We know that
the quadratic function in vertex form is--------------> y=a*(x-h)²+k
we have
f(x)=x²<span>+14x+40
y=</span>x²+14x+40
We can convert to vertex form by completing the
square on the right hand side
y-40=x²+14x
y-40-49=x²+14x-49------> subtract 49 on BOTH sides to
preserve the equality
y-40=(x²+14x+49)-49
y=(x²+14x+49)-49+40---------> y=(x+7)²-9
the answer is
the quadratic function in vertex form-----------> y=(x+7)²-9
<span>the vertex is the point (-7,-9)
</span>
Answer:divide 3 by 4 =.75
Step-by-step explanation:
D=60. multiply both sides of the equation by 4 since it’s a factor, giving you 2d-20-d=40. since there are like terms with d, collect them to get d-20=40 and move 20 to the right and change it’s sign. that will give you d=40+20, then calculate to get d=60. hope this helped! :)
Answer:
Step-by-step explanation:
A+B+C+D=360
A=180 as it half of the circle
B+C+D=180
60+C+90=180
150+C=180
C=180-150=30
The fraction of the circle to region C
30/180=1/6
Answer:
65 cm
Step-by-step explanation:
See the attached image. The Pythagorean Theorem says in a right triangle, (leg)^2 + (leg)^2 = (hypotenuse)^2.
