Answer:
They are still congruent even after being rotated they still will remain the same shape.
Step-by-step explanation:
Answer:
8 = 3x - 4y
or y = (3/4)x - 2
Step-by-step explanation:
(4,1) and (0, -2) are the two points I see.
slope = (1 -(-2))/(4 - 0) = 3/4
y-int: -2
y = (3/4)x - 2
or 2 = (3/4)x - y
8 = 3x - 4y
Answer:
m<1 = 39
m<2 = 51
Step-by-step explanation:
For this problem, you need to understand that a little square in the bottom of two connecting lines represents a right-angle (an angle this 90 degrees). This problem, gives you two relationships for angle 1 and angle 2 within a right-angle. Using this information, we can solve for the measures of the two angles.
Let's write the two relations:
m< 1 = 3x
m< 2 = x + 38
And now let's right an equation that represents the two angles to the picture:
m<1 + m<2 = 90
Using this information, let's substitute the expressions we have for the two angles and solve for x. Once we have the value of x, we can find the measure of the two angles.
m< 1 + m< 2 = 90
(3x) + (x + 38) = 90
3x + x + 38 = 90
x ( 3 + 1 ) + 38 = 90
x ( 4 ) + 38 = 90
4x + 38 = 90
4x + 38 - 38 = 90 - 38
4x = 90 - 38
4x = 52
4x * (1/4) = 52 * (1/4)
x = 52 * (1/4)
x = 13
Now that we have the value of x, we simply plug it back into our expressions for the m<1 and m<2.
m<1 = 3x = 3(13) = 39
m<2 = x + 38 = 13 + 38 = 51
And we can verify this is correct with the relational equation:
m<1 + m<2 = 90
39 + 51 ?= 90
90 == 90
Hence, we have found the values of m<1 and m<2.
Cheers.
Answer:
y = ±√(x-16)
Step-by-step explanation:
To find the inverse of an equation, swap the x- and y-variables:
y = x² + 16
x = y² + 16
Then, solve for the y-variable:
x = y² + 16
y² = x - 16
y = ±√(x-16)
<em>1 Cancel m.</em>
12i=c*m/s
<em>2 Use rule a*b/c = ab/c</em>
12i=cm/s
<em>3 Multiply both sides by s.</em>
12is=cm
<em>4 Divide both sides by 12.</em>
is=cm/12
<em>5 Divide both sides by i</em>
s=cm/12/i
<em>6 Simplify cm/12/i</em>
s=sm/12i
