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3 years ago

Which line is parallel to line ? Oline p O line a O lines O line 1

Mathematics

1 answer:

laila [671]3 years ago

4 0

Answer:

o lines

Step-by-step explanation:

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2 years ago

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3 years ago

The price of a house DECREASED from $82500 to $77500. Calculate the PERCENTAGE DECREASE

Igoryamba

Answer:

6.06%

Step-by-step explanation:

$percentage \: decrease \\ \\ = \frac{82500 - 77500}{82500} \times 100 \\ \\ = \frac{5000 \times 100}{82500} \\ \\ = \frac{500000}{82500} \\ \\ = 6.06060606 \\ \\ = 6.06 \%$

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3 years ago

Zach's Italian pizza bar bates 2000 pizzas in the first year that are open. In the second year they baked 3,000 pizzas and in th

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3 years ago

Read 2 more answers

Make and explain a prediction about the nature of the solution to the following system of equations, and then solve the system.

Dominik [7]

Answer:

(3,-4) and (-3,4)

Step-by-step explanation:

$x^2+y^2=25$

$4x+3y=0$

The first equation is a circle with radius of 5 units

The second equation is a line which has slope $\frac{4}{3}$

So, for 4 unit change in y there will be 3 unit chang in x.

The circle has its center at the origin and the line passes through the orgin.

The line will intersect the circle at two points giving us two solutions

From the second equation we get

$y=-\frac{4}{3}x$

Applying in the second equation

$x^2+\left(-\frac{4}{3}x\right)^2=25\\\Rightarrow x^2+\frac{16}{9}x^2=25\\\Rightarrow \frac{9x^2+16x^2}{9}=25\\\Rightarrow 25x^2=225\\\Rightarrow x^2=\frac{225}{25}\\\Rightarrow x^2=9\\\Rightarrow x=\pm 3$

When x = 3

$y=-\frac{4}{3}x\\\Rightarrow y=-\frac{4}{3}\times 3\\\Rightarrow y=-4$

When x = -3

$y=-\frac{4}{3}x\\\Rightarrow y=-\frac{4}{3}\times -3\\\Rightarrow y=4$

So, the points where the line and circle intersect are (3,-4) and (-3,4)

6 0

2 years ago