Answer:
x = 3.5
y = - 4
Step-by-step explanation:
2(4x + 7y = -14)
8x + 14y = -28
8x + 5y = 8
- (8x + 14y = -28)
--------------------------
- 9y = 36
y = 36/-9
y = - 4
4x + 7y = - 14
4x + 7(- 4) = - 14
4x -28 = - 14
4x = 14
x = 14/4
x = 3.5
Answer: B: 8*1 = 8
Step-by-step explanation:
The identity property of multiplication says that:
There exist a number, called the identity, such that when we multiply any real number N by this identity, the result is the same number N.
The identity is 1.
then N*1 = N.
The option that is an example of that is:
8*1 = 8.
Option B
Answer:
By exterior angle theorem, we have;
∠DBE = ∠H + ∠HEB = ∠ECD = ∠H + ∠HDC
∴ ∠H + ∠HEB = ∠H + ∠HDC
By addition property of equality, we have
∠HEB = ∠HDC
∠H = ∠H by reflexive property
∴ ΔHCD ~ ΔHEB by Angle Angle AA similarity postulate
∴ HE/HD = EB/DC, by the definition of similarity
Therefore, by cross multiplication, we have;
HE × DC = EB × HD
Therefore, by commutative property of multiplication, we have;
HE × DC = HD × EB
Step-by-step explanation:
There are several ways you can go about solving this. The easiest way is to graph it with desmos. But I'll show you how to do it algebraically.
So what it means when it says the point of intersection is what is the ordered pairs.
Well we can do this using substitution since that might be easier
So since y = 2 - 0.5x we can substitute it into x - 2y = 8
That gets us:
x - 2(2 - 0.5x) = 8
Next distribute the -2:
x -4 + x = 8
Combine like terms and solve for x!
2x = 12
x = 6
Now substitute x into any of our y = 2 - 0.5x so we get
y = 2 - 0.5(6)
y = -1
So our answer is (6,-1)
