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Mathematics

1 answer:

masha68 [24]3 years ago

3 0

Wat fraction post a pic of the problem

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The diameter of a circle is 14 yards. What is the circle's circumference?

yarga [219]

Answer:

The circle's circumference is equal to 14π yards.

General Formulas and Concepts:

Geometry

Circumference of a Circle Formula: C = πd

d is the diameter of the circle

Step-by-step explanation:

Step 1: Define

Identify.

d = 14 yds

Step 2: Find Circumference

Substitute in variables [Circumference Formula]: C = 14π yds

Topic: Geometry

3 0

2 years ago

The value of the 4th term is 80. the sequence is being doubled each step what is the 7th term?

leva [86]

This is a geometric sequence with common ratio (r) = 2.
an = ar^(n - 1)
a4 = a(2)^(4 - 1) = a(2)^3 = 8a
8a = 80
a = 80/8 = 10

7th term (a7) = 10(2)^(7 - 1) = 10(2^6) = 10(64) = 640

8 0

3 years ago

the line y=2x-4 is dilated bt a scale factor of 3/2 and centered at the origin. Write an equation that represent that image of t

Veseljchak [2.6K]

Answer: $y = 2x -6$

Step-by-step explanation:

Since, If (x,y) represents the coordinates of a line, then after dilation about the origin by the scale factor k, the coordinates of the resultant line will get by the rule,

$(x,y)\rightarrow (kx,ky)$

Here, The equation of the given line is,

y = 2x - 4

x-intercept and y-intercept of the line are (2,0) and (0,-4) respectively,

Hence, the line y = 2x - 4 will be passes through the points (2,0) and (0,-4),

By the above property,

The dilated line about the origin will be passes through the points (3,0) and (0,-6), ( Because (3/2× 2, 3/2×0) = (3,0) and (3/2×0, 3/2×-4) = (0,-6) )

Hence, the equation of transformed line after dilation,

$y-0 = \frac{-6-0}{0-3}(x-3)$