Distance formula
D = √((x1 - x2)2 + (y1 - y2)2) We have three distances that we are dealing with. Between the Theater and the Park, between the Theater and the Pier, and between the Park and the pier. In both routes we have to go between the Theater and the Park. The distance between those is the same regardless of which way we go, so we can ignore doing the math for that. That leaves us two distances. Let's plug them in. Theater to PierD = √((0 - 10)2 + (3 - 9)2) = √(100 + 36) ≈ 11.6619 Park to PierD = √((2 - 10)2 + (1 - 9)2) = √(64 + 64) ≈ 11.3137 11.3 < 11.7
Answer:
(-4,-1)
Step-by-step explanation:
Assuming the graph is the one shown in the attachment.
The forward sloping line has a slope of 1 and a y-intercept of 3.
The equation of this line is y=x+3
The horizontal line has a slope of 0 and y-intercept of -1.
It's equation is y=-1
The two lines intersect at (-4,-1)
Answer:
C is the correct answer due to two-step inequality process
Step-by-step explanation:
Your inequality is: 5a + 18 < -27
First, you must remember that the < or > shall not be shaded in.
You could automatically eliminate answer A.
Now you need to do two-step inequalities which is the same thing as two-step equations but with an inequality sign.
5a + 18 < -27
5a < -27-18
5a < -45
**Now, here's something important: If you are multiplying with negatives while dealing with inequalities you must switch the sign to its opposite.
-9 > a
You need to find a number line that has numbers less than -9. It could be -10, -11, -12, -122, etc.
C is the correct answer.
N.B. I believe your question is saying that the price of a cup of coffee was $2.40 yesterday, and it rose to $2.65 today. Therefore, I will solve with these prices.
The percent increase is 10.41666666% (The 6 is repeating.).
First, you find the difference, or increase, between the two prices.
New price - Old price = Increase
$2.65 - $2.40 = $0.25
The difference between the two prices is $0.25. To find the percent increase, you want to divide the original price ($2.40) from the increase ($0.25) and multiply by 100.
Increase ÷ Original Price × 100 = % increase
0.25 ÷ 2.40 × 100 = 10.41666666%
The percent increase is 10.41666666% (The 6 is repeating.).
Answer: y = 2x - 2
Explanation: The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Subtract 2x from both sides of the equation.
-y = 2 - 2x
Multiply each term in -y = 2 - 2x by -1
(-y) . -1 = 2 . -1 + (-2x) . -1
Multiply (-y) . -1
Multiply -1 by -1
Multiply y by 1
y = 2 . -1 + (-2x) . -1
Simplify each term
Multiply 2 by -1
y = -2 + (-2x) . -1
Multiply -1 by -2
y = -2 + 2x
Reorder -2 and 2x
y = 2x - 2
