Answer:
Step-by-step explanation:
Given the slope and another point, simply plug them into the point-slope formula to find your y-intercept.
Now that we've found your y-intercept, we have the original equation. To find the perpendicular equation, you need the opposite reciprocal of your slope.
To find the 'opposite,' change your slope's sign. Since your slope is positive 
, the opposite is 
.
To find the 'reciprocal,' flip your fraction. This will make your slope 
.
Your final equation is:
11 : 12.....11 + 12 = 23
boys : 11/23 * 460 = 5060/23 = 220 <===
girls : 12/23 * 460 = 5520/23 = 240
Answer:
71.6 degrees
Step-by-step explanation:
Given the vectors
u= <8,4> v = <9.-9> (5 points)
u*v = (8, 4)*(9, -9)
u*v = 8(9)+(4)(-9)
u*v = 72 - 36
u*v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+9²
|v| = √81+81
|v| = √162
Using the formula
u*v = ||u||v| cos theta
36 = √80(√162)cos theta
36 = √12960 cos theta
cos theta = 36/√12960
cos theta = 36/113.8
cos theta = 0.3162
theta = arccos(0.3162)
theta = 71.56 degrees
Hence the angle between the given vectors to the nearest tenth of a
degree is 71.6 degrees
1:4
smaller side = 2
bigger side = 8 since 2/8 = 1/4
1/4 = 2/x
x=4*2=8
