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Arada [10]
3 years ago
9

A set of equations is given below:

Mathematics
1 answer:
TEA [102]3 years ago
6 0
The 3rd selection is appropriate.

.. 5b +1 = a = 3b +5
by the transitive property of equality,
.. 5b +1 = 3b +5
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On a venn diagram shade the region<br>a'n(bnc)​
svlad2 [7]

Answer:

See the three attached images.

Step-by-step explanation:

image1 shows the intersection of b and c:  b \cap c. (green "football")

image2 shows the <u>complement</u> of a (outside a):  a'  (yellow)

image3 shows the intersection of those sets:  a'\cap (b\cap c) (green "football with a bite out of it")   :-)

3 0
3 years ago
What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?
Natali5045456 [20]

Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

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

Given

Center = (h,k) = (-3,1)

=> h = -3

=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Given

(x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)

Putting the values in the formula

r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}

Putting the values of h,k and r in general form of equation

\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8

Hence,

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

4 0
3 years ago
A shipment of 10 computers contains 2 with defects. Find the probability that a sample of size 2​, drawn from the ​10, will not
Mrrafil [7]

Answer:

\frac{28}{45} .

Step-by-step explanation:

way_1:

according to the condition the probability for the 1st computer is 8/10=4/5;

for the 2d computer is 7/9. Then the final probability is P=4/5 * 7/9=28/45;

way_2:

the required probability can be calculated according the formula:

P=\frac{no-cases}{total-cases};

then

P=\frac{C^2_8}{C^2_{10}} =\frac{2!8!8!}{2!6!10!}=\frac{28}{45} .

8 0
2 years ago
There are 20 pens in a package. Ten of the pens are black, 8 are blue, and the rest are red.
icang [17]
If there are ten black pens, eight blue pens, and twenty pens in total, then there are 2 red pens. This means that the ratio of red to black is 2:10=1:5. Hope this helps!
3 0
3 years ago
Read 2 more answers
Which statement correctly describes the expression (-8)(-9)?
Sloan [31]
Both factors are negative so the result would be positive. C. Is the answer
7 0
3 years ago
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