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Setler [38]
3 years ago
10

Find the equation of a line that runs through

Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

Answer:

The equation of a line that runs through  (-6,2) and is parallel to a line with a slope of (-1/4)     is  x + 4y  - 2 = 0

Step-by-step explanation:

Slope of the parallel  equation is m 1 = (-1/4)

<em>If the two liner are parallel the, slope of both lines are equal.</em>

⇒The slope of the equation of line = m2  = m1  = -(1/4)

The point (x0, y0)  = (-6,2)

Now, by THE POINT SLOPE FORMULA:  The equation of a line is given as

( y - y0)  =  m (x -x0)

Now, here the equation of line is given as:

y - 2 = (\frac{-1}{4}) (x - (-6))   \implies  4(y-2) = -1(x + 6)

or, 4y - 8 + x + 6 = 0

or, x + 4y  - 2 = 0

Hence, the required line equation is  x + 4y  - 2 = 0

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4 0
2 years ago
Help me please and thank you
Fittoniya [83]

There are 650 toothpicks in a regular sized box.

That is the volume of the box = 650 toothpicks

Jumbo box is made by doubling all the dimensions.

We know volume = length * width * height = L*W*H

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L becomes 2L

W become 2W

H becomes 2H

Volume of Jumbo box = 2L * 2W * 2H = 8*L*W*H

Volume of jumbo box = 8 * volume of small box

= 8 * 650= 5200

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7 0
3 years ago
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 10 cm, and its area is 12 cm2. Find the radiu
PtichkaEL [24]

Answer:

1.2 cm

Step-by-step explanation:

The area of sircumscribed quadrilateral over a circle is equal to

A=s\cdot r,

where s is semi-perimeter of the quadrilateral and r is the radius of the circle.

Use property of circumscribed quadrilateral: The sums of the opposite sides are equal.  

So, if the sum of two opposite sides of the circumscribed quadrilateral is 10 cm, then the sum of another two sides is also 10 cm and the perimeter of the quadrilateral is 20 cm. Hence,

s=\dfrac{20}{2}=10\ cm

Now,

A=s\cdot r\\ \\12=10r\\ \\r=\dfrac{12}{10}=1.2\ cm

8 0
3 years ago
Guys plz help me answer this question!!!
Semmy [17]

Awnser:

1/2 as m, and -3 as b

Step-by-step explanation:

To find the equation of any line, you use the formula: mx+b=y, where m is the slope, y is the y coordinate, b is the y intercept, and x is the x coordinate.  However, it only asks for b and m.

You'll need to first find 2 points.

I chose: (6,0) and (0,-3).

The formula to find the slope is: y2-y1/x2-x1.

0-(-3)/6-0

0+3/6

3/6

1/2

Now we need to find the y intercept. However, the graph already tells you what it is. The y intercept always has to have 0 as x.

So the awnser is 1/2 as m, and -3 as b.

7 0
2 years ago
- Solve for x. 7x + 6 – 5x + 10 = 4 *
DaniilM [7]

Answer:

x= -6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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