Answer:
The answer is 2.5 or 5/2 as a fraction.
Step-by-step explanation:
P.S Can I have brainliest?
Answer:
wet by solar..................
Answer:
(x1, y1) = (1, 3)
(x2, y2) = (4, 12)
Step-by-step explanation:
y= x^2 - 4
y= 5x - 8
(substitute the value for y)
x^2 - 4 = 5x - 8
(solve the equation)
x = 1
x = 4
(substitute the values)
y = 5 × 1 - 8
y = 5 × 4 - 8
(solve the equations)
y = -3
y = 12
( the possible solutions are)
x1, y1 = 1, -3
x2, y2 = 4, 12
(check the solutions)
-3 = 1^2 - 4
-3 = 5 × 1 - 8
12 = 4^2 - 4
12 = 5 × 4 - 8
(simplify)
-3 = -3
-3 = -3
12 = 12
12 = 12
(the ordered pairs are the solutions)
26 by 9
Area = L*W
Area = 26 * 9
Area = 234 square feet but there are 2 such walls
Area = 234 * 2
Area = 468 square feet total for these walls.
18 by 9
Area = L*W
Area = 18 * 9
Area = 162 square feet
Total area = 468 + 162 = 630 square feet.
1 gallon covers 250 square feet
x gallon covers 630 square feet
1/x = 250/630
250 x = 1 * 630
x = 630 / 250
x = 2.52 gallons. It is best that she buy 3 gallons of paint.
Direction vector of line of intersection of two planes is the cross product of the normal vectors of the planes, namely
p1: x+y+z=2
p2: x+7y+7z=2
and the corresponding normal vectors are: (equiv. to coeff. of the plane)
n1:<1,1,1>
n2:<1,7,7>
The cross product n1 x n2
vl=
i j l
1 1 1
1 7 7
=<7-7, 1-7, 7-1>
=<0,-6,6>
Simplify by reducing length by a factor of 6
vl=<0,-1,1>
By observing the equations of the two planes, we see that (2,0,0) is a point on the intersection, because this points satisfies both plane equations.
Thus the parametric equation of the line is
L: (2,0,0)+t(0,-1,1)
or
L: x=2, y=-t, z=t
