Answer:
1
Step-by-step explanation:
Answer:
a) t = 0.54 seconds
b) t = 8 seconds
Step-by-step explanation:
Given in the question the equation
h = 40t - 5t²
<em> where h is height in meters</em>
<em> t is time in seconds</em>
<em />
Time it took to reach 20 meters
20 = 40t - 5t²
-5t² + 40t - 20 = 0
by using quadratic formula for factorisation
<h3>t = (-b± √(b)² - 4(a)(c) ) / 2(a)</h3>
t = 0.54 (upward motion)
or
t = 7.46 (downward motion)
b) Time it took to reach the ground
at ground h = 0
So,
0 = 40t - 5t²
t(40 - 5t ) = 0
t = 0 (at starting point)
or
40 -5t = 0
5t = 40
t = 40 /5
t = 8 seconds
Answer:
Step-by-step explanation:
Let's solve the given system of linear equations:
a+b = 13
0.750 + 1.15b = 12.55
Let's eliminate b. To do this, solve the first equation for b, obtaining b = 13 - a, and then substitute 13 - a for b in the second equation:
0.750 + 1.15(13 - a) = 12.55.
Next, subtract 0.750 from both sides, obtaining: 1.15(13 - a) = 11.8
Dividing both sides by 1.15 yields 13 - a = 10.26
Then a = 13 - 10.26, or a = 2.74.
Since a + b = 13, b = 13 - 2.74, or 10.26
This person bought 2.74 pounds of apples and 10.26 pounds of bananas.
The coordinates of R are (6,9)
Step-by-step explanation:
Given
S(6,7) = (x2,y2)
R = (x1,y1)
M = (6,8)
The formula for mid-point is:
Putting values
Putting respective coordinates equal
Hence,
The coordinates of R are (6,9)
Keywords: Coordinate geometry
Learn more about coordinate geometry at:
#LearnwithBrainly
Answer:
X = (J+M)/K
Step-by-step explanation:
Undo what has been done to the variable, in reverse order. The variable has been multiplied by K and M subtracted from the result. So, we first add M (to undo the subtraction), then we divide by K (to undo the multiplication).
KX = J +M . . . . . . M added to the given equation
X = (J + M)/K . . . . the result of that is then divided by K
___
Since these are all capital letters, we might assume they represent vectors and/or matrices. If so, the "divide by K" step needs to be "multiply on the left by K^-1, the matrix inverse of K."
Then your solution looks like
X = K⁻¹·(J + M)