Answers:
5. x = 1
6. y = 11.5
Step-by-step explanation:
For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:
AC * CD = BC * CE
You can substitute the values you are given to get:
2 * 4 = x * 8
This gives you x = 1
For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:
GH * GJ = GI * GK
Using segment addition postulate, you get:
GJ = GH + HJ = 5 + 16 = 21
GK = GI + IK = 6 + y --> y + 6
Now, substitute into the equation from power of a point:
5 * 21 = 6 * (y + 6)
105 = 6 * (y + 6)
17.5 = y + 6
y = 11.5
Answer: 16(x + 3)
Step-by-step explanation: When you're asked to a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.
So what is the greatest common factor of 16x and 48?
The greatest common factor of 16x and 48 is 16 because
it's the largest number that divides evenly into 16 and 48.
The x does not qualify because it must appear in every term
to qualify for the GCF but here, it only appears in one term.
So a 16 factors out leaving us with each term divided by it
inside a set of parentheses so w eget 16(x + 3).
Notice that if we distributed the 16 through both terms,
we would end up with our original polynomial.
4. 70
5. 80
6. 151
7. 73
8. 741
9. 7,739
or you can use the calculator next time
Answer:
Ella sold the each print for the cost of $57.21.
Step-by-step explanation:
The total number of prints sold at gallery = 52
Total amount it is sold for = $2,975
Noe, If 52 prints are sold for $2,975.
⇒
or, Cost of 1 print = $57.21
So, Ella sold the each print for the cost of $57.21.
1). Enrico Fermi directed construction of the the thing
that achieved the first sustained nuclear chain reaction,
under the stadium at the University of Chicago.
3). 'Fission' means splitting one big thing up into several
smaller things.
4). The atomic mass of an atom is close to the sum of all
the neutrons and protons in its nucleus.
5). 'Fusion' means several small things joining to form a
bigger thing.
6). Henri Becquerel is credited with discovering radioactivity.
7). The names of Madame Marie and Mssr. Pierre Curie were
appropriated after their deaths and used as the unit of radiation.
2). I have no idea what that symbol means, but 'neutron' is
the only choice left.
