Answer:
<h3>B. 9/4</h3>
Step-by-step explanation:
According to the diagram, there are 5 x's in and 8 of negative 1 in the left hand side of the equation. This is represented mathematically as;
= 5x+8(-1)
= 5x - 8 .............. 1
In the right hand side, there are 3 of -x's and 1 in 10 places. This is also expressed as;
= -3x+1(10)
= -3x+10 ............ 2
Equate 1 and 2 and find x
5x-8 = -3x+10
add 7 to both sides
5x-8+8 = -3x+10+8
5x = -3x+18
add 3x from both sides
5x+3x = -3x+18+3x
8x = 18
x = 18/8
x = 9/4
Hence the value of x that makes the equation true is 9/4
Step-by-step explanation:
A U B means all values containing in A and B.
Therefore A U B = {3,6,7,11,12,15} (C)
Answer:
= 486 in²
Step-by-step explanation:
Linear scale factor = Image distance/object distance
Therefore; Linear scale factor = OL'/OL
= 54/ 12
= 9/2
Area scale factor is equivalent to the square of linear scale factor
Thus;
Area scale factor = (9/2)²
= 81/4
Hence; 81/4 = Area of larger rectangle/Area of smaller rectangle
Area of the smaller rectangle = 4 ×6 = 24 in²
Therefore;
Area of enlarged or larger pic = 81/4× 24
<u>= 486 in²</u>
With the given speed and the time traveled, we can solve for the distance by using the distance formula: distance = speed x time:
Substituting the given values to the equation:
d = 61 <span>• 4
Among the choices, the correct answer is C.</span>
Answer:
The solution set is (6,3)
Step-by-step explanation:
Begin by multiplying equation 1 by 2. You'll see why in a moment
2y = 2*(1/2) x
2y = x
Substitute this value into equation 2.
2y + 4y = 18 Combine like terms on the left
6y = 18 Divide both sides by 6
6y/6 = 18/6 Do the division
y = 3
To solve for x just use the top equation
y = 1/2x
3 = 1/2x Multiply by 2
3*2 = x
x = 6