Answer:
The gradient of lines A is 8 and B is -4
Step-by-step explanation:
As we know, the gradient of a line is its slope.
The formula to find the slope of a linear line is:
m =
As we can see the line A goes through points:
C (x1, y1) = (0, -6)
D (x2, y2)= (2.5, 14)
<=> the slope of line A is:
=
=
=
As we can see the line A goes through points:
E (x1, y1) = (2, 0)
F (x2, y2)= (0, 8)
<=> the slope of line B is:
=
= -4
Hence, the gradient of lines A is 8 and B is -4
The value of c that makes the given trinomial a perfect square is 9.
The given expression is:
<h3>What is a perfect square trinomial? </h3>
A polynomial is called a perfect square trinomial if it can be written in terms of the square of another polynomial.
Let us write the given expression in (a+b)² form
.....(1)
We know ......(2)
To make (1) like we need to put c=9
Hence, the value of c that makes the given trinomial a perfect square is 9.
To get more about polynomials visit:
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Answer:
x = 15
LN and MO both equal 43
Step-by-step explanation:
LN and MO are diagonals in rectangle
Diagonals of a rectangle are congruent Hence, 4x - 17 = 2x + 13
Now we solve for x
4x - 17 = 2x + 13
Add 17 to both sides
4x = 2x + 30
Subtract 2x from both sides
2x = 30
Divide both sides by 2
x = 15
Now we want to find the values of LN and MO
To do so we substitute 15 for x in it's given expression ( note: because LN = MO we only need to do this process once )
LN = 4x - 17
Substitute 15 for x
4(15) - 17
Multiply
60 - 17
Subtract
LN and MO = 43
Answer:
Below in bold.
Step-by-step explanation:
C1 = 180 - C2
= 180 - (170-2x)
= 10 + 2x
So B3 = 10+2x (alternate angles).
and B2 = 90 - B3
= 90 - (10 + 2x)
= 80 - 2x.
Its the third option y-9=-1/4(x+2) because the equation for point slope form is y-y1= m(x-x1) so because there is a negative 2 it is a positive 2. Remember a negative minus a negative is a positive. Hope this helped :)!