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mars1129 [50]
2 years ago
11

Can a triangle have sides with the given lengths? Explain. a = 6 yd, b = 9 yd, c = 11 yd

Mathematics
1 answer:
RideAnS [48]2 years ago
3 0

Answer:

Step-by-step explanation:

Use the cosine rule and see if the numbers hold true. a^2 = b^2 + c^2 - (2bc (cos x))

By substituting in our values I get that cos x = 0.838... which is possible. If cos x would equal 1.5, the there is no solution and the triangle would not be possible.

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Write the equation of the line that passes through the points
sesenic [268]

Answer:

y+5=2(x-3) or y+9=2(x-1)

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the ordered pairs

(3,-5) and (1,-9)

substitute the values

m=\frac{-9+5}{1-3}

m=\frac{-4}{-2}

m=2

step 2

Find the equation in point slope form

y-y1=m(x-x1)

Analyze two cases

<em>First case</em>

we have

m=2

point\ (3,-5)

substitute

y+5=2(x-3)

<em>Second case</em>

we have

m=2

point\ (1,-9)

substitute

y+9=2(x-1)

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

6 0
3 years ago
Evaluate the expression 4y/Yfor x=8 and y=0
jeyben [28]
To evaluate 4y/x for x=8 and y=0 we shall have:
4y/x=(4×0)/8
=0/8
=0
Answer; 0
8 0
3 years ago
What is the sum of the arithmetic series below?
Irina-Kira [14]
Hello : 
the common ratio is r = -95-(-100)=5
the general terme is : un= u1+(n-1)r
un = -100 +(n-1)(5)
un =-100 +5n-5
un = 5n-105
The last term is : 100
un =100
5n-105 = 100
5n =205
n = 41 (Number of terms)
The last term is : u 41
<span>the sum is : S= (41/2)(-100+100)=0</span>
5 0
3 years ago
When it is for a fish tank holds 15 gallons of water, Jordan is using a one pint container to fill the fish tank, how Jordan nee
Fantom [35]

Answer:

120 pints

Step-by-step explanation:

1 gallon = 8 pints

15 gallons x 8 is 120 pints

8 0
3 years ago
You spent 1/5 of your birthday money on 2 video games. If each video game cost the same amount, what fraction of your birthday m
Elza [17]

Answer:

  • 1/10

Step-by-step explanation:

Let total money be m

Then, the money spent on 2 video games is 1/5m

<u>Each game costs:</u>

  • 1/5m ÷ 2 =
  • 1/10m

So each video game costs 1/10 of birthday money

4 0
3 years ago
Read 2 more answers
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