Terrifying: adjective
suddenly: adverb
small: adjective
Answer:
Angle C = 45 degrees.
Angle D = 30 degrees.
Step-by-step explanation:
Angle C = 45 + 90 = 135 180 - 135 = 45.
Angle D = 180 - 45 = 135 (angle F) 15 + 135 = 150 180 - 150 = 30
<span>Simplifying
(x + 3)(x + 2)
Reorder the terms:
(3 + x)(x + 2)
Reorder the terms:
(3 + x)(2 + x)
Multiply (3 + x) * (2 + x)
(3(2 + x) + x(2 + x))
((2 * 3 + x * 3) + x(2 + x))
((6 + 3x) + x(2 + x))
(6 + 3x + (2 * x + x * x))
(6 + 3x + (2x + x2))
Combine like terms: 3x + 2x = 5x
(6 + 5x + x2)
Factor a trinomial.
(3 + x)(2 + x)
Final result:
(3 + x)(2 + x)</span>
Answer:
<h3>No, they are not equivalent</h3>
Step-by-step explanation:
Are the following systems equivalent? How do you know?
For the equation;
2x+y= -4 ... 1
7x+7y=0 ... 2
Let us find the solution of the equation;
From 1;
y = 4 - 2x
Susbtitutw into 2;
7x + 7(4-2x) = 0
7x + 28 - 14x = 0
-7x + 28 = 0
7x = 28
x = 28/7
x = 4
Recall that y = 4-2x
y = 4 - 2(4)
y = 4 - 8
y = -4
The solution is (4, -4)
For the other equations;
5x+6y= 4 ... 1 * 1
4x+2y= -4 ..... 2 * 3
___________________
5x+6y= 4
12x+6y= -12
Subtract
5x-12x = 4 + 12
-7x = 16
x = -16/7
Since the solutions to both simultaneous equations are different, hence the systems of equations are not equivalent.
List the multiples of each award:
24: 1 , 2, 3, 4, 6, 8, 12, 24
18: 1, 2, 3, 6, 9, 18
The greatest common multiple is 6
The greatest number of shelves will be 6.
