Answer:
The coordinates of the science lab is:
x = -14/3 , y = 1
Step-by-step explanation:
∵ P is (-8 , -1) and Q is (2 , 5)
∵ The point of the science lab is (x , y)
∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)
∴
∴
∴
∴
∴ The point of science lab = (-14/3 , 1)
Answer: + =
Step-by-step explanation:
The equation of a circle is given as :
+ =
Where (a,b) are the coordinate of the center and r is the radius of the circle.
The end point of the diameter is give as (-5, -3 ) and ( -11 , -3 ) , This means that we can find the coordinate of the center by finding the mid point of the end point. The mid point is calculated by :
Mid point = ( , )
= -5
= -11
= -3
= -3
Substituting this values into the formula for finding mid point , we have
Mid point = ( ,
Mid-point = (-8 , -3)
Remember that Radius is half of the diameter , To find the diameter we must find the distance between the two end point using the formula for calculating distance between two points , that is
D =
Substituting the values :
D =
D =
D = 6
Therefore , The diameter i s 6
And since radius is half of the diameter , radius is thus
r = 6/2
r = 3
So , substituting the values gotten into the equation of circle , we have:
+ =
+ =
Answer:
15
Step-by-step explanation:
-3x = -5-10
-x=-15
therefore, x=15
A table will have a length and width, so the area will be just that, the product of those two factors, so in short, simply factor the area of x²+7x-30.
now, if we do a "prime factoring" of 30, we get 2*3*5, and we can mix them as 2*5 and 3, to get the factors of (x² + 10)(x²-3).
Answer:
A 25
Step-by-step explanation: