Write an equation in point slope form of a line passing through 3,6 having a slope of 1/3

Mathematics

1 answer:

irina [24]1 year ago

8 0

Step-by-step explanation:

<h3>fggggggfttgttthhhbbbbbbbbbbbhbb</h3>

hhhhhnnnnnnnnnbnhhhjhnnhhjj

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Which of the following possibilities will NOT form a triangle? (5 points)

ruslelena [56]

<h3>Answer: Choice A</h3>

Side = 5 ft, side = 15 ft, side = 3 ft

Explanation:

The two sides 5 ft and 3 ft add to 5+3 = 8 ft which is not larger than the 15 ft side. This is exactly why a triangle is not possible here.

If we want a triangle to happen, then adding any two sides must be larger than the third side.

If we want a triangle with sides a,b,c, then we need the following to be true

a+b > c
a+c > b
b+c > a

Refer to the triangle inequality theorem for more information.

3 0

1 year ago

Circle 1: center (8, 5) and radius 6

PolarNik [594]

We have that
Circle 1: center (8, 5) and radius 6
Circle 2: center (−2, 1) and radius 2

we know that
the equation of a circle is
(x-h)²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4

using a graph tool
see the attached figure

Part A)What transformations can be applied to Circle 1 to prove that the circles are similar?

we know that
r1/r2---------> 6/2------> 3

to prove that the circle 1 and circle 2 are similar, the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down

the answer part A) is
the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down

Part B) What scale factor does the dilation from Circle 1 to Circle 2 have?

the answer Part B) is
the scale factor is (3/1)