What should be done to solve the equation? x+14=21 Add 14 to both sides of the equation. Subtract 14 from the left side of the e
2 answers:
Answer:
Last option: Subtract 14 from both sides of the equation.
Step-by-step explanation:
To solve the equation you must solve for the variable "x".
To calculate the value of the variable "x" it is important to remember the Subtraction property of equality. This states that:
Therefore, applying this property, you should subtract 14 from both sides of the equation to find the value of the variable "x". Then:
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Answer:
The coordinates of HF are (1, 4)
Step-by-step explanation:
The parameters of the line are;
The coordinate of the end points are H = (-11, 7), and J = (5, 3)
The ratio by which the point F divides the line = 3:1
The segments in the line are HF, and FJ
Therefore;
The fraction of the length of HJ that is represented by HF = 3/(3 + 1) × HJ = 3/4 × HJ
HF = 3/4 × HJ
Which gives the coordinates of the point F as follows;
Coordinate of F = (-11 +(5 - (-11))×3/4, 7 + (3 - 7)×3/4) = (1, 4)
The coordinates of F are (1, 4)
We check the length of HF, from the equation for the length to of a line to get;
Similarly, we check the length of HJ, to get;
The length of HF = 3·√(17)
The length of HJ = 4·√(17)
Therefore, from HF = 3/4× HJ, we have;
HF = 3/4 × 4·√(17) = 3·√(17)
Therefore, the coordinates of HF are (1, 4)