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2 years ago

Simplify: √ (50x^7y^6)

1 answer:

5 0

$\sqrt{50x^7y^6} = 50^{\frac{1}{2}} (x^7)^{\frac{1}{2}} (y^6)^{\frac{1}{2}} = 50^{\frac{1}{2}}x^3 x^{\frac{1}{2}}y^3 = 5(2)^{\frac{1}{2}}x^3x^{\frac{1}{2}}y^3$

$5(2)^{\frac{1}{2}}x^3x^{\frac{1}{2}}y^3 = 5x^3y^3 \sqrt{2x}$

Your answer is $5x^3y^3 \sqrt{2x}$

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2 years ago

Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is $(x_1,y_1)=(-3, 2)$

Equation of a circle with center $(h,k)$ and radius 'r' is given as:

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

Here, $(h,k)=(5,-4)$

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

$r^2=(h-x_1)^2+(k-y_1)^2$

Using distance formula for the points (5, -4) and (-3, 2), we get

$r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

4 0

3 years ago

The area of a square is tripled by adding 10 cm to one dimension and 12 cm to the other. Determine the side length of the square

Rina8888 [55]

Area = length *width
A = x²
3x² = (x+10)(x+12)
3x² = x²+10x+12x+120
3x² = x²+22x+120
3x²-3x² = x²+22x+120-3x²
0 = -2x²+22x+120
Factor to solve for x:
-2(x²-11x-60)
(x+4)(x-15)
x = -4 & x = 15 but we can't have a negative length so we eliminate 4. The length of the square is 15 cm.

4 0

2 years ago

PLEASE HELP ILL GIVE BRAINLIEST IF THE ANSWERS CORRECT

pickupchik [31]

The answer is 4 1/2 (four and a half).

5 0

1 year ago

Read 2 more answers

What is the answer to 4m+7=-3m+49

solong [7]

4m + 7 = -3m + 49
4m + 3m = 49 - 7
7m = 42
m = 42/7
m = 6

So, your final answer is 6

Hope this helps!

8 0

2 years ago