Answer:
{- 11, - 1 }
Step-by-step explanation:
Since the coefficient of the x² term is 1 , to complete the square
add (half the coefficient of the x-term )² to both sides
x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side
(x + 6)² = 25 ( take the square root of both sides
= ±
x + 6 = ± 5 ( subtract 6 from both sides )
x = - 6 ± 5
x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11
Answer: 0.07 centimeters
Step-by-step explanation: 0.7millimeters equals 0.07 centimeters
Step-by-step explanation:
7/x=12/14=6/7
x=49/6=8.167
Answer:
c = 29
Step-by-step explanation:
Law of sines is given as:
B = 180 - (57 + 44) = 79°
b = 41
C = 44°
c = ?
Thus:
Substitute
Multiply both sides by sin 44
c = 29.0140633 ≈ 29
The value of x is 6, then the value of JK is 83, KL is 83 and JL is 83.
<h3>What is a triangle?</h3>
A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
An equilateral triangle is a shape with three sides that have an equal measure of side length.
The 3 sides of triangle JKL are equal to each other, therefore we can equate any of the two sides together to find the unknown variable called x.
So, JK = KL
JK = 13x + 5
KL + 17x - 19
13x + 5 = 17x - 19
Collect like terms;
17x - 13x = 19 + 5
4x = 24
x = 24/4
x = 6
We can now proceed to find the sides;
JK = 13x + 5
13 x 6 + 5
= 78 + 5
= 83
JK = 83
KL = 17x - 19
= 17 x 6 - 19
= 102 - 19
= 83
KL = 83
JL= 8x + 35
= 8 x 6 + 35
= 48 + 35
= 83
JL = 83
Hence, The value of x is 6, then the value of JK is 83, KL is 83 and JL is 83.
Learn more about the triangles;
brainly.com/question/2773823
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