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2 years ago

5

Find the equation of the line containing the point (3, 3) and parallel to the line

1 answer:

DIA [1.3K]2 years ago

3 0

Answer:

y = 2x - 3

Step-by-step explanation:

Parallel lines have the same slope

only the constant changes

y = 2x + b

To find "b"

Plug in point (3, 3)

3 = 2(3) + b

3 = 6 + b

Subtract 6 from both sides

-3 = b

The equation for the parallel line is

y = 2x - 3

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Solve using square roots 3x^2+25=73

seropon [69]

Heya !

Given expression -

$3 {x}^{2} + 25 = 73$

Subtracting 25 both sides ,

$3 {x}^{2} + 25 - 25 = 73 - 25 \\ \\ 3 {x}^{2} = 48$

Dividing by 3 on both sides ,

$\frac{3 {x}^{2} }{3} = \frac{48}{3} \\ \\ {x}^{2} = 16$

Therefore ,
$x = + \: 4 \: \: \: \: or \: \: - 4 \: \: \: \: \: \: \: Ans.$

4 0

3 years ago

In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz

KIM [24]

Answer:

D

Step-by-step explanation:

First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.

If point D divides the segment AB in the ratio m:n, then

$D\left(\dfrac{nx_A+mx_B}{m+n},\dfrac{ny_A+my_B}{m+n}\right)$

So

$D\left(\dfrac{3\cdot 2+5\cdot 10}{5+3},\dfrac{3\cdot (-6)+5\cdot 2B}{5+3}\right)=D(7,-1)$

Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.

Thus, C(2,-1)

5 0

2 years ago

Read 2 more answers

Area of square is numerically less than twice its diagonal by 2. Find its Perimeter.

Usimov [2.4K]

2D-a^2=2

2(a√2) -a^2=2

a^2-2√2*a+2=0

2a= 2√2 + √(8-4*2) = 2√2
hence, perimeter = 4a = 2*2a=2*2√2 = 4√2

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3 years ago

Find the missing Factor of ×9=90

n200080 [17]

Answer:

x=10

Step-by-step explanation:

9×10=90 That is how I got the answer.

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3 years ago

natali 33 [55]

area=l×w

l=area/w

l=105/5

l=15

perimater=l+w

perimater=15+7

perimeter=22

4 0

2 years ago