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Ipatiy [6.2K]
3 years ago
14

Area of a rectangle is 36 what is x if the width is x and length is x+5

Mathematics
1 answer:
Reika [66]3 years ago
5 0
If the length is x+5, the width would be x(x+5)=36
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Suppose that a, b \in \mathbb{Z}a,b∈Z, not both 00, and let d=\gcd(a, b)d=gcd(a,b). Bezout's theorem states that dd can be writt
lara [203]

Answer:

Step-by-step explanation:

Recall that we say that d | a if there exists an integer k for which a = dk. So, let d = gcd(a,b) and let x, y be integers. Let t = ax+by.

We know that d | a, d | b so there exists integers k,m such that a = kd and b = md. Then,

t = ax+by = (kd)x+(md)y = d(kx+my). Recall that since k,  x, m, y are integers, then (kx+my) is also an integer. This proves that d | t.

3 0
3 years ago
Point B is a point of tangency. Find the radius r of OC.<br> А 9<br> B<br> r<br> n
insens350 [35]

Answer:

Radius, r, is 3.75

Step-by-step explanation:

From the given diagram,

AB = 9

AC = 6 + r

BC = r

Thus applying the Pythagoras theorem, we have;

/AC/^{2} = /AB/^{2} + /BC/^{2}

(6 + r)^{2} = 9^{2} + r^{2}

36 + 12r + r^{2} = 81 + r^{2}

collecting like terms,

12r = 81 - 36

12r = 45

r = \frac{25}{12}

   = 3.75

r = 3.75

The radius is 3.75.

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3 years ago
ΔABC is dilated by a scale factor of 0.25 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (-1,
Leni [432]

Answer:

5

Step-by-step explanation:

To find B and C prime, you must multiply them by .25, or 1/4.


B' =  

(-2 x .25),(1 x .25)


I did mine in fraction form, because it will prove to be more useful in future mathematics.


B' = (1/2  ,  1/4)


Repeat the process with C.


C' =

(14 x .25),(17 x .25)


C' =

(7/2  ,  17/4)




You only need to focus on B and C because you are finding the length of B'C'.


The formula for distance is the square root of x to the sub of 2 minus x to the sub of 1 squared minus y to the sub of 2 minus y to the sub of 1 square.


x2 -  x1 =  7/2  -  1/2  =  6/2  =  3 squared  =  9


y2 - y1 = 17/4 - 1/4 = 16/4  =  4 squared = 16


16 + 9  = 25


Square root of 25 is 5.


Therefore, the distance is 5.


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3 years ago
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grin007 [14]
132 degrees
37 degrees
169 degrees
180 degrees
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