Answer:
x = 30
Step-by-step explanation:
9-x/5=3
Subtract 9 from each side
9-9-x/5=3-9
-x/5 = -6
Multiply each side by -5
-x/5 *-5 = -6*-5
x = 30
Answer:
{x,y,z} = {-18,4,2}
Step-by-step explanation:
Solve equation [2] for the variable x
x = -10y + 2z + 18
Plug this in for variable x in equation [1]
(-10y+2z+18) + 9y + z = 20
- y + 3z = 2
Plug this in for variable x in equation [3]
3•(-10y+2z+18) + 27y + 2z = 58
- 3y + 8z = 4
Solve equation [1] for the variable y
y = 3z - 2
Plug this in for variable y in equation [3]
- 3•(3z-2) + 8z = 4
- z = -2
Solve equation [3] for the variable z
z = 2
By now we know this much :
x = -10y+2z+18
y = 3z-2
z = 2
Use the z value to solve for y
y = 3(2)-2 = 4
Use the y and z values to solve for x
x = -10(4)+2(2)+18 = -18
Answer:
-1/4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-(-5))/(0-(-12))
m=(-8+5)/(0+12)
m=-3/12
simplify
m=-1/4
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The sequences that would map the triangles so as to support both claims are explained below:
<em>Transformation</em> is a process in which the dimensions, size or orientation of a given shape is <em>adjusted</em>. The types are: translation, reflection, rotation and dilation.
Thus;
A. The sequence of transformations that will <u>support</u> Tim's thinking are:
i. <em>Reflection</em> of triangle A <em>about</em> the y-axis.
ii. <em>Reflection</em> of the triangle the <em>second</em> time now about x-axis.
iii. <em>Translation</em> of the triangle two units to the right (i.e towards the x-axis)
These steps would map triangle A unto triangle B supporting Tim's claim.
B. The sequence of transformations that will <u>support</u> Jennifer's claim are:
i. First <em>rotate</em> triangle A by
using the origin of the axis as the reference point.
ii. Then <em>translate</em> triangle A two units to the right (i.e towards the x-axis).
Therefore, these steps will map triangle A unto B to support Jennifer's claim.
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