Answer:
18 and 6
Step-by-step explanation:
Rn = 6 Ratio numerator
Rd = 2 Ratio Denominator
Rs = Rn + Rd
Rs = 6 + 2
Rs = 8
Ratio Sum
a = 24 Amount to Divide
M = a ÷ Rs
M = 24 ÷ 8
M = 3 Multiplier Ratio Division Calculation
Rr = Rn × M : Rd × M
Rr = 6 × 3 : 2 × 3
Rr = 18 : 6
Answer: 4
Step-by-step explanation:
It's important that you share the complete question. What is your goal here? Double check to ensure that you have copied the entire problem correctly.
The general equation of a circle is x^2 + y^2 = r^2. Here we know that the circle passes thru two points: (-3,2) and (1,5). Given that a third point on the circle is (-7, ? ), find the y-coordinate of this third point.
Subst. the known values (of the first point) into this equation: (-3)^2 + (2)^2 = r^2. Then 9 + 4 = 13 = r^2.
Let's check this. Assuming that the equation of this specific circle is
x^2 + y^2 = r^2 = 13, the point (1,5) must satisfy it.
(1)^2 + (5)^2 = 13 is not true, unfortunately.
(1)^2 + (5)^2 = 1 + 25 = 26 (very different from 13).
Check the original problem. If it's different from that which you have shared, share the correct version and come back here for further help.
Answer:
d) p(4) = 0.
Step-by-step explanation:
p(4) = 0:-
p(4) = 4^2 + 8(4) - 48
= 16 + 32 - 48
= 0.
This is an application of the Factor Theorem ( a special case of The Remainder Theorem)
The Factor theorem states that if (x - a) is a factor of P(x) then P(a) = 0.
