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SashulF [63]
3 years ago
10

The lengths of two sides a of a triangle are 3cm and 7cm . What can you conclude about the maximum length of the third side of t

he triangle?
A) the maximum length of the third side must equal 10cm


B) the maximum length of the third side must be greater than 10cm


C( the maximum length of the third must be less than 10cm


D) the maximum length of the third side must be 4cm
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
3 0

Answer:

the answer is B- the maximum length of the third side must be greater than 10cm

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4x-5y=-3
tresset_1 [31]
4x - 5y = -3  ⇒ 1st equation
2x + 3z = 4  ⇒ 2nd equation
3y - z = 8     ⇒ 3rd equation

find the value of z.

3y - z = 8
- z = 8 - 3y
z = (8 - 3y) / -1
z = -8 + 3y

Substitute z with its value in the 2nd equation:
2x + 3z = 4
2x + 3(-8 + 3y) = 4
2x - 24 + 9y = 4
2x + 9y = 4 + 24
2x + 9y = 28

find value of x
2x + 9y = 28
2x = 28 - 9y
x = (28 - 9y)/2
x = 14 - 9y/2

Substitute the value of x in 1st equation
4x - 5y = -3
4(14-9y/2) - 5y = -3
56 - 36y/2 - 5y = -3
- 36y/2 - 5y = -3 - 56
- 36y/2 - 5y = - 59
2(-36y/2 - 5y) = 2(-59)
-36y - 10y = -118
-46y = -118
-46y/-46 = -118/-46
y = 2 26/46
y = 2 13/23  

x = 14 - 9y/2
x = 14 - 9 (2 13/23) /2
x = 14 - 9 (59/23) / 2
x = 14 - 531/23 / 2
x = 14 - 531/23 * 1/2
x = 14 - 531/23*2
x = 14 - 531/46
x = (14*46/46) - 531/46
x = 644/46 - 531/46
x = (644-531)/46
x = 113/46
x = 2 21/46

z = -8 + 3y
z = -8 + 3(2 13/23)
z = -8 + 3(59/23)
z = -8 + 177/23
z = (-8*23/23) + 177/23
z = -184/23 + 177/23
z = (-184 + 177)/23
z = -7/23

x = 2 21/46 ; y = 2 13/23 ; z = -7/23

4x - 5y = -3
4(113/46) - 5(59/23) = -3
452/46 - 295/23 = -3
9.826 - 12.826 = -3
-3 = -3

2x + 3z = 4
2(113/46) + 3(-7/23) = 4
226/46 - 21/23 = 4
4.913 - 0.913 = 4
4 = 4

3y - z = 8
3(59/23) - (-7/23) = 8
177/23 + 7/23 = 8
7.696 + 0.304 = 8
8 = 8 

8 0
3 years ago
Help me plz. unit rate is 1.5 cups for every 1 minute
IgorLugansk [536]


\frac{1.5}{1}
I'm pretty sure this is right because there is 1.5 per one Wich is also written as a fraction
6 0
3 years ago
Pls I need answer on number 7. I’m not sure if it’s 11 or 12.
BlackZzzverrR [31]
The answer is letter A
6 0
3 years ago
Read 2 more answers
=
const2013 [10]

The equation in the given standard form is (x+10)^2+(y+6)^2=5^2

<h3>Equation of a circle</h3>

The standard equation of a circle is expressed as:

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

Given the equation x^2 + y^2 + 20x + 12y + 111 =0

Group the function to have:

(x^2 +20x)+(y^2+ 12y) + 111 =0

Complete the squares to have:

(x^2 +20x)+(y^2+ 12y) + 111 =0\\(x^2+20x+10^2-10^2)+(y^2+12y+6^2-6^2)+111=0\\(x+10)^2+(y+6)^2 -100-36+111=0\\(x+10)^2+(y+6)^2-25=0\\(x+10)^2+(y+6)^2=25\\(x+10)^2+(y+6)^2=5^2

Hence the equation in the given standard form is (x+10)^2+(y+6)^2=5^2

Learn more on equation of a circle here: brainly.com/question/1506955

4 0
2 years ago
Is 48/100 closest to 0,1/2, or 1 explain
KonstantinChe [14]
48 out of 100 is closest to 1/2 because there is only 2 more until 50 (and 50 is half of 100)
7 0
3 years ago
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