Answer:
31
Step-by-step explanation:
ab + bc + ac for a = 2, b = 5, and c = 3
(2×5)+(5×3)+(2×3)
10+15+6
31
To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) D<span>ifference of two numbers is 90
a - b (difference of two numbers) = 90
2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10
Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
a = 10b
2) Plug a =10b into the first equation and solve for the value of b:
a - b = 90
10b - b = 90
9b = 90
b = 10
3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
a - b = 90
a - 10 = 90
a = 100
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Answer: The numbers are 100 and 10</span>
The lines are parallel.
In order to figure this out, let's start off by simplifying both equations as much as we can:
2y = 16 + 4x
Divide by 2
y = 2x + 8
Remember that the slope of that equation is '2' since 'm' in the equation y = mx + b represents slope.
Simplify the next equation:
6y - 30 = 12 x
6y = 12x + 30
Divide by 6:
y = 2x + 5
As you can tell, this line also has a slope of 2.
Parallel lines is defined as two lines that have the same slope. Knowing this, we can infer that these two lines are parallel.
-T.B.
Answer:
B- 3 by 7 by 9 is the only right answer.
Step-by-step explanation:
What is a triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted.
Basic rule:
A triangle must be tri-sided, means it must have three sides which is only possible if the sum of the smaller two sides is greater than the third side. Otherwise, a triangle is not physically possible.
A- 2+3 = 5 hence not a triangle.
B- 3+7 > 9 hence a triangle.
C- 4+5 < 9.5 hence not a triangle.
D- 5+6 < 12 hence not a triangle.
