root of 421 so this way you finally get 20.5 cm
Hope I helped
Pdt: a=15 b=14
Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 6 (second option)
Step-by-step explanation:
Focus: F=(3,4)=(xf, yf)→xf=3, yf=4
Directrix: y=8 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=8 must intercept the axis of the parabola at the point (3,8), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,8) and (3,4):
h=(3+3)/2→h=6/2→h=3
k=(8+4)/2→k=12/2→k=6
Vertex: V=(h,k)→V=(3,6)
p=yf-k→p=4-6→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 6
f(x)=[ 1 / (-8) ] (x-3)^2 +6
f(x)= - (1/8) (x-3)^2 + 6
