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2 answers:
Answer:
Step-by-step explanation:
To find the line parallel to the given linear equation, we have to use the same slope, because the condition of parallelism is that they must have the same slope.
So, the slope of the given line is , because it's expressed in slope-intercept form, where the coefficient of the variable <em>x </em>is the slope.
Now, we know that they new parallel lines must have a slope equal to 47, and must pass through (14,4). Using this data, we apply the point-slope formula to find the equation of the new line:
The image attached shows the parallelism.
Therefore, the answer is
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Answer:
Given System of equation:
x-y =6 .....,[1]
2x-3z = 16 ......[2]
2y+z = 4 .......[3]
Rewrite the equation [1] as
y = x - 6 .......[4]
Substitute the value of [4] in [3], we get
Using distributive property on LHS ( i.e, )
then, we have
2x - 12 +z =4
Add 12 to both sides of an equation:
2x-12+z+12=4+12
Simplify:
2x +z = 16 .......[5]
On substituting equation [2] in [5] we get;
2x+z=2x -3z
or
z = -3z
Add 3z both sides of an equation:
z+3z = -3z+3z
4z = 0
Simplify:
z = 0
Substitute the value of z = 0 in [2] to solve for x;
or
2x = 16
Divide by 2 both sides of an equation:
Simplify:
x= 8
Substitute the value of x =8 in equation [4] to solve for y;
y = 8-6 = 2
or
y = 2
Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0
Answer:
<h2>Angle ADF is equal to 52° and angle FDC is equal to 38°.</h2>Step-by-step explanation:
In the image attaches, you can observe that angles ADF and FDC are complementary angles, because they sum 90°.
And we know that
Replacing these expressions, we have
Then, we replace this value in each expression to find both angles measures.
Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.
