Answer:
X = 6
Step-by-step explanation:
Add 14 to both sides: 18 = 3a
Divide both sides by 3: a = 6
To factorise this quadratic, you need to find two numbers that add together to give -8 but also multiply to give 15. These two numbers can be identified as -3 and -5 as -3-5=-8 and -3×-5=15. Therefore, the factorised form is (x-3)(x-5). To find the solutions, write (x-3)(x-5)=0. Deal with each bracket individually:
x-3=0
x=3
x-5=0
x=5
So the two solutions are 3 and 5.
Answer:
p = 4.0
q = 2.0
angle <P = 64 degrees
Step-by-step explanation:
We can use the definition of cosine to find the value of side p (the adjacent side to the 26 degree angle, via the formula:
which rounded to the nearest tenth gives : p = 4.0
Now we use the sine function to help us determine side q:
which rounded to the nearest tenth gives:
q = 2.0
Finally, we determine the measure of angle P using the fact that the addition of all internal angles of a triangle must add to 180 degrees:
< P + < Q + < R = 180
< P + 26 + 90 = 180
< P = 180 - 26 - 90
< P = 64 degrees
Gives an output of 1 I think