ΔACB and ΔMNB are similar. Therefore the corresponding sides are in proportion:
Substitute:
Answer:
a = 0.25
Step-by-step explanation:
Our strategy to solve this problem will be to use the information given in the table to obtain first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations and solve for the coefficients a and b as follow:
from x=0 and y=-3 a*0 + b* 0 + c = - 3
c = -3
from x=1 and y= -3.75
a*(1) + *(1) + (-3) = -3.75
a + b = -3.75 + 3 = -0.75
from x= 2 and y = -4
a* (2)^2 + b*(2) + (-3) = -4
4a + 2b = -4 +1
4a + 2b = -1
Now we can solve the system f equations by elimination:
a + b = -0.75
4a + 2b = -1
multiply first equation by -2 and add to the second and get
-2a - 2b = +1.50
4a + 2b = -1
2a = 0.50 and substituting into any of the equations get b = -1
so the quadratic equation has a= 0.25 b= -1 c= -3
we can even plug the any of the other values for x given in the table and check the answer.
Answer:
13
Step-by-step explanation:
When we subtract a negative, it is like adding
9 - -4
9 +4
13
Answer:
y=0
Step-by-step explanation:
asymptote formula x=-b/2a
so -(-2)/2(1.5)=2/3
then you replace it for finding the other point
g(2/3)=1.5(2/3)-3=0
y=0
We first solve for angle TZU which is determined by the formula:
mTZU = 0.5(arcTU + arcSR)
mTZU = 0.5(72°+100°) = 86°
By vertical angle, mTZU = mSZR = 86°
We note that the sum of all angles formed is 360°. Solving for the remaining angles:
360° - 86° - 86° = 188°
Since mSZT is equal to mRZU by vertical angle, we divide 188° by 2.
188°/2 = 94°
m∠SZT = 94°
