Answer:
Step-by-step explanation:
<u>Rectangle has equal diagonals:</u>
<u>Substitute and solve for x:</u>
- 5x + 1 = 8x - 32
- 8x - 5x = 1 + 32
- 3x = 33
- x = 11
<u>Find the length of the diagonals:</u>
- JL = MK = 5*11 + 1 = 56 units
<u>Diagonals of the rectangle bisect each other:</u>
- KN = MK / 2 = 56/2 = 28 units
Answer:
Step-by-step explanation:
This linear graph will be shifted downward by 2 1/2 units: first, from y = 1/2 to the x-axis, and next, from the x-axis by 2 more units, for a total shift of 2 1/2 units.
Answer:
1 plain = $0.75; 1 cheese = $0.95; 1 super = $1.25
Step-by-step explanation:
We have three conditions
(1) 5P = 3S
(2) S = C + 0.30
(3) P = C – 0.20 Substitute (3) into (1)
=====
(4) 5(C – 0.20) = 3S Substitute (2) into (4)
5(C – 0.20) = 3(C + 0.30) Remove parentheses
5C – 1.00 = 3C + 0.90 Add 1.00 to each side
5C = 3C + 1.90 Subtract 3C from each side
2C = 1.90 Divide each side by 2
C = $0.95 Substitute C into Equation (2)
=====
S = 0.95 + 0.30
S = $1.25 Substitute C into Equation (3)
=====
P = 0.95 – 0.20
P = $0.75
1 plain = $0.75; 1 cheese = $0.95; 1 super = $1.25
Answer:
is the required simplification.
Step-by-step explanation:
Here, the given expression is (6x−4)(3x−1).
By DISTRIBUTIVE PROPERTY of numbers:
A ( B + C ) = AB + AC
Simplifying the given expression, we get:
or,
Hence the given expression is simplified.
Hey You!
Ten to the power of two = 100
So, when 42.6 is divided by 100, Sue should move the decimal 2 places to the left (before the 4).
42.6 ÷ 100 = 0.426
