Given:
Triangle
height 14 inches
area 245 inches square

Formula in finding the area of a triangle is:

Area = (height * base) / 2

The base is missing, so we need to compute its value using the given figures.

245 = (14 * b) / 2
245 * 2 = 14b
490 = 14b
490/14 = b
35 = b

The base is 35 inches.

4 0

3 years ago

At the end of summer all sandals are marked down by 70%. If a pair of sandals originally cost $19.50, how much will it cost at t

aleksley [76]

70 percent off 19.50 would mean getting a discount of 13.65, so the final price of the sandals by the end of the summer should be 5.85

5 0

3 years ago

Which of the following is the graph of f(x) = -0.5|x+3| -2?

Tcecarenko [31]

Answer:

The last graph

Step-by-step explanation:

We transform functions in the following ways:

multiplying the function by a number to stretch or shrink it
multiplying by a negative to flip the orientation of the function
adding/subtracting a value to the input x to shift it horizontally
adding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.

Looking at the equation we can see $f(x)=-0.5\left|x+3\right|-2$

Vertically shrunk by 0.5
Negative leading coefficient to flip the graph's orientation
Horizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)
Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)

The last graph has vertex (-3,-2) and satisfies the the equation.

7 0

3 years ago

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