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LuckyWell [14K]
3 years ago
7

56 less than the quotient of a number and 4 is -52

Mathematics
1 answer:
const2013 [10]3 years ago
3 0
X - the number

The algebraic expression:
\frac{x}{4}-56=-52

The solution:
\frac{x}{4}-56=-52 \ \ \ |+56 \\
\frac{x}{4}=4 \ \ \ |\times 4 \\
x=16

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The endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
In-s [12.5K]
The longest chord on the circle is the diameter, and the center of the circle is the midpoint of the diameter.

Use the midpoint formula to find the center
((x1 +x2)/2 , (y1+y2)/2).. Just substitute them for the solution


the x-coordinates are the same, so you can just subtract the y-coordinates to find the radius. 
10.5 - 8 = 2.5

The equation of the circle is (x - h)² + (y - k)² = r² where r is the radius and (h, k) is the center.

(x - 4)² + (y - 8)² = 6.25
5 0
3 years ago
Read 2 more answers
WILL GIVE A BRAINLEST!!!!!!
Andrej [43]
We have that
<span>(c-4)/(c-2)=(c-2)/(c+2) - 1/(2-c)
 </span>- 1/(2-c)=-1/-(c-2)=1/(c-2)

(c-4)/(c-2)=(c-2)/(c+2)+ 1/(c-2)------- > (c-4)/(c-2)-1/(c-2)=(c-2)/(c+2) 
(c-4-1)/(c-2)=(c-2)/(c+2)---------------- > (c-5)/(c-2)=(c-2)/(c+2)

(c-5)/(c-2)=(c-2)/(c+2)------------- > remember (before simplifying) for the solution that c can not be 2 or -2
(c-5)*(c+2)=(c-2)*(c-2)------------------ > c²+2c-5c-10=c²-4c+4
-3c-10=-4c+4----------------------------- > -3c+4c=4+10----------- > c=14

the solution is c=14
 
the domain of the function is (-∞,-2) U (-2,2) U (2,∞) or 
<span>all real numbers except c=-2 and c=2</span>


5 0
3 years ago
Read 2 more answers
AC is diagonal of square ABCD, and the length of AC is 4. What is the area of the square?
dybincka [34]
Option d.
as we know the corner of a square is always 90°. So we can apply that (side of the square)^2+(side of the square)^2 = (diagonal of the side)^2

(side of the square)^2+(side of the square)^2 = 16
16/2=8
8=(side of the square)^2
side of square= squareroot of 8
area of square= squareroot of 8^2=8
hence answer is 8

8 0
3 years ago
Is the histogram uniform, symmetric, or skewed?
aleksandrvk [35]

Answer:

skewed to the left

Step-by-step explanation:

when you look at the graph, you look for where the peaks are. if the peak is not centered, it is skewed. in this case, it leans towards the left. hope this helps :)

4 0
3 years ago
What is .25 written in the simplest fraction form
Alekssandra [29.7K]
1/4 is .25 as a fraction
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3 years ago
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