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8090 [49]
3 years ago
7

The points (4,- 4) and (4,- 6) lie on a circle with a radius of 1. Find the center point of the circle.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0

If we intersect the circle of radius 1 around (4,-4) and the circle of radius 1 around (4,-6) they'll intersect at the center of circle radius 1 that has both those points.  

Here we don't really have to do any math.  It's clear that the midpoint (4,-5) is 1 away from both (4,-4) and (4,-6) so that's our answer:

Answer: (4,-5)

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From a pile of 100 pennies(P), 100 nickels(N), and 100 dimes(D), select 21 coins which have a total value of exactly $1.00. In y
Murrr4er [49]
So, you need 10 penny, 4 nickles and 7 dimes
Lets, check it.
According to the question,
total coins = 21
7 + 4 + 10 = 21
21 = 21.........................................true
Now,
their value should equal $1.00 = 100 cents
Penny = 1 cent
nickle = 5 cent
dime = 10 cent,
So,
(10 *1) + (4 * 5) + (7 * 10) = 100
10 + 20 + 70 = 100
100 = 100......................................true

 
So, you need 10 penny, 4 nickle, and 7 dimes
4 0
2 years ago
Two groups went bowling. Here are the scores from each group.
vladimir2022 [97]

Answer:

Group A has greater variability

Step-by-step explanation:

Group A: 80, 100, 190, 110, 70, 90, 130

The variability of group A data :

Taking the range :

Maximum  = 190 ; Minimum = 70

Range = Maximum - Minimum ; 190 - 70 = 120

Group B : 50, 110, 100, 120, 107, 140, 150

The variability of group B data :

Taking the range :

Maximum  = 150 ; Minimum = 50

Range = Maximum - Minimum ; 150 - 50 = 100

Hence, Group A has greater variability

6 0
2 years ago
Answer... please i need
FrozenT [24]

Answer:9/6 or simplified 1 1/2

Step-by-step explanation:

7 0
1 year ago
Read 2 more answers
find the equation of a straight line passing through the point (3,3) which is perpendicular to the line y=-1/2x-4
Mars2501 [29]

Answer:

y = 2x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{1}{2} x - 4 ← is in slope- intercept form

with slope m = - \frac{1}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (3, 3) into the partial equation

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 2x - 3 ← equation of perpendicular line

4 0
3 years ago
Dan is on his way home in his car. He has driven 10 miles so far, which is one-half of the way home. What is the total length of
dusya [7]

Answer:

20 miles

Step-by-step explanation:

10miles × 2 = 20miles

3 0
3 years ago
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