<em>Equation of a Sphere. The general equation of a sphere is: (x - a)² + (y - b)² + (z - c)² = r², where (a, b, c) represents the center of the sphere, r represents the radius, and x, y, and z are the coordinates of the points on the surface of the sphere.</em>
Answer:
13 and 32 are the two numbers
x = 32, y = 13
Step-by-step explanation:
x + y = 45
19 + x = y
Use Substitution Method:
19 + x + x = 45
2x + 19 = 45
2x = 26
x = 13
Solving the expression we get -2.
Comparing the solution with the one given, you can find the errors.
Step-by-step explanation:
We need to simplify and identify errors.
Since the steps are not shown, so we cannot identify errors but I can solve the expression and you can compare to find errors.
Simplifying:
Using algebraic rule: if one digit has positive (+) sign and other digit has negative (-) sign then we will perform subtraction. and after subtraction, the sign of bigger value will be the sign of result.
Using the rule and solving:
Solving the expression we get -2
Comparing the solution with the one given, you can find the errors.
Keywords: Simplifying expressions
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Answer:
It is not a rectangle
Step-by-step explanation:
A rectangle is a shape with 4 sides, such that we have two pairs of parallel sides, where the length of the parallel sides is equal.
so we have two parallel sides with length L and two parallel sides with length L'.
In this figure ,we can see two sides with length 20 and other two with length 21, and this is a rectangle only if the sides meet at 90°degree angles (this would mean that the opposite sides are parallel)
To see this, we can think that the triangle formed by the diagonal and two sides is a triangle rectangle, then using the Pythagorean theorem we should have that:
20^2 + 21^2 = 28^2
841 = 784
So this is not a triangle rectangle, meaning that the angle between the side of 20 and the side of 21 is not a right triangle, then the figure is not a rectangle.
Therefore, it is not a rectangle
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Answer:
134
Step-by-step explanation:
There's 2 blue arrows where 39 is, and the same arrows where 4x+7 are. This means that they are the same length. So, 4x+7 = 39. Perimeter means you add, so 28+28+39+39 = 134.