Find f(-3) for f(x) = 4(2)^x
- D.-24
((−3)(4))(2)
=(−12)(2)
=−24
A rectangle has a length that's 9 inches less than twice it's width the area of the rectangle is 180 square inches. Write and eq
2 answers:
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<h2>Answer:</h2>
We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:
Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:
Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:
Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:
Step 4: solve for z, then for y, then for x:
By substituting into the first equation, we get the
. So:
The area of the triangle can be found by copying the triangle and putting the bases together such that it forms the diagonals of the triangle.
<h3>What is the area of the triangle?</h3>The area of the triangle is half the product of the height of the triangle and the base of the triangle.
As we know that the area of a rectangle is double the area of a triangle,
therefore, in order to calculate the area of a triangle we need to convert it to a rectangle and then divide the area of the rectangle by 2.
Also, we know that the diagonal of a rectangle divides it into two equal triangles, therefore, we will put the triangle along the diagonal of the base.
Thus, to find the area of the triangle we will copy the triangle and put the base of the together such that it forms the diagonals of the triangle.
Since the triangles are put on each other along the base, therefore, the height(h) of the triangle will be the length of the rectangle, and the breadth of the triangle will be equal to the base of the triangle(b).
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