B) (-4, -4)
When moving to the right you are moving to a more POSITIVE region on the x-axis; meaning, the y-value (vertical axis) does not get affected unless you’re moving up or down.
Remember: (-6, -4)
X = -6
Y = -4
If you move 2 units to the right (x-axis) you go from -6 + 2 which equals -4. And again, you’re not moving up and down so your
y-value stays the same and your new coordinates are (-4, -4)
Answer:
I thank its b not sure sorry if its wrong
The sides of the triangle are given as 1, x, and x².
The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.
Consider 3 cases
Case (a): x < 1,
Then in decreasing size, the lengths are 1, x, and x².
We require that x² + x ≥ 1
Solve x² + x - 1 =
x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
Reject the negative length.
Therefore, the lengths are 0.382, 0.618 and 1.
Case (b): x = 1
This creates an equilateral triangle with equal sides
The sides are 1, 1 and 1.
Case (c): x>1
In increasing order, the lengths are 1, x, and x².
We require that x + 1 ≥ x²
Solve x² - x - 1 = 0
x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
Reject the negative answr.
The lengths are 1, 1.618 and 2.618.
Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.
Answer:
Leila is buying a dinosaur model. The price of the model is xxx dollars, and she also has to pay a 7\%7%7, percent tax.
Which of the following expressions could represent how much Leila pays in total for the model?
Step-by-step explanation:
The original price of the dinosaur model is "x" dollars
On top of that, the sales tax is 7% of the original price
Hence,
The total price would be the original amount PLUS the taxed amount
Original Amount = x
Taxed Amount = 7% of x
That is, 7% in decimal multiplied with "x".
7/100 = 0.07
0.07 * x = 0.07x
Total amount = x + 0.07x = 1.07x
The expression for total amount is 1.07x
Answer:
Answer in simplified form is - 10 1/2 .
Step-by-step explanation:
We have given,
(5 1/4) ÷ (- 2 1/2)
This can be simplified as :
(5 1/4) ÷ ( -2 1/2)
Since 5 1/4 = 21/4 and -2 1/ 2 = -5/2
So we can write,
(5 1/4) ÷ ( -2 1/2) = 21/4 ÷ ( - 5/2)
or (21/4) / (-5/2)
or ( 21/4) * (-2/5)
or -42/20
or -21/10
or - 10 1/2 , this is the answer
Hence we get answer in simplified form as -10 1/2
