The dimension of the dilated triangle will be 13 inches, 26 inches, and 26 inches, respectively.
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
Sam needs to expand a triangle with sides 3, 6, and 6 inches. Assuming that the briefest side of the new triangle is 13 inches. Then the scale factor is given as,
Scale factor = 13 / 3
Then the other dimensions of the triangle will be given as,
⇒ (13 / 3) x 6
⇒ 13 x 2
⇒ 26 inches
The element of the expandedtriangle will be 13 inches, 26 inches, and 26 inches, separately.
More about the dilation link is given below.
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Answer:
See attached image
Step-by-step explanation:
Notice that the transformation from to involves a reflection around the axis.
Therefore we should draw a similar semicircle starting at (0,0) and ending at (4,0) and with radius 2 as seen in the attached image.
Answer:
Step-by-step explanation:
Let (x), (x+1), and (x+2) be the three consecutive integers.
Put the words into expressions
Sum of the 3rd and twice the 3rd: (x)+2(x+2)
93 more than the second integer: 93+(x+1)
Now you can set up the equation and solve:
(x)+2(x+2)=93+(x+1)
Distribute and combine like terms
x+2x+4=94+x
3x+4=94+x
2x=90
x=45
So the 3 consecutive integers are 45, 46, 47.
Plug back in to check.
Answer:
bruh i-
Step-by-step explanation:
An equation is formed when two equal expressions.The equation of a line that is perpendicular to y=2x+4 and passes through the point (4,6) is y=-(1/2)x+8.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The product of the slope of the two perpendicular lines is -1. Therefore, the slope of the perpendicular line is,
m × 2 = -1
m = -1 /2
Thus, the equation of the perpendicularline becomes y=-(1/2)x+c.
Now, if the coordinate of the point is substituted in the equation of the perpendicular line.
y = -(1/2)x + c
6 = -(1/2)(4) + c
6 = -2 + C
8 = c
Therefore, the final equation is y=-(1/2)x+8.
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Answer:
y= -1/2x + 8
Step-by-step explanation: