Since <span><span>5p</span><span>5p</span></span> does not contain the variable to solve for, move it to the right side of the equation by subtracting <span><span>5p</span><span>5p</span></span> from both sides.<span><span><span>9c</span>=<span><span><span>−5</span>p</span>+p</span></span><span><span>9c</span>=<span><span><span>-5</span>p</span>+p</span></span></span>Add <span><span><span>−5</span>p</span><span><span>-5</span>p</span></span> and <span>pp</span> to get <span><span><span>−4</span>p</span><span><span>-4</span>p</span></span>.<span><span><span>9c</span>=<span><span>−4</span>p</span></span><span><span>9c</span>=<span><span>-4</span>p</span></span></span>Divide each term by <span>99</span> and simplify.
Answer:
![AB=\left[\begin{array}{cc}32&1&18&-22\\\end{array}\right]](https://tex.z-dn.net/?f=AB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D32%261%2618%26-22%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
To multiply matrices, we need to take the dot product of each row and column.
First, the dot product of (1,5) and (2,6) is what goes in the top-leftmost section of the resulting matrix. So the dot product would be (1*2)+(5*6)=2+30=32.
Second, the dot product of (1,5) and (6,-1) is what goes in the top-rightmost section of the resulting matrix. So the dot product would be (1*6)+(5*-1)=6-5=1.
Third, the dot product of (-3,4) and (2,6) is what goes in the bottom-leftmost section of the resulting matrix. So the dot product would be (-3*2)+(4*6)=-6+24=18.
Fourth, the dot product of (-3,4) and (6,-1) is what goes in the bottom-rightmost section of the resulting matrix. So the dot product would be (-3*6)+(4*-1)=-18-4=-22.
Therefore, the resulting matrix is ![\left[\begin{array}{cc}32&1&18&-22\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D32%261%2618%26-22%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The following configurations are evaluated, as given or stated within the interrogate:
P(Q) = 0.6
P(R) = 0.9
When the variable constant of Q and R transition into independent events within the function notation, the product of the individual values, as equated to those particular independent variables, is required.
For example:
If P(Q) = 0.6 and P(R) = 0.9, and Q and R fuse, then find the product of 0.9 and 0.6 is obligated:
0.9 * 0.6 = 0.54
Thus, given the independent events, P(Q and R) is equivalent to 0.54.
Answer:
Step-by-step explanation:
<em>See attached diagram (not to scale). </em>
<em>All given details reflected.</em>
a) <u>Find the measure of XZ using the law of cosines:</u>
- y = √(5² + 3² - 2*5*3*cos 135°) = 7 km (rounded)
b) <u>Now using the law of sines find the measure of angle X:</u>
- 7 / sin 135° = 5 / sin X
- sin X = 5 sin 135° / 7
- m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)
<u>The bearing of Z from X is:</u>
Answer:
a: Angle EBD
b: Can't really phrase this well, a semicircle that is to the left or right of diameter BD
c: Arc EDC
d: 80 degrees
e: 180
Step-by-step explanation:
An inscribed angle is an angle with all 3 points on the circumference of a circle.
A semicircle is half a circle
A major arc is an arc greater than 180 degrees
The inner angle is 80 degrees
Arc BCD is half a circle so its 360/2=180 degrees
