Answer:
The gradient of the line joining the points
and
is
.
Step-by-step explanation:
The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line (
), that is:
(1)
If we know that
and
, then the gradient of the line is:


The gradient of the line joining the points
and
is
.
Since the minimum value is 0 and axis of symmetry is -2 this means that the vertex is at -2,0 now with the y intercept of 4. You can now plug the values into Vertex form which will be y=a(x-h)^2+k. a being the shrink or stretch of the parabola, h being the x value of the vertex, and k being the y value of the vertex. with all of that plugged in it should look like y=(x+2)^2. You can check this equation by plugging in 0 as x which should find the y intercept of 4. So it should then look like y=(0+2)^2 -> y=(2)^2 -> y=4
Answer:
81
Step-by-step explanation:
The term "of" can be translated to multiplication in problems like this.
So it's essentially saying multiply 45% to 180 and give me the result.
45% can be written as 45/100 in fractions (45 percent, where cent means 100 and per means division). 45/100 can be written as 0.45 in decimal form.
Now the problem reads 0.45 X 180. Using a calculator, we can solve this and the result comes out to be 81
Answer:
Step-by-step explanation:
8,15,15 너 도넛
Answer:
Option (A)
Step-by-step explanation:
The Barnard's Star is usually considered to be a red dwarf, that is approximately six light-years away from the location of earth. It is present in the Ophiuchus constellation and forms the 4th proximate star to the sun.
Altair refers to the bright shining star present in the Aquila constellation. It forms the 12th brightest star that occurs in the night sky.
Spica is one of the proximate stars to the earth and that is extremely large having a mass of almost ten times the mass of the sun.
The mass of Barnard's star is= 2.864 × 10^29 kg
The mass of the Altair is= 3.56 × 10^30 kg
The mass of the Spica= 19.89 × 10^30 kg
The arrangement of these given stars in the increasing order are as follows-
Barnard's star (minimum) < Altair star < Spica star (maximum)
Hence, the correct answer is option (A).