Answer:
-0.0714 approx
Step-by-step explanation:
78x − 12 = 316x + 5
Bring all the like terms together
78x -316x = 5 + 12
-238x = 17
∴ x = 17 ÷ -238 = -0.0714 (rounded up to 3 significant figures)
Answer:
x = 6/√3 , y = 12/√3
Step-by-step explanation:
sin 60° = opposite /hypothenus
√3/2 = 6/y
cross multiply
√3y=6 x 2 = 12
y = 12/√3
Tan 60° = opposite/adjacent
tan 60° = √3
√3 = 6/x
√3x= 6
x = 6/√3
Answer:
The new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.
Step-by-step explanation:
Considering the vertices of the rectangle ABCD
When a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin, then the coordinate of image of point B can be calculated by multiplying the x and y coordinates of point B with 1/2.
i.e.
B(-4, 6) → B'(-4/2, 6/2) = B'(-2, 3)
Therefore, the new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.
The relationship between the miles and the total cost is, for every 1 mile at the cost of $.40 you will have to pay an initial fee of $1.75.
The charge for a one-mile drive is $2.15 (C=.40*1+1.75)
The charge for a 2.7 mile ride will be $2.83 (C=.40*2.7+1.75)
