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3 years ago

A line goes through the points (8,9) and (2,4).

1 answer:

Nadusha1986 [10]3 years ago

4 0

9-4/8-2
5/6
The slope is 5/6
y-4=5/6(x-2)
y-4=5/6x-5/3
y=5/6x+7/3
The equation of line in point-slope is y - 4 = 5/6(x - 2)
The equation of the line in slope-intercept is y = 5/6x + 7/3

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I bought a keychain for $6.75 and a T-shirt that cost X dollars each altogether the items cost $31.50 complete the type diagram

Mice21 [21]

Answer:

24.75

Step-by-step explanation:

keychain=$6.75

t.shirt=X

according to question

X+6.75=31.50

X=24.75

3 0

2 years ago

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irga5000 [103]

Answer:

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Step-by-step explanation:

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2 years ago

Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

4 0

3 years ago

Find the exact value of T Image below

Elanso [62]

Answer:

a) 1/800 or 0.00125

b) i) 0.0013

ii) 0.001

c) 60%

Step-by-step explanation:

T = [tan(2×30)+1][2cos(30)-1] ÷ (y²-x²)

T = (tan60 + 1)(2cos30 - 1) ÷ (41² - 9²)

T = (sqrt(3) + 1)(sqrt(3) - 1) ÷ 1600

T = (3-1)/1600

T = 2/1600

T = 1/800

T = 0.00125

Error: 0.002 - 0.00125

0.00075

%error

0.00075/0.00125 × 100

60%

4 0

3 years ago

Please help need answer asp

N76 [4]

I'm pretty sure the answer is 12.

4 0

3 years ago