Answer:
(3, 1)
Step-by-step explanation:
(a) Algebraic solution
(1) y = -⅔x + 3
(2) y = 2x - 5
Set Equation (1) equal to Equation (2)
-⅔x + 3 = 2x - 5
Multiply each side by 3
-2x + 9 = 6x - 15
Add 15 to each side
-2x + 24 = 6x
Add 2x to each side
24 = 8x
Divide each side by 3
(3) x = 3
Substitute (3) into (2)
y = 2×3 - 5 = 6 - 5 = 1
The ordered pair that makes both equations true is (3, 1).
(b) Graphical solution
In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).
Answer:
1 second
Step-by-step explanation:
y = -16x² + 32x
y = -16(x² - 2x)
y = -16(x² - 2(x)(1) + 1² - 1²)
y = -16(x - 1)² + 16
Max height is when (x-1) = 0
So x = 1
Answer:
The coordinates of point S are (8,-2)
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
Let
Point S(x2,y2)
substitute the given values
<em>Solve for x2</em>
<em>Solve for y2</em>
therefore
The coordinates of point S are (8,-2)
Answer:
1:c
let x be the distance
12^2=10^(2) + x^(2)
x=6.6332
2.D
length of 2->3 and 2->1 is 90ft, they are perpendicular
by using Pythagorus theorem
the diagonal of the square = square root of the sum of 90^2 +90^2
=127.279ft
3.B
12^2 -6^2 = 10.39ft
Step-by-step explanation:
Answer:
E. None of these answers is reasonable.
Step-by-step explanation:
Customary units are inches, feet, yards, and miles.
Since,
1 foot = 0.3048 meters,
⇒ 1 meter = 
feet,
17.42 meters = 
feet
Now, 1 feet = 12 inches,
⇒ 
feet = 
inches
= 
Hence,
17.42 meters = 
= 57' 232/127''
That is, None of these answers is reasonable.
