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maks197457 [2]
3 years ago
13

201%29%20" id="TexFormula1" title=" log_{3}( {x}^{2} - x - 2) = 2 log_{3}(x + 1) " alt=" log_{3}( {x}^{2} - x - 2) = 2 log_{3}(x + 1) " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
user100 [1]3 years ago
5 0
There are no values of x that make the equation true so no solution.
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Percy Cod takes a walk around the perimeter path of his local park. The park is in the shape of a rectangle which is 400m wide a
lozanna [386]

Answer:

2800m

Step-by-step explanation:

Assumption:

Start point from which Percy Cod walks is "x"

If he walks around a perimeter that is the shape of a rectangle,

Length of area = L = 1000m

Width of area = W = 400m

Distance around the rectangle = D = 2 * (L + W)

D = 2 * (400+1000)

D = 2 * 1400

D = 2800m

4 0
2 years ago
The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i
Hunter-Best [27]

Answer:

(x+3)^2+(y+11)^2=121

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

  • Blue line is given by y = 4x + 1.
  • Point B is the center of the circle.
  • Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

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

then with h = -3, k = -11 and r= 11, the equation of our circle is

(x+3)^2+(y+11)^2=121

5 0
3 years ago
Tbh I'm just too lazy to actually do this and my head hurts from the rest of my school work so I'm just asking it on here -2/5 +
Leto [7]

Answer:

1/10

Step-by-step explanation:

-2/5 + 1/2

-4/10 + 5/10

-4 + 5/10

= 1/10

Hope this helps!

6 0
3 years ago
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This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t
sergey [27]
Because it is an isosceles triangle, the two longer sides are the same length. Therefore multiply 6.3 times 2.
To find the length of the base subtract 12.6 from 15.7 to get 3.1 cm.
8 0
3 years ago
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Which two ratios form a proportion?
Alex17521 [72]

Step-by-step explanation:

4 and 5 is one 20/25

3 0
3 years ago
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