Answer:
y= -2x+4
Step-by-step explanation:
To find the slope find 2 points and use "rise/run", that will get -2
To find the y-intercept look at where the line crosses the y-axis. that will be 4
so -2x+4
Answer:
2x + 3y + 5z = 9
Step-by-step explanation:
The normal defines all the planes perpendicular to that vector. To isolate to a single plane, just apply the known point.
ax + by + cz = d
2x + 3y + 5z = d
2(1) + 3(-1) + 5(2) = 9
Answer:
9.000000001
Step-by-step explanation:
If the hypotenuse is 15, the ladder, facing the right angle, and the opposite is 12 we need to use SOH to find the angle.
sin of angle is opposite / hypotenuse
sin of angle is 12 / 15
12/15 = 0.8
sin^-1 of 0.8 = 53.13010235
Angle is that
Then we do this again but a different equation
cos of angle is adjacent (x which we are looking for) / hypotenuse
cos of 53.13... is x / 15
(15 x cos of 53.13... )is x
So 15 x cos of 53.13... is 9.000000001 feet away.
Answer:
(x – 3)^2+ (y +2)^2 = 36
Step-by-step explanation:
Given data
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,
where (h, k) represents the coordinates of the center of the circle
h=3
k=-2
r= 6
Substitute
(x – 3)^2+ (y – (-2))^2 = 6^2
(x – 3)^2+ (y +2)^2 = 36
Hence the expression for the equation of the circle is
(x – 3)^2+ (y +2)^2 = 36
Answer:
each pack costs 2.5, she bought x packs
x=2+4+3=9
she bought 9 packs
so 2.5 times 9=22.50
she spend $22.50
