A ton is 2000 lbs. If a polar bear is 1600 lbs then the fractional part of a ton would be...
1600/2000 which will reduce to
16/20 = 4/5
Answer:
x = - 4, x = - 3
Step-by-step explanation:
To find the zeros equate f(x) to zero, that is
x² + 7x + 12 = 0
To factorise the quadratic
Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)
The factors are + 4 and + 3, since
4 × 3 = 12 and 4 + 3 = 7, hence
(x + 4)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 3 = 0 ⇒ x = - 3
Answer:
The Length of JM is 20.
Step-by-step explanation:
Given,
JKLM is a kite in which JL and KM are the diagonals that intersect at point A.
Length of AK = 9
Length of JK = 15
Length of AM = 16
Solution,
Since JKLM is a kite. And JL and KM are the diagonals.
And we know that the diagonals of a kite perpendicularly bisects each other.
So, JL ⊥ KM.
Therefore ΔJAK is aright angled triangle.
Now according to Pythagoras Theorem which states that;
"The square of the hypotenuse is equal to the sum of the square of base and square of perpendicular".
On putting the values, we get;
On taking square root onboth side, we get;
Again By Pythagoras Theorem,
On putting the values, we get;
On taking square root onboth side, we get;
Hence The Length of JM is 20.
Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
Answer:
mars = 4.54 kg and moon = 1.98 kg
Step-by-step explanation:
12 kg on mars = 4.54 kg
12 kg on moon = 1.98 kg
