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3 years ago

Which line is parallel to line r? line p line q line s line t

Mathematics

2 answers:

MAVERICK [17]3 years ago

4 0

Keywords:

<em>lines, plane, parallel </em>

For this case we have five lines in a plane, and they ask us to find which of the four remaining lines is parallel to the line "r". We know that, by definition, two lines are parallel when they meet in the same plane, they maintain a certain distance between them, that is, if both prologue to infinity, they never intersect. Thus, the line parallel to line "r" must be line "s".

Answer:

The line parallel to the line "r" is the line "s"

Lesechka [4]3 years ago

3 0

Hello!!! I am also working on this test and yes the answer would be Line s.
Hope this helps!!!! :)

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Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the

KonstantinChe [14]

Answer:

The center of the circle is

$(-\frac{3}{2},2)$

Step-by-step explanation:

Let the equation of the circle be

$x^2+y^2+2ax+2by+c=0$ , where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

$0^2+0^2+2a(0)+2b(0)+c=0$

$\implies c=0$

B(-3,0)

$(-3)^2+0^2+2a(-3)+2b(0)+c=0$

$\implies 9+0-6a+0+c=0$

$\implies -6a+c=-9$

But c=0

$\implies -6a=-9$

$\implies a=\frac{3}{2}$

C(1,2)

$1^2+2^2+2a(1)+2b(2)+c=0$

$1+4+2a+4b+c=0$

$2a+4b+c=-5$

Put the value of 'a' and 'c' to find 'b'

$2(\frac{3}{2})+4b+0=-5$

$3+4b+0=-5$

$4b=-5-3$

$4b=-8$

b=-2

Hence the center of the circle is

$(-\frac{3}{2},2)$

8 0

3 years ago

Use rounding to estimate the product

sdas [7]

Answer:

The estimate of the product is about 35 answer C

Step-by-step explanation:

- We use rounding to estimate the product of two fractions

- The mixed number has whole number and fraction

- To round the mixed number we look to the fraction

- If the numerator is half or greater than half the denominator, then we

add the whole number by 1 and cancel the fraction

- If the numerator is less than half the denominator, then we keep the

whole number as it and cancel the fraction

- Ex: If the mixed number is $2\frac{3}{4}$ , 3 is more than

half 4 then we will add 2 by 1 and cancel the fraction part, the

mixed number $2\frac{3}{4}$ after rounding is 3

- Ex: If the mixed number is $5\frac{1}{4}$ , 1 is less than

half 4 then we will keep 5 as it and cancel the fraction part, the

mixed number $5\frac{1}{4}$ after rounding is 5

* Lets solve the problem

∵ In the part $4\frac{3}{4}$ 3 is more than half 4

∴ The rounding value of $4\frac{3}{4}$ is 5

∵ In the part $7\frac{2}{17}$ 2 is less than half 17

∴ The rounding value of $7\frac{2}{17}$ is 7

∴ $4\frac{3}{4}*7\frac{2}{17}=5*7=35$

* <em>The estimate of the product is about 35</em>

6 0

3 years ago

Find the area of the following shape

blsea [12.9K]

Answer:

56.8 m²

Step-by-step explanation:

This shape is clearly a trapezium / trapezoid. So :

Area of a trapezium is given by the formula :

$\frac{a+b}{2} h$

Substitute values given in diagram :

a = 4.2

b = 10

h = 8

$(\frac{4.2+10}{2} )8$

7.1 × 8 = 56.8

Units will be m² as this is area

Giving us our final answer of 56.8 m²

8 0

2 years ago

QUICK QUICK PLZZ! 1 MINUTE ONLY WITH SOLUTION!

WINSTONCH [101]

Answer:

that is the solution to the question

6 0

4 years ago

Look at the following equation: –4x + y = 10

Zielflug [23.3K]

-4x + y = 10
y = 4x + 10

Slope = 4
x=3, y = 4*3 + 10 = 22

3 0

4 years ago

Read 2 more answers