Step-by-step explanation:
gradient = slope or several other words.
it describes how strongly a line (or tangent to a bent curve) is going up or down or ... if it is changing at all.
it is represented by the ratio
(y coordinate change / x coordinate change)
when going from one point on the line to another.
in our case, when going from A to B we have
x changes by -2k (from 3k to k).
y changes by -11 (from 8 to -3).
so, the gradient or slope is
-11/-2k = 3
11/2k = 3
11 = 3×2k = 6k
k = 11/6
A = (33/6, 8) = (11/2, 8)
B = (11/6, -3)
Answer:
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to
In this problem we have
substitute
Applying property of exponents
The quotient is x^2
The remainder is 2
Step-by-step explanation:
We need to divide: 
The division is shown in figure attached.
The quotient is x^2
The remainder is 2
Keywords: Division of polynomials
Learn more about Division of polynomials at:
#learnwithBrainly
Answer:
The probability is 0.97682
Step-by-step explanation:
We start by finding the z-values of the runner times given.
Mathematically;
z-score = (x-mean)/SD
From the question, mean = 13 seconds and SD = 0.3 seconds
So for 12.4 seconds, we have;
z = (12.4-13)/0.3 = -0.6/0.3 = -2
For 14 seconds, we have;
z = (14-13)/0.3= 1/0.3 = 3.33
So the probability we want to calculate is;
P(-2<z<3.33)
We can find this using the standard normal distribution table
Mathematically;
P(-2<z<3.33) = P(z<3.33) - P(z < -2)
Using the standard normal distribution table, the value of this is;
P(-2<z<3.33) = 0.97682
Answer:
225
Explanation:
∠ADC is a right angle [definition of altitude]. ∠ADC = 4x - 10, and since all right angles are 90° >> 4x - 10=90 >> 4x -10+10= 90+10 >> 4x=100 >> 4x/4=100/4 >> x=25.
BD+DC=BC [Between-ness of points] >> 4x + 5x -3=BC >> we know that x=25, so by substitute property >> 4*25+5*25 -3=BC >> 100+125 -3=BC >> 222=BC
