Its a reflection because the image flips along the line of symmetry.
Let x be the tens and y be the ones digits.
The product of the number is then: 10x + y
The product is 1/2, so you need to multiply the product by 2 and the number:
10x + y = 2(x+y)
10x + y = 2x + 2y
Subtract 1 y from both sides
10x = 2x + y
Subtract 2x from
Both sides
8x = y
X has to be 1 , which would make y 8
The product number becomes 18
Since the product is 1/2, multiply by 2:
18 x 2 = 36
3 x 6 = 18
The answer is 36
First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31
Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54
y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31
Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }
Answer:
60.72
Step-by-step explanation:
Monday: 60 degrees
Tuesday: temperature increases by 10 percent
60 + 10% of 60
60 + .10*60 = 70 +6 = 66
Wednesday: temperature decreases by 8 percent
66 - 8%of 66
66 - .08*66 = 66 -5.28=60.72
Are these 2 different questions or is this one equation
