You can put the line into the equation y= MX+c
m = gradient
c = y offset
To work out m you need to divide the change in y by the change in x for two points on the graph:
6--6 = 12 (change in x)
-3--7 = 4 (change in y)
m = 4/12 = 1/3
Then to work out the c variable you need to see where the line crosses the y axis, where this happens is the c variable:
c = -5 because c crosses y at the point -5
Then place it into one equation:
y = 1/3x-5
The answer would be 33 3/4.
Rhombus, <span>opposite angles are congruent
One angle is 35 so the opposite angle will be 35 also.
Sum of interior angles in a rhombus equal 360
360 - 35 - 35 = 290
290/2 = 145 (The other two angles will be congruent)
Answer:
The remaining three angles will be 35</span>°<span>, 145</span>°<span>, 145</span>°<span>
</span>
Answer:
1 + i
Step-by-step explanation:
Given that A is a 3 * 3 singular matrix
one of its eigenvalue ( λ1 ) = 1 - i
Given that the determinant of a singular matrix is = 0
therefore the second eigen value ( λ2 ) = 1 + i
1 - i + 1 + i = 0
Answer:
p = -3
Step-by-step explanation:
−0.63p − 5.04 + 3.57 = 7.05 + 2.21p
−0.63p − 1.47 = 7.05 + 2.21p (add 0.63p to both sides)
− 1.47 = 7.05 + 2.21p + 0.63p
− 1.47 = 7.05 + 2.84p (subtract 7.05 from both sides)
− 1.47 - 7.05 = 2.84p
-8.52 = 2.84p (rearrange)
2.84p = -8.52 (divide both sides by 2.84)
p = -8.52 / 2.84
p = -3
