Answer:
y = 3x + 2
y = 6x – 3
y = 2/3x + 6
y = –1/3x – 4
y = 2x + 1
Correct answer:
y = 3x + 2
Explanation:
Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2
So y = 3x + 2
.32 multiplied by 300 is 96
Answer: 5:4
Step-by-step explanation:
Given : The number of convertibles = 1960
The number of minivans = 490
Total cars = 2450
The ratio of A to B can also be written as
.
The ratio of cars to convertibles = 
![=\dfrac{2450}{1960}\\\\=\dfrac{5}{4}\ \ \ \text{[Simplest form]}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B2450%7D%7B1960%7D%5C%5C%5C%5C%3D%5Cdfrac%7B5%7D%7B4%7D%5C%20%5C%20%5C%20%5Ctext%7B%5BSimplest%20form%5D%7D)
Hence, the ratio of cars to convertibles = 5:4
Answer:
3rd option
Step-by-step explanation:
Using the identities
cot x = 
csc² x = 1 + cot² x
Given
tanθ =
, then cotθ = 
csc²θ = 1 + (
)² = 1 +
= 
cscθ = ±
= ± 
Since θ is in 3rd quadrant, then cscθ < 0
cscθ = -
×
= -
A. The number of 10-boards Peter bought is equal to n divided by 10. Then, each of the 10-boxes will get two boxes of nails. The number of boxes of nails that Peter will have after buying n boards will be,
N = (2)(n/10)
Simplifying,
<em> N = n/5</em>
b. If the number of boards are 90 then,
N2 = (90/10)(2)(100 nails/box)
N2 = 1800
Answer: 1800