Answer:
The area of the shape after it has been enlarged by
scale factor 2 will be: 10 cm²
Step-by-step explanation:
The Area is basically a measure of how much space in square units there is inside an object.
As the shape is shown on the centimeter grid.
- The shape clearly occupies the space of 5-centimeter squares.
We also know that If the scale factor > 1, the image is enlarged.
As we know to determine the area of the shape after it has been enlarged by scale factor 2, all we need to do is to multiply the area of the original shape by 2.
The area of original shape = 5 cm²
The area of the shape after the dilation by a scale factor 2 = 5 × 2 = 10 cm²
Thus, the area of the shape after it has been enlarged by
scale factor 2 will be: 10 cm²
Answer:
60
Step-by-step explanation:
We have been given the matrix;
![\left[\begin{array}{ccc}5&8\\-5&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%268%5C%5C-5%264%5Cend%7Barray%7D%5Cright%5D)
For a 2-by-2 matrix, the determinant is calculated as;
( product of elements in the leading diagonal) - (product of elements in the other diagonal)
determinant = ( 5*4) - (8*-5)
= 20 - (-40) = 60
Given the simple interest formula:
I = P•R•T
where:
I = interest
P = principal
R = interest rate
T = time (in years)
We can isolate R algebraically to find out the interest rate:
I = P•R•T
Divide both sides by P•T:
I / (P•T) = (P•R•T)/(P•T)
The formula for the interest rate is:
R = I / (P•T)
Substitute the given values into this formula to solve for the interest rate (R):
R = I / (P•T)
R = $490/ ($1,400 • 5 years)
R = $490 / $7,000
R = 0.07 or 7%
Therefore, the interest rate is 7%.
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Answer: First option.
Step-by-step explanation:
The complete exercise is attached.
In order to solve this exercise, it is necessary to remember the following property:
The Multiplication property of Equality states that:
In this case, the equation that Jada had is the folllowing:
Jada needed to solve for the variable "x" in order to find its value.
The correct procedure to solve for for "x" is to multiply both sides of the equation by 108. Then, you get:
As you can notice in the picture, Jada did not multiply both sides of the equation by 108, but multiplied the left side by 
<em> </em>and the right side by 
.
Therefore,you can conclude that Jada should have multiplied both sides of the equation by 108.
