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SCORPION-xisa [38]
3 years ago
11

3. What is the slope of a line perpendicular to the line y =-2/3 x+12

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0

Answer:

Slope of line (i) = 1.5

Step-by-step explanation:

  • Line (i) is perpendicular to;
  • Line (ii) whose equation is y = -\frac{2}{3} x + 12

The slope of line (ii) = -\frac{2}{3}

* <u>Mathematics rule</u>: <em>The product of slopes of two perpendicular lines = -1</em>

∴ The slope of line (i) = -1 ÷ -\frac{2}{3} = 3/2 = 1.5

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a group of 266 people is called to jury duty in court. Each jury includes 12 jurors plus to alternates. How many complete juries
nekit [7.7K]
There are 14 positions. There are 266 choices for the first juror, 265 for the second, 264 for the third, etc. 266*265*264*...*252=<span>5.93893009829e+33, or about 6,000,000,000,000,000,000,000,000,000,000,000 complete juries. Hope this helps!</span>
7 0
3 years ago
Please help and explain why you got it right please
gtnhenbr [62]

Answer:

y+7 = -3 ( x-4)

Step-by-step explanation:

First find two points on the graph to find the slope

( 1,2) and ( 3,-4)

The slope is given by

m = ( y2-y1)/(x2-x1)

m = ( -4-2)/(3-1)

    = -6/2

    =-3

We can use the point slope form

y - y1 = m(x-x1)  where m is the slope and x1,y1 is a point on the line

We have two choices with a slope of -3

We can either use and x coordinate of -2 or 4

for  -2, the y coordinate is not shown

for 4 , the y coordinate is -7

Using ( 4, -7) and m = -3

y--7 = -3( x- 4)

y+7 = -3 ( x-4)

4 0
2 years ago
Read 2 more answers
What is the volume of this sphere?
Natasha_Volkova [10]

Answer:

Option c. 11,488.21 cm3

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=28/2=14\ cm ---> the radius is half the diameter

\pi =3.14

substitute

V=\frac{4}{3}(3.14)(14)^{3}

V=11,488.21\ cm^3

3 0
2 years ago
Determine the coordinates of the point p on the line y=-x+6 such that p is equidistant from the points a(10,-10) and o(0,0) (tha
Katena32 [7]

Solution,

Let P =  ( x, -x + 6) = (x, 6 - x)

We want to solve this

( Distance from P to (0,0) )^2  = (Distance from P to (10, -10) )^2

x^2 + (6 - x)^2  =  [ ( x - 10)^2 + ( 6 - x + 10)^2

x^2 + x^2 - 12x + 36  =   x^2 - 20x + 100  + x^2 - 32x + 256     simplify

-12x + 36  =  -52x + 356

40x =  320

x = 8

And y = -(8) + 6  =  -2

So...P  =  ( 8, -2)

In mathematics, an equation is an equation that expresses two equations by joining them with an equal sign =. Equations in other languages ​​and the word their relatives can have slightly different meanings; for example, in French, an equation is defined as containing one or more variables, but in English, it is an equal sign.

A well-formed expression consisting of two combined equations is an equation, and a variable makes the equation true. The variable for which the equation must be solved is also called the unknown, and the value of the unknown that satisfies the equation is called the solution of the equation. There are two types of equations: identities and constraint equations. The ID applies to all values ​​of the variable. Constraint equations apply only to specific values ​​of variables

Learn more about Equations here: brainly.com/question/2972832

#SPJ4

6 0
2 years ago
A football coach must order 9 new jerseys. The jerseys cost $23.79 each.
neonofarm [45]

Answer:

9 x 23.79 = $214.11

6 0
2 years ago
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