Answer:
y = 0 and x = 6
y = 2 and x = 3
y = 4 and x = 0
y = 6 and x = -3
Step-by-step explanation:
2x+3y=12 is the equation of a straight line.
There are infinite number of solutions, but here you're probably looking for solutions where x and y are whole numbers. Trial and error will find you some, although if you examine the equation closely you see that if x is a multiple of 3 and y is a multiple of 2, then they produce terms that are the LCM (least common multiple) of 2 and 3, namely 6. That's the logic in the whole number solutions.
Angle 15 and Angle 9 make a straight line
Answer:
a=1 or a=5/6
Step-by-step explanation:
I'm going to attempt to factor 6a^2-a-5
a=6
b=-1
c=-5
Find two numbers that multiply to be a*c and add to be b.
a*c=-30 =-6(5)
b=-1 =-6+5
So replace -a with -6a+5a in the expression we started with
6a^2-6a+5a-5
now we factor by grouping
6a(a-1)+5(a-1)
(a-1)(6a-5)
Now let's solve the equation:
(a-1)(6a-5)=0
So a=1 or a=5/6
Answer:
A
Step-by-step explanation:
Use foil to expand it.
y = 4 (x^2 + 7x - 9x - 63) Combine the like terms on the right.
y = 4(x^2 - 2x - 63) Use the distributive property to remove the brackets.
y = 4x^2 - 8x - 4*63 Combine the two multiplied factors on the right.
y = 4x^2 - 8x - 252 4* 63 = 252
The answer is A
Answer:
13
Step-by-step explanation:
Parentheses first:
5+ (-4) * (-2)
Then Multiply:
5+8
Then Add:
13
