Answer:
y = x
Step-by-step explanation:
The inverse of f(x) = x is just y = x.
Answer:
k
Step-by-step explanation:
give me a minute
The equation in slope-intercept form for the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5 is 
<em><u>Solution:</u></em>
<em><u>The slope intercept form is given as:</u></em>
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Given that the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5
Given line is perpendicular to − 4 x − 3 y = − 5
− 4 x − 3 y = − 5
-3y = 4x - 5
3y = -4x + 5

On comparing the above equation with eqn 1, we get,

We know that product of slope of a line and slope of line perpendicular to it is -1

Given point is (-1, -2)
Now we have to find the equation of line passing through (-1, -2) with slope 
Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1



Thus the required equation of line is found
Answer:
#11-13: 118 , 97 , 62
#7-10: 92 , 125 , 56 , 130
Step-by-step explanation:
#11. Supplementary angles (A + B = 180)
- (n + 7) + (3n - 47) = 180
- n = 55
- <ABC = 3(55) - 47 = 118 degrees
#12. Supplementary angles
- 83 + x = 180
- x = 97
- <ABC = 97 degrees
#13. Congruent angles (A = B)
- (8x - 34) = (5x +2)
- x = 12
- <DEF = 5 (12) + 2 = 62 degrees
#7. Congruent angles
- (3x +23) = 4x
- x = 23
- <ABC = 4(23) = 92 degrees
#8. Congruent angles
- 5x = (3x + 50)
- x = 25
- <MPQ = 3(25) + 50 = 125 degrees
#9. Congruent angles
- (a + 28) = 2a
- a = 28
- <MNP = (28) + 28 = 56 degrees
#10. Congruent angles
- 5y = (2y + 78)
- y = 26
- <WXZ = 5(26) = 130 degrees
I hope this helps!
Answer:
a) Michiko needs to buy 18 tins of paint.
b) cost of paint would be $152.82
Step-by-step explanation:
Surface area of cuboid = 2lw + 2lh + 2hw
Length (l) = 2.4 m
Width (w) = 1.2 m
Height (h) = 0.6 m
SF = 2(2.4 × 1.2) + 2(2.4 × 0.6) + 2(0.6 × 1.2)
= 5.76 + 2.88 + 1.44
= 10.08 meter²
Paint coverage is 4.5 meter² per liter.
Total paint used in one coat =
= 2.24 liters
Paint used in double coats = 2.24 × 2 = 4.48 liters
a) Size of one tin paint = 250 ml
1 liters = 1000 ml
4.48 liters = 4.48 × 1000 = 4480 ml
Number of tins needed by Michiko =
= 17.92 ≈ 18 tins
b) Cost of one tin of metal paint = $8.49
∴ cost of 18 tins of paint = $152.82
a) Michiko needs to buy 18 tins of paint.
b) cost of paint would be $152.82