What happens when you celebrate halloween in spring matrix multipication
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Answer:
MC = 4.5cm
Step-by-step explanation:
Question:
Let the isosceles triangle ABC with AB = AC = 3 cm. if the mediator of the sides AC intersects with the side BC in M and the perimeter of the triangle AMC = 12 cm. Calculate MC.
Solution:
Find attached the diagram used in solving the question.
Given:
∆ABC is an isosceles triangle (two sides and angles are equal)
AB = BC = 3cm
Perimeter of ∆AMC = 12cm
From the diagram, M cuts AC at the the middle.
AD = CD = AC/2 = 3/2
Perimeter of Right angled ∆AMD = AM + AD + MD
= 3/2 + AM +MD
Perimeter of Right angled ∆CMD =CM + CD + MD
= 3/2 + CM +MD
Right angled ∆AMD = Right angled ∆CMD
CM = AM
Therefore ∆AMC is an isosceles triangle
CM = AM (two sides of an isosceles triangle are equal)
Let CM = AM = x
Perimeter of ∆AMC = AM + CM + AC
12 = x + x + 3
12 = 2x + 3
2x = 12-3
2x = 9
x = 9/2 = 4.5
CM = AM = 4.5cm
MC = CM = 4.5cm
Answer:
The value of y is 4
The equation of line is y = x + 7 .
Step-by-step explanation:
Given as :
The points are
(,
) = (- 3, y)
(,
) = (- 9, -2)
The slope = m = 1
Now,<u> The slope is calculated in points form</u>
So, Slope =
I.e m =
or, 1 =
or, 1 =
or, 1 × (-6) = - 2 - y
or, - 6 = - 2- y
or, y = - 2 + 6
∴ y = 4
So, The new points as
(,
) = (- 3, 4 )
(,
) = (- 9, -2)
<u>So, the equation of line in slope - point form can be written as</u>
y - = m ( x -
)
i.e y - 4 = ( 1 ) × ( x - (-3) )
or, y - 4 = x + 3
∴ y = x + 3 + 4
Or, y = x + 7
So, The equation of line is y = x + 7
Hence The value of y is 4
And The equation of line is y = x + 7 . Answer