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MArishka [77]
3 years ago
12

The points (–7, 7) and (6, –6) fall on a particular line. What is its equation in slope-intercept form?

Mathematics
2 answers:
AURORKA [14]3 years ago
5 0

Answer:

y= -x

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept

\boxed{slope =  \frac{y1 - y2}{x1 - x2} }

Slope

=  \frac{7 - ( - 6)}{ - 7 - 6}

=  \frac{7 + 6}{ - 13}

=  \frac{13}{ - 13}

=  - 1

Substitute m= -1 into the equation:

y= -1x +c

y= -x +c

To find the value of c, substitute a pair of coordinates.

When x= -7, y= 7,

7= -(-7) +c

7= 7 +c

c= 7 -7

c= 0

Thus, the equation of the line is y= -x.

alexandr1967 [171]3 years ago
3 0

Answer:

y=-x

Step-by-step explanation:

Slope =1

Substitute m= -1 into the equation:

y= -1x +c

y= -x +c

To find the value of c, substitute a pair of coordinates.

When x= -7, y= 7,

7= -(-7) +c

7= 7 +c

c= 7 -7

c= 0

Thus, the equation of the line is y= -x.

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you need to find 8 gold bars

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8 0
2 years ago
Divide 110 g of salt in ratio 5 : 8 : 9; what is the result ?
vekshin1

110grams÷22 =5

5+8+ 9 =22

5 x5=25

5x8=40

5x9=45

The ratio is 25:40:45

5 0
3 years ago
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Salsk061 [2.6K]

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6 0
2 years ago
Mathematics Areas and perimeters ​
sweet-ann [11.9K]

Answer:

54.5 Sq. cm

Step-by-step explanation:

<em>area of a right angled triangle = 1/ 2 × base × height </em>

(here, the base is 8 and height is 6)

= 1/ 2 × 6 × 8

= 4 × 6

<u>= 24 Sq. cm</u>

<em>area of a circle</em> = \pi r²

(r is the radius that is diameter/ 2, and the value of \pi is 3. 14)

  • r = 10/ 2 = 5 cm

= 3. 14.× (5)²

= 3.14 × 25

<u>= 78.5 Sq. cm</u>

area of the shaded region = area of Circle - area of triangle

= 78.5 - 24

<h3>= 54.5 Sq. cm</h3>

that is option 3

7 0
3 years ago
The locations, given in polar coordinates, for two ships are (8 mi, 63º) and (8 mi, 123º). Find the distance between the two shi
PolarNik [594]
The arrangement forms an isosceles triangle with equal legs of 8 mi. The angle between the legs is,

123-63 = 60°. Therefore, the other two angles ares:

Angles = (180-60)/2 = 120/2 = 60°

It can therefore be noted that all angles are equal and thus the resulting triangle is actual an equilateral triangle and thus all the sides are equal.

It can be concluded that the ships are 8 miles apart.
8 0
3 years ago
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