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3 years ago

What is the equation of the line that goes through the point (0,2) and has a slope of -1

Mathematics

1 answer:

givi [52]3 years ago

8 0

Answer:

y = -x + 2

Step-by-step explanation:

The point (0,2) is the y-intercept.

The equation of a line is y=mx + b.

The b variable represents the y-intercept.

The m variable represents the slope.

Substitute -1 for the slope and 2 for the y-intercept into the equation.

y = mx + b

y = (-1)x + (2)

y = -x + 2

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Point C has the coordinates (-1,4) and point D has the coordinates (2,0). What is the distance between points C and D? Is ____ u

beks73 [17]

Answer: 5 units

Step-by-step explanation:

$Distance = \sqrt{(x_{2 }- x_{1 })^2 + (y_{2 }- y_{1 })^2\\$

$= \sqrt{(2_ }- (-1)_{ })^2 + (0_{ }- 4_{ })^2$

$= \sqrt{(2_{ }+ 1_{ })^2 + (-4)^2_$

$= \sqrt{3^2+(-4)^2}$

$= \sqrt{9+16}$

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2 years ago

PLEASE HELP!! 30 POINTS

AveGali [126]

The answer is b if you add 3 plus -5 that would have given you negative -2

3 0

3 years ago

✎﹏Question~

Varvara68 [4.7K]

Answer:

Sol: In this question, firstly we have to make the first bracket as a complete square of the second bracket. This we can by adding 2.x.1/x which is equivalent to 2. Then the equation becomes:

6(x2 + 1/x2 +2) – 5(x + 1/x) = 50 { 38 + 6*2)

⇒ 6(x2 + 1/x2 +2) – 5(x + 1/x) – 50 = 0

Now put x + 1/x = y

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As x is positive therefore, x + 1/x =10/3

On solving further you will get as x=3 or 1/3

7 0

2 years ago

if the mean of A and B is 20 the mean of B and C is 24 and the mean of A,B and C is 18 .what is the mean of A and C

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

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3 years ago

2 A and B please with explanation! BIG POINTS please explain

dedylja [7]

Answer:

see explanation

Step-by-step explanation:

Using the ratio equality for circles

$\frac{arc}{C}$ = $\frac{angleatcentre}{360}$

(a)

Note the angle at the centre of the shaded arc is 360° - 90° = 270°, thus

$\frac{45}{C}$ = $\frac{270}{360}$ = $\frac{3}{4}$ ( cross- multiply )

3C = 180 ( divide both sides by 3 )

C = 60 mm

(b)

Note the angle at the centre of the shaded arc is 360° - 135° = 225°, thus

$\frac{3.3}{C}$ = $\frac{225}{360}$ ( cross- multiply )

225C = 1188 ( divide both sides by 225 )

C = 5.28 cm

8 0

3 years ago

What is the equation of the line that goes through the point (0,2) and has a slope of -1​

What is the equation of the line that goes through the point (0,2) and has a slope of -1