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insens350 [35]
3 years ago
9

Need help with this math question

Mathematics
1 answer:
Yanka [14]3 years ago
5 0

Answer:

scale factor

Step-by-step explanation:

A vocabulary term is what it is. Often, there is no explanation.

To change (multiply by a constant) every dimension of a figure is to scale it; the number by which it is scaled is a <em>scale factor</em>.

<em>Area</em> and <em>Volume</em> are parameters of a figure. <em>Enlargement</em> is the process or the result of the process of making things larger (generally). The enlargment may actually be a reduction if the scale factor is less than 1.

A <em>coefficient</em> is the multiplier of some variable or variable term. It is often a constant, but may not be. An equation involving figure dimensions may use a scale factor as a coefficient, but in general, the terms are unrelated.

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Suppose a circle with center (14, 9) passes through point (16, 12). Which equation represents the circle?
kumpel [21]

Answer:

The equation that represents the circle is (x-14)^{2} + (y-9)^{2} = 13

Step-by-step explanation:

Given the center of circle (14,9) passes through point (16,12)

We know that the equation of circle is

(x-h)^{2} + (y-k)^{2} = r^{2}

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

From given data (x,y) is (16,12) and (h,k) is (14,9). Substituting these values in equation of circle, we get

(16-14)^{2} + (12-9)^{2} = r^{2}

r^{2} = 2^{2} + 3^{2}

r^{2} = 13

Substituting the values of (h,K) and  r^{2} as (14,9) and 13 respectively in equation of circle, we get

(x-14)^{2} + (y-9)^{2} = 13

Hence the equation that represents the circle is (x-14)^{2} + (y-9)^{2} = 13

7 0
3 years ago
Please help.
natka813 [3]

Answer:

2,4,6 and 8 are all 40degrees that means 1,3,5 and 7 are 140 degrees. 2,4,6, and 8 are at a diagonal that allows them to equal eachother. because 2 is given 40degrees as the angle 4,6 and 8 must also be 40 degrees. a flat line is 180 degrees. 180-40=140

you have vertical angles alternate interior, alternate exterior

Step-by-step explanation:

Vertical Angles: a pair of opposite congruent non-adjacent angles formed by intersecting lines; share a vertex

Alternate Interior: when a transversal intersects two lines, alternate interior angles are on opposite sides of the transversal and on the inside of the given lines

Alternate Exterior: when a transversal intersects two lines, alternate exterior angles are on opposite sides of the transversal and on the outside of the given lines  They are congruent.

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