Answer:
intersect at (-1,-3)
Step-by-step explanation:
y = 4x + 1. the points should be at (0,1) and (-0.25,0) and is an infinite line in both directions.
y = -2x - 5. the points should be at (-2.5,0) and (0,-5) and is an infinite line in both directions.
both the lines meet at (-1,-3) so make a point at that location
Answer:
(-1,4) is a solution to the system.
Step-by-step explanation:
For this problem, we can simply identify if this point is a solution by verifying the plugged in point values allow the left hand side to equal the right hand side.
(1) -2x - 3y = -10
-2(-1) - 3(4) ?= -10
2 - 12 ?= -10
-10 == -10
(2) -3x + y = 7
-3(-1) + (4) ?= 7
3 + 4 ?= 7
7 == 7
Since both equations are satisfied by this point, then we can say the point (-1,4) is a solution to the system. Additionally, this means this is a crossing point of the system of equations.
Cheers.
Answer:
They are complementary angles.
Step-by-step explanation:
62° + 28°
= 90°
Answer: x = ¹/₂ ± √⁸¹
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2
Step-by-step explanation:
First write out the equation
x² - x - 20
Now we now write the equation by equating to 0
x² - x - 20 = 0
We now move 20 to the other side of the equation. So
x² - x = 20,
We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes
x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²
x² - ( ¹/₂ )² = 20 + ¹/₄
( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction
( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4
Taking the square root of both side to remove the square,we now have
x - ¹/₂ = √⁸¹/₄
x - ¹/₂ = √⁸¹/₂
Therefore,
x = ¹/₂ ± √⁸¹
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2
Answer:
B. unit of account
Step-by-step explanation:
Accounts are kept in terms of units of account. Money serves as the unit of account when accounts are kept in terms of money.
