Answer:
x=32
Step-by-step explanation:
To make the lines parallel, the sum of the angles must be equal to 180. 2x+3x+20=180, 5x=160, x=32
Y = (-1/9).x + 4
The slope m of the line perpendicular to y = (-1/9).x + 4 is equal to 9:
(if the product of 2 slopes = - 1, then the 2 lines are perpendicular)
y = 9x + b, Since it passes by the point (-1,0) , then:
0= 9(-1) + b and b = 9
Final equation:
y = 9x+9
9514 1404 393
Answer:
y = 3x
Step-by-step explanation:
A proportional relation has the equation ...
y = kx
To write the desired equation, you need to know the value of k. That can be found from the given information:
for x = 2, y = 6
6 = k·2
3 = k . . . . divide by 2
Now, we know the equation can be written ...
y = 3x
You can see that an odd number of steps is simply multiplying the number of steps by a number that moves up one each time. For instance, 1*1, 3*2, 5*3, etc. It's a bit harder with the even numbers. Their pattern is multiplying half the number of steps by 1.5, but the ones place value moves up a number each time, for example, 2*1.5, 4*2.5, 6*3.5. This means that 10 steps is 10 * 5.5, or 55 blocks and that 100 is 5,050 steps.
