Answer:
I would say that the answer is 1000=273+m
Answer:
The maximum power generated by the circuit is 300 watts.
Step-by-step explanation:
A quadratic function is one that can be written as an equation of the form:
f (x) = ax² + bx + c
where a, b and c (called terms) are any real numbers and a is nonzero.
In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.
The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.
The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:
- The value of x, in this case the value of current c in amperes, can be calculated with the formula
. In this case: 
So c= 5 amperes. The current is 5 amperes. - The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts
<u><em>The maximum power generated by the circuit is 300 watts.</em></u>
14 is a multiple of 7 and 14
A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).
A. A dilation is a transformation that produces an image that is the same shape as the original, but is a different size (not an isometry). Forms similar figures or in other words preserves only angle measurement and ratio between sides lengths. In simple words, dilation means, it just resizes the given figure without rotating or anything else. It is not rigid transformation.
B. A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise. Rotation is rigid transformation, it means that rotation preserves sides lengths.
C. In a reflection transformation, all the points of an object are reflected or flipped on a line called the axis of reflection. Under reflection, the shape and size of an image is exactly the same as the original figure. This type of transformation is rigid.
D. In a translation transformation all the points in the object are moved in a straight line in the same direction. The size, the shape and the orientation of the image are the same as that of the original object. Same orientation means that the object and image are facing the same direction. This type of transformation is rigid.
Answer: correct choice is A.
Answer:
b= 9.17 ft
Step-by-step explanation:
The 4 feet from the wall is the bottom part of the triangle. The 10 ft. ladder is the hypotenuse of the triangle. Use the Pythagorean Theorem and substitute the known values.
a^2+b^2=c^2
4^2+b^2=10^2
Then square all the known values
16+b^2=100
Then get b by itself
b^2=-16+100
add -16 and 100
b^2=84
and finally square root both sides of the equation
b=9.16515 ft or 9.17 ft
