Answer:
Choices 1 and 4 are correct.
Step-by-step explanation:
We first need to find what the slope of the line is. That way, we can find out which possible answers are perpendicular to it:
Since we now have the slope, we need the negative reciprocal of it. Remember: if x is the slope, it's negative reciprocal will be 
. Therefore, if the line's slope is 3, then we need to find answers with a slope of
.
The first answer is correct, as you have marked. The second answer, while written a little weirdly, does show the slope as 3, which we know as wrong. The third choice is not correct, however. This equation is written in point-slope form, where
. The only variable we have to worry about is m, which, in the third choice, is 3. The fourth answer is correct, which sounds weird at first. Let's put that equation into slope-intercept form:
Equations like these can be real sneaky, so it's important not to jump to conclusions with them.
The answer will come out to 30.2
Answer:
u = 156.25
Step-by-step explanation:
Step 1: Write equation
31.25 = u/5
Step 2: Solve for <em>u</em>
- Multiply both sides by 5: 156.25 = u
- Rewrite: u = 156.25
Step 3: Check
<em>Plug in u to verify it's a solution.</em>
31.25 = 156.25/5
31.25 = 31.25
Answer:
c) 100
Step-by-step explanation:
This is the best choice because the number is not too low or too high. He will get an accurate probability.
Given parameters:
Area of the rectangular garden = 359ft²
Unknown:
length and width of the garden = ?
To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.
Area of a rectangle = Length x Breadth
From the problem statement;
Let w = width of the rectangular garden
L = length of the garden;
Now,
length of a rectangular garden is 5 feet less than 4 times its width
L = 4w - 5
Now let us substitute this into the equation;
Area = L x w
359 = (4w - 5)w
4w² - 5w - 359
Using:
w = -b ± √b² - 4ac / 2a
where b = -5 , a = 4 and c = -359
w = -(-5) ± √-5² - 4(4)(-359) / 2(4)
w = 5 ± √25 + 5744 / 8
w = 5 ± 75.9 / 8
w = 
w = 10.1ft
The other solution is not possible it will be a negative value. Width value cannot be negative.
So L = 4w - 5 = 4(10.1) - 5 = 35.5ft
The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.
