Answer:
81/64 or 1 17/64
Step-by-step explanation:
A negative exponent means to flip the fraction
(8/9) ^-2
(9/8)^2
81/64
Changing this to a mixed number
1 17/64
Answer
x - 2y = -1.
Step-by-step explanation:
Slope = (3 - (-2)) / (5 - (-5))
= 5/10
= 1/2
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
Here m = 1/2 and (x1, y1) = (5, 3):
y - 3 = 1/2(x - 5)
y - 3 = 1/2x - 5/2
y = 1/2x - 5/2 + 6/2
y = 1/2x + 1/2
Removing the fractions:
2y = x + 1
in standard form this is
x - 2y = -1
Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.
We convert the given information to equations, step by step.
Point 1: When Jackie is 1 mile farther from the intersection than Judy.
This means y is 1 mile more than x.
So,
y = 1 + x
Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection.
Distance between is x+ y.
So, x+y is 2 miles more than y.
x+y = y + 2
⇒
x = 2
From point 1 we have:
y = 1 + x = 1+ 2 = 3
So,
Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
This will help a lot if you go to desmos! Just graph the equation on there! It’s much easier to see on computer
Answer:
B
Step-by-step explanation:
B
the vertex is (-5,-2) which eliminates A and C. D says that the x intercepts are both positive which is obviously incorrect making B the correct answer
