Answer:
no triangle can be formed with the given values (i.e 0 triangle).
Step-by-step explanation:
Given;
length of side a, = 10
length of side b, = 40
angle A, = 30°
Apply sine rule to determine the angle of the second side (B);

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.
Answer/Step-by-step explanation:
The following steps to solve equation given by join are shown below including the property of numbers applied for each reasons:
4(2a + 3) = -3(a - 1) + 31 - 11a ----› Given
Apply the distributive property to open the parentheses
4*2a + 4*3 = -3*a -3*-1 + 31 - 11a
8a + 12 = -3a + 3 + 31 - 11a ----› Distributive property
Combine like terms together
8a + 12 = 3 + 31 -3a - 11a
8a + 12 = 34 - 14a ---› Combining like terms
Add 14a to both sides
8a + 12 + 14a = 34 - 14a + 14a
22a + 12 = 34 ----› Addition property
Subtract 12 from both sides
22a + 12 - 12 = 34 - 12
22a = 22 ----› subtraction property of equality
Divide both sides by 22
22a/22 = 22/22
a = 1 ----› Division property of Equality
<u>Answer:</u>
(0.5, -0.5)
<u>Step-by-step explanation:</u>
We are given a line segment on the graph with two known points (ending points) and we are to find its mid point.
We know the formula for the mid point:

Substituting the coordinates of the given points in the above formula:
Mid point =
= (0.5, -0.5)
I'll go out on a limb and suppose you're given the matrix

and you're asked to find the determinant of

, where

and given that

.
There are two properties of the determinant that come into play here:
(1) Whenever a single row/column is scaled by a constant

, then the determinant of the matrix is scaled by that same constant;
(2) Adding/subtracting rows does not change the value of the determinant.
Taken together, we have that
It would be B.
The 6 and 9 look the same up side down and so do the HOH