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11111nata11111 [884]
3 years ago
8

Rewrite 1/(√x-5) in an equivalent form with a rational expression in the denominator.

Mathematics
1 answer:
sladkih [1.3K]3 years ago
4 0

Answer:

1/(√x-5)*(√x+5)/(√x+5)

Step-by-step explanation:

1/(√x-5)*(√x+5)/(√x+5)

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Please answer and explain how you did it.
alukav5142 [94]

Refer to the attached image.

Given: m \angle A = 65^\circ and measure of exterior angle at C = 117^\circ.

We have to determine the measure of angle B and angle BCA.

By applying exterior angle property of the triangle which states:

"An exterior angle of a triangle is equal to the sum of the opposite interior angles".

So, exterior angle C = m \angle A + m \angle B

117^\circ = 65^\circ+ m \angle B

m \angle B = 52^\circ

Now, applying angle sum property in triangle ABC which states:

"The sum of all the angles of a triangle is 180 degrees".

m \angle A + m \angle B + m \angle BCA = 180^\circ

65^\circ + 52^\circ + m \angle BCA = 180^\circ

117^\circ + m \angle BCA = 180^\circ

m \angle BCA = 180^\circ - 117^\circ

m \angle BCA =63^\circ

Therefore, the measure of m \angle B = 52^\circ and m \angle BCA =63^\circ.

8 0
3 years ago
How many solutions does this equation have 3(x+1)-5=3x-2
4vir4ik [10]

Answer:

Infinite.

Step-by-step explanation:

3(x+1)-5=3x-2

3x+3-5=3x-2

3x-2=3x-2

True for any number.

6 0
3 years ago
Read 2 more answers
Simplify 5 √16 + 12 √54 - 3 √8
USPshnik [31]

20+36. l6-6/2

v. v

decimal form

99.69634936

8 0
2 years ago
OLIVE
RoseWind [281]

Answer:

The slope is 2/3

Step-by-step explanation:

m=y²-y1/x²-x¹

m=6-4/5-2

m=2/3

6 0
3 years ago
What is the radius of the circle given by the equation (x-2)^2+y^2=14
Rainbow [258]
The general equation of a circle is
 (x-a) ^ 2 + (y-b) ^ 2 = r ^ 2
 for this case the values of a and b are
 a = 2
 b = 0
 The radius of the circle is
 r ^ 2 = 14
 r = (14) ^ (1/2) = 3.74

8 0
3 years ago
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