Answer:
yes 67 is a prime number because has only 2 divisors
Step-by-step explanation:
1. y = -x - 2...slope here is -1. A parallel line will have the same slope
y = mx + b
slope(m) = -1
(2,-2)...x = 2 and y = -2
now we sub and find b, the y int
-2 = -1(2) + b
-2 = -2 + b
-2 + 2 = b
0 = b
so ur parallel equation is : y = -x
=========================
2. -1 = -3/2(2) + b
-1 = -3 + b
-1 + 3 = b
2 = b
parallel equation is : y = -3/2x + 2
==========================
3. parallel equation is : x = 4
==========================
4. 3 = 1/2(-2) + b
3 = -1 + b
3 + 1 = b
4 = b
parallel equation is : y = 1/2x + 4
===========================
5. y + 0 = 2(x - 5)
y = 2x - 10 <== parallel line
============================
6. neither
============================
7. if ur second equation is : 2x + y = 7, then the lines are parallel
============================
8. neither
============================
9. sometimes
============================
10. never
You could solve it ( without a graph) in 2 easy ways :
1 use the equation that you have written in pencil and solve for y
y=3=-x+4
y=-x +1
Or you could use the point slop form after you find the y intercept y=mx+b
-3=4(-1)+b
b= 1
So the answer would be y= -x +1
Hope this help of it does feel free to give the brainliest
<span>Width = 6
Length = 30
We know the perimeter of a rectangle is simply twice the sum of it's length and width. So we have the expression:
72 = 2*(L + W)
And since we also know for this rectangle that it's length is 6 more than 4 times it's width, we have this equation as well:
L = 6 + 4*W
So let's determine what the dimensions are. Since we have a nice equation that expresses length in terms of width, let's substitute that equation into the equation we have for the perimeter and solve. So:
72 = 2*(L + W)
72 = 2*(6 + 4*W + W)
72 = 2*(6 + 5*W)
72 = 12 + 10*W
60 = 10*W
6 = W
So we now know that the width is 6. And since we have an expression telling us the length when given the width, we can easily determine the length. So:
L = 6 + 4*W
L = 6 + 4*6
L = 6 + 24
L = 30
And now we know the length as well.</span>
It’s B 26 in a rhombus opposite sides are parallel