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Sliva [168]
3 years ago
10

What is the area of rhombus ABCD ? Enter your answer in the box. Do not round at any steps. units² Rhombus A B C D on a coordina

te plane with vertex A at negative 1 comma 4, vertex B at 3 comma 2, vertex C at negative 1 comma 0, and vertex D at negative 5 comma 2. Point P is at negative 3.4 comma negative 1.2. Dashed segments join point P to point D and point P to point C, forming right angle D P C.

Mathematics
1 answer:
Luda [366]3 years ago
6 0

Answer:

  16 units²

Step-by-step explanation:

Diagonal AC is a vertical line extending from y=0 to y=4, so is 4 units long.

Diagonal BD is a horizontal line extending from x=-5 to x=3, so is 8 units long.

The area of a rhombus is half the product of the lengths of the diagonals, so ...

  A = (1/2)(4 units)(8 units) = 16 units²

The area of rhombus ABCD is 16 units².

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If the slope is 2 and the line goes through (3,-3) what is the equation?
motikmotik

Answer:

y = 2x -9

Step-by-step explanation:

To find the equation of a line using slope and a point, first use the slope to create the basic line using the slope and work from there.

For instance, the base equation here is

y = 2x

This line passes through the point (0, 0).

You can then plug in a value for x. In this case, use the value of 3, as it corresponds with your question.

y = 2 * 3

A point on the line of y = 2x would thus be (3, 6).

To make the y-value equal -3, you must then subtract from the original equation. There are 9 units between 6 and -3, so you must subtract nine units in the equation. You should get this at the end:

y = 2x -9

6 0
3 years ago
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4 0
3 years ago
What is the average rate of change for this exponential function for the interval from x=2 to x=4?
mario62 [17]

The equation to calculate the average rate of change is: y/x

y = f(x2) - f(x1)x = x2 - x1

x1: 1 (The smaller x value. It can be any number)x2: 2 (The larger x value. It also can be any number)f(x1): The value when you plug x1 into the function.f(x2): The value when you plug x2 into the function.

If we know this, the variables for this problem are assuming the function is 10(5.5)^x:

x2: 2x1: 1f(x2): 10(5.5)^(2) = 302.5f(x1): 10(5.5)^(1)= 55

This means:y = 302.5  - 55 = 247.5x = 2 - 1 = 1

Remember: the equation for avg rate of change is y/x

So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)

5 0
3 years ago
Read 2 more answers
3/12 ÷ 6/12 ????????????
Ahat [919]

Answer:

The answer is 0.5, or 1/2.

3/12 ÷ 6/12 = 1/2

Hope this helps!


4 0
3 years ago
7th grade math help me plzzzz
Nataly_w [17]

Answer:

<h3>The correct answer is <u>D: -30</u></h3>
5 0
3 years ago
Read 2 more answers
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