Using the elimination method, the value of x in the system of equations is calculated as: 8.
<h3>How to Solve a System of Equations by Elimination?</h3>To solve a system of equations given using the elimination method, do the following:
Multiply 2x - 5y = 1 by 2 and multiply -3x + 2y = -18 by 5 to get the following:
4x - 10y = 2 --> eqn. 1
-15x + 10y = -90 --> eqn. 2
Add
-11x = -88
Divide both sides by -11
x = 8
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Answer:
The vertex is the point (-6,-34)
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
In this problem we have
Convert in vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square . Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
The vertex is the point (-6,-34)
The measures of the angles of Δ DEF are 36° , 72° , 72°
Step-by-step explanation:
The sum of the measures of the interior angles in any triangle is 180°
In Δ DEF
The ratio between the measures of its interior angles is 2 : 4 : 4
To find the measure of each angle
1. Find the sum of the ratio between the measures of its angles
2. Divide 180° by the sum of the ratio
3. Multiply the quotient by each ratio
∵ The ratio between the measures of the angles of Δ DEF = 2 : 4 : 4
∴ The sum of the ratio = 2 + 4 + 4 = 10
→ m∠D : m∠E : m∠F : sum of the ratio
→ 2 : 4 : 4 : 10
→ ? : ? : ? : 180°
Divide 180 by 10, then multiply the quotient by the components of
the ratio to find the measure of each angle
∵ m∠D =
∴ m∠D = 36°
∵ m∠E =
∴ m∠D = 72°
∵ m∠F =
∴ m∠F = 72°
The measures of the angles of Δ DEF are 36° , 72° , 72°
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You can learn more about the ratio in brainly.com/question/2707032
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