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4 years ago

The points (-3, 2) and (9,r) lie on a line with slope 1/2. Find the missing coordinate r.

Mathematics

1 answer:

aleksley [76]4 years ago

6 0

Answer:

8 = r; (9, 8)

Explanation:

-y₁ + y₂\-x₁ + x₂ = m

-2 + r\3 + 9 = ?\12

-2 + r = 6

+2 + 2

__________

r = 8

The reason why the expression has to equal 6 is because 6⁄12 simplifies to ½, and the numerator has to be a six in order to get the rate of change [slope] of ½, so there you have it.

I am joyous to assist you anytime.

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Find the distance between the origin and the point R = (9,7,8). The distance is: Ensure that you use at least 4 decimal place ac

gregori [183]

Answer:

The distance between the origin and the given point is 13.9283 units.

Step-by-step explanation:

The coordinates of origin are (0,0,0)

We are given a point R(9,7,80

The distance formula:

$\sqrt{(y_1 -x_1)^2 + (y_2 -x_2)^2 + (y_3 -x_3)^2}$ , where $(x_1, x_2, x_3)$ are coordinates of one point and $(y_1, y_2, y_3)$ are coordinates of other point.

Putting the values as:

$y_1 = 9, y_2 = 7, y_3 = 8\\x_1 =0, x_2 = 0, x_3 = 0$

We get d = $\sqrt{81 + 64 + 49}$

d = $\sqrt{194}$

d = 13.9283

Thus, the distance between the origin and the given point is 13.9283 units.

8 0

4 years ago

How is 5/2 divided by 1/4 equals 10 responsible

vredina [299]

Answer:

Step-by-step explanation:

'll just help with proving whether she is correct.

First of all, a fraction divided by a fraction can be made into multiplication since the division of two fractions is kinda difficult

so remember keep, change, flip

keep the first fractions, change the division symbol into multiplication, then flip the fraction i.e. 1/2 becomes 2/1

so 5/2 divided by 1/4 becomes

5/2 * 4/1

which then solved becomes

20/2 which is simplified to 10

Hope this helps :)

8 0

4 years ago

What is the value of 1-61? A. -6 B. -3 C. 0 D. 6

damaskus [11]

Answer:

D. 6

Step-by-step explanation:

| -6|

Absolute values means take the positive value

The positive value of -6 is +6

6 0

4 years ago

Read 2 more answers

Find dy/dx by implicit differentiation 4x^3 + x^2y − xy^3 = 6

EastWind [94]

$\bf 4x^3+x^2y-xy^3=6\\\\
-------------------------------\\\\
12x^2+\left( 2xy+x^2\cfrac{dy}{dx} \right)-\left( y^3+x3y^2\cfrac{dy}{dx} \right)=0
\\\\\\
12x^2+2xy+x^2\cfrac{dy}{dx}-y^3-3xy^2\cfrac{dy}{dx}=0
\\\\\\
x^2\cfrac{dy}{dx}-3xy^2\cfrac{dy}{dx}=y^3-12x^2-2xy
\\\\\\
\cfrac{dy}{dx}(x^2-3xy^2)=y^3-12x^2-2xy\implies \cfrac{dy}{dx}=\cfrac{y^3-12x^2-2xy}{x^2-3xy^2}$

3 0

4 years ago

2. Solve - 2k + 12 < 30 for k. Oke-3 Ok<3 Ok>.9 Ok>9

tensa zangetsu [6.8K]

Answer:

2,012 is greater than 30

Step-by-step explanation:

6 0

3 years ago