Mathematics, 05.07.2019 06:00 jamaicalove2880

Meng is constructing the perpendicular bisector of mn¯¯¯¯¯¯¯ . she placed the compass point on m, opened the compass to more than half the length of segment, and drew an arc above point m. which move would be a correct next step to take? widen the compass opening, place the compass point back on point m, and draw an arc below mn¯¯¯¯¯¯¯ . keep the same compass opening, place the compass point on the arc, and draw an arc that intersects point n. keep the same compass opening, place the compass point back on point m, and draw an arc below mn¯¯¯¯¯¯¯ . keep the same compass opening, place the compass point on the arc, and draw an arc that intersects point m.

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She should keep the same compass opening, place the compass point back on point M, and draw an arc below the line segment MN.

Step-by-step explanation:

According to the rule of construction of perpendicular bisector, she should draw an arc both side of line segment without changing the opening of the compass.

So, her next step would be to take the third option, i.e. She should keep the same compass opening, place the compass point back on point M, and draw an arc below the line segment MN.

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Answer from: Quest

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

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Meng is constructing the perpendicular bisector of mn¯¯¯¯¯¯¯ . she placed the compass point on m, op...

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