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NARA [144]
3 years ago
13

If A+B+C=180 prove that cos^2a + cos^2B + cos^2C = 1 - 2COSACOSBCOSC

Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0
Please read the attached file

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Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) an
stepladder [879]

Answer:

y = 4/3x + 1.

Step-by-step explanation:

The equation of the lines passing through (2,1) and (6,7) is:

y - 7 = (7-1)/(6- -2)(x - 6)

y - 7 = 6/8(x - 6)

y = 3/4(x - 6) + 7

y = 3/4x + 5/2.

So the line perpendicular to it has slope -1/3/4 = -4/3:

y - 9 = -4/3(x  + 6)

y = -4/3 x  - 8 + 9

y = 4/3x + 1.

6 0
3 years ago
Inequalities? the product of 11 and a number is less than 53 i'm confused on how to write it out
nordsb [41]
Ok, so we know that the product of means something added, and we are given that eleven and a number are less than 53. So the equation is 11+X<53.
3 0
3 years ago
The cost for an order of 100 kilograms of steel bars is $230. The cost for an order of 150 kilograms of steel bars is $320. Writ
luda_lava [24]

Answer:

y = 9x/5 + 50

Step-by-step explanation:

We are represent the information as coordinate (x,y)

If the cost for an order of 100 kilograms of steel bars is $230, this is expressed as (100, 230)

Also if the cost for an order of 150 kilograms of steel bars is $320, this is expressed as;

(150, 320)

Find the equation of a line passing through the points. The standard form of the equation is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope;

m = y2-y1/x2-x1

m = 320-230/150-100

m = 90/50

m = 9/5

Get the y-intercept by substituting m = 9/5 and any point say (100, 230) into the expression y = mx+c

230 = 9/5(100)+c

230 = 9(20)+c

230 = 180 + c

c = 230-180

c = 50

Get the required equation

y = mx+c

y = 9/5 x + 50

Hence an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x) is y = 9x/5 + 50

4 0
3 years ago
Solve the two-step equation. 14 = 31.7 – 3x
Alinara [238K]
14 = 31.7- 3x 

-17.7=-3x 

x=5.9
7 0
4 years ago
Read 2 more answers
Please help me with this problem i have been struggling!
adoni [48]

Answer:

14

First multiply

1 and 3/4 by 8 and then you got your answer

5 0
3 years ago
Read 2 more answers
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