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Elan Coil [88]
2 years ago
12

10. rhombus abcd has vertices at a(-2, 7), b(8, 7), c(2, -1), and d (-8, -1).

Mathematics
1 answer:
horrorfan [7]2 years ago
6 0

Answer: 80

Step-by-step explanation:

We can use the formula A=\frac{d_{1}d_{2}}{2}, where d_{1}, d_{2} are the lengths of the diagonals.

By the distance formula,

AC=\sqrt{(-2-2)^{2}+(-1-7)^{2}}=\sqrt{16+64}=4\sqrt{5}\\BD=\sqrt{(-8-8)^{2}+(-1-7)^{2}}=\sqrt{256+64}=8\sqrt{5}

So, the area is \frac{(4\sqrt{5})(8\sqrt{5})}{2}=\boxed{80}

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A system of equations has definitely many solutions. If 2y-4x=6 is one of the equations, which could be the other equation?
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The given equation is ⇒⇒⇒ 2y - 4x = 6

∴ 2y = 4x + 6   ⇒ divide all the equation over 2

∴ y = 2x + 3  and it can be written as ⇒⇒⇒ y - 2x = 3

The last equation represents a straight line with a slope = 2 and y-intercept = 3

To construct a system of equations with definitely many solutions and the equation ( 2y-4x=6 ) is one of the equations, the other equation must have the same slope and the same y-intercept.

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The system of equations which has definitely many solutions is consisting of <u>Coincident lines.</u>

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What is the nearest whole percent of 45
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g Recall the example about community college students and gender. Statistics students surveyed 135 students at Tallahassee Commu
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They can either decrease the confidence level or increase the sample size, that is, survey more students.

Step-by-step explanation:

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3 years ago
Someone please help me I’m so confused!!!
QveST [7]

Answer:

number one.  186in^{2}  number two.  36cm^{2}

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the area of a trapezoid formula is   \frac{a+b}{2} h where a and b are the bases and h is the height. so we have to add in the numbers into the formula

\frac{12+15}{2} * 6\\ = <em>81</em>

and the paralellogram formula is b×h.  where b is the base and h is height

15 × 7 = <em>105</em>

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FOR NUMBER TWO:

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hope this helps! ;)

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