We are given the following quadratic equation
The vertex is the maximum/minimum point of the quadratic equation.
The x-coordinate of the vertex is given by
Comparing the given equation with the general form of the quadratic equation, the coefficients are
a = 2
b = 7
c = -10
The y-coordinate of the vertex is given by
This means that we have a minimum point.
Therefore, the minimum point of the given quadratic equation is
3.06% becomes 0.0306 as a decimal, then you make it
306/10000
Simplify that:
153/5000
Hope this helped!
The answer in scientific notation is: 4.32 x 10^-2
Answer:
45 cm
Step-by-step explanation:
Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...
(x +8)^2 = x^2 +(x -17)^2
x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses
0 = x^2 -50x +225 . . . . . put in standard form
0 = (x -45)(x -5) . . . . . . . . factor
Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.
The length of the longer leg of the triangle is 45 cm.
Answer:
y=x+1
Step-by-step explanation:
first find the slope using the two coordinates:
use the slope formula- m=y^2-y^1/x^2-x^1
6-2/5-1
=4/4
=1
y=mx+b
now plug in one of the coordinates, and the slope we just found into the slope intercept formula
2=1(1)+b
2=1+b
subtract 1 from both sides
1=b
1=b; m=1,
y=x+1
