Answer: A. -6
Step-by-step explanation:
Answer:
y = 1/3 x + 4
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. The given line is
y = -3x + 7
which is already in the slope-intercept form, y = mx + b, where m is the slope.
The slope of the given line is -3.
The slope of the perpendicular is the negative reciprocal of -3 which is 1/3.
The line we are looking for has an equation of the form
y = 1/3x + b
We need to find b. We use the x- and y-coordinates of the given point as x and y in the equation above, and we solve for b.
y = 1/3x + b
5 = (1/3)(3) + b
5 = 1 + b
4 = b
Now that we know that b = 4, we replace b with 4 in the equation
y = 1/3x + b to get the answer.
Answer: y = 1/3 x + 4
Answer:
In this case, you can use the concept of cosine to calculate y, and things are even easier when you have one of the special angles which is a 45° angle.
So we know that: cos45° = √2/2
This fact will always be true. In our case, we have:
cos45° = 7/y
Therefore, we have the equation:
7/y = √2/2
⇔ 14 = y√2
⇔ y = 14/√2
⇔ y = √196/√2 = √(196/2) = √98 = 7√2
So y is equal to 7√2
Answer:
21.9
Step-by-step explanation:
Answer:
The total number of hikers are 427
Step-by-step explanation:
Let:
The number of bikers = x
The number of hikers = y
There are 178 more bikers than hikers
y = x + 178
if there are 676 people in the park total how many people are hikers?
Hence:
x + y = 676
we substitute x + 178 for y
x + x + 178 = 676
2x + 178 = 676
2x = 676 - 178
2x = 498
x = 498/2
x = 249
y =x + 178
y = 249 + 178
y = 427
Therefore:
The number of bikers = x = 249
The number of hikers = y = 427
The total number of hikers are 427
