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Answer:
3√5 or ≈ 6.71
Step-by-step explanation:
The Distance Formula is d = √((x2-x1)² + (y2-y1)²)
<u>Given Points:</u> (-3, 2) and (0, -4)
<u>Points:</u> (x1, y1) and (x2, y2)
<u>Find the difference between coordinates:</u>
(x2 - x1) = (0 - (-3)) = 3
(y2-y1) = (-4 - 2) = -6
<u>Square the results and sum them up:</u>
(3)² + (-6)² = 9 + 36 = 45
<u>Now Find the square root and that's your result:</u>
Exact solution: √45 = 3√5
Approximate solution: 6.7082
Learn more about the Distance Formula here: brainly.com/question/661229
Answer:
95
Step-by-step explanation:
Average =
Sum
Count
=
332
4
= 83
<span>The focus is a point and the directrix is a line.
The parabola has the equation as follows:
(x - h)² = 4p(y - k)
where (h,k) is the vertex, p is the distance from
the vertex to the focus and also the distance </span>from the vertex to the focus. <span> The </span>focus <span>is (h, k + p) and the directrix is y = k - p
We can now write the equation.
</span>(x - h)² = 4p(y - k)
(x - 1)² = 4p(y - 2)
y= 2.5 = k-p = 2 - p
p = -0.5
(x - 1)² = 4(-0.5)(y - 2)
(x - 1)² = -2 (y - 2)
The focus would be
(1 , 2 + -0.5)
(1 , 1.5 )
For given parallelogram, the value of x = 114° and y = 66°
<h3>Explanation: </h3>
<em>(Refer figure)</em>
Given quadrilateral ABCD is a parallelogram.
m∠A = 66°
m∠B = x°
m∠C = y°
m∠D = 114°
Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.
Opposite angles of a parallelogram are congruent ...........................(1)
Consecutive angles of a parallelogram are supplementary ................(2)
Using (1) for given parallelogram ABCD; we get,
m∠B = m∠D
m∠A = m∠C
Therefore x = 114° and y = 66°.
Using (2) to check whether the two consecutive angles are supplementary.
( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°