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a triangle has vertices at s(1, 1), t(2, −3), and u(4, 0). the triangle is translated up 3 units. what are the coordinates of the vertices of the image?

a. s'(4, 1), t'(5, −3), and u'(7, 0)
b. s'(1, 4), t'(2, 0), and u'(4, 3)

c. s'(1, 4), t'(2, −3), and u'(4, 0)
d. s'(1, −2), t'(2, −6), and u'(4, −3)

B

Step-by-step explanation:

A translation of 3 units up, means adding 3 to the y- coordinate of the original points while the x- coordinates remain unchanged, that is

S(1, 1) → S'(1, 1 + 3) → S'(1, 4)

T(2, - 3) → T'(2, - 3 + 3) → T'(2, 0)

U(4, 0) → U'(4, 0 + 3) → U'(4, 3)

an altitude of 15,000 feet

step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.