Answer:
∠ CDB = 45°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of its intercepted arc.
∠ CDB = 0.5 × BC = 0.5 × 90° = 45°
The value of a from the equation is -63.
Here we have to find the value of a.
Given data:
The equation is = x³ + 8x² + ax -2
The equation is divisible by x -1
So we have:
x -1 = 0
x = 1
Now putting the value in the equation we get the remainder as o because the equation is divisible by x -1.
So;
1³ + 8² + a(1) - 2 = 0
63 + a = 0
a = -63
Therefore we get the value of a as -63.
To know more about the equation refer to the link given below:
brainly.com/question/14107099
#SPJ4
for the system of equations
the three matrices needed to use Cramer's Rule are:
![D=\left[\begin{array}{cc}a_1&b_1\\a_2&b_2\end{array}\right] \\\\D_x=\left[\begin{array}{cc}c_1&b_1\\c_2&b_2\end{array}\right] \\\\D_y=\left[\begin{array}{cc}a_1&c_1\\a_2&c_2\end{array}\right]](https://tex.z-dn.net/?f=D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da_1%26b_1%5C%5Ca_2%26b_2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dc_1%26b_1%5C%5Cc_2%26b_2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_y%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da_1%26c_1%5C%5Ca_2%26c_2%5Cend%7Barray%7D%5Cright%5D)
.
To use Cramer's Rule we have to calculate the three determinants listed below of the matrices listed below.
![D=\left[\begin{array}{cc}2&5\\-3&-2\end{array}\right] \\\\D_x=\left[\begin{array}{cc}-13&5\\3&-2\end{array}\right] \\\\D_y=\left[\begin{array}{cc}2&-13\\-3&3\end{array}\right]](https://tex.z-dn.net/?f=D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%265%5C%5C-3%26-2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-13%265%5C%5C3%26-2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_y%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%26-13%5C%5C-3%263%5Cend%7Barray%7D%5Cright%5D)
.
The value of the determinants are shown below.
The value of y is 
.
