I hope this helps you out!!
We start off by drawing out the triangle on a graph! Placing points (x ,y) at
(-3, 5), (-5, -2) and (2, -2). I've included a screenshot of how the triangle should look to help you out visually!
From there, to find the area we use the equation, area =
b • h.
To find the base, we subtract: -5 - 2 = -7, meaning that the base equals 7.
And to find the height, we subtract: 5 - (-2) = 7, also meaning that the height equals 7 as well.
Plugging those two numbers in the equation for area, we get:
area =
7 • 7
area =
49
area = 24.5 or 24 1/2, in this case your answer should be B.
When we are given a system of 3 linear equations, with 3 variables, we proceed as follows:
We consider 2 pairs or equations, for example (1, 2) and (2, 3), and eliminate one of the variables in each pair, creating a system of 2 linear equations with 2 unknowns.
Note that the third equation contains -2y which can be used to eliminate easily -6y in the second equation, and -4y in the fourth.
i) consider equations 1 and 3:
-3x-4y-3z=-7
5x-2y+5z=9
multiply the second equation by -2:
-3x-4y-3z=-7
-10x+4y-10z=-18
adding the 2 equations we have -13x-13z=-25
ii) consider equations 2 and 3. Multiply the third equation by -3:
2x-6y+2z=3
-15x+6y-15z=-27
adding the 2 equations we have -13x-13z=-24
So we got -13x-13z is -25, but also -24. this means the system is inconsistent, so it has no solution.
Answer: the system has no solutions
Answer:
x°=96°
y°=88°
z°=151°
Step-by-step explanation:
55°+29°+×°=180°
×°=96°
96°+55°=z°
z°=151
then let variable A° be one of the inner angle of the triangle
A°+z°=180°
A°+151°=180°
A°=29°
finally adding all the inner angles will give us 180°
96°+y°-13°+29=180°
y°=88°
7-3=4
9-2=7
4x7=28
Use PEMDAS for order of operations, it will save your life
Parenthesis Exponents Multiply Divide Add Subtract
Multiply and Divide and Add and Subtract can be switched around with each other, but multiply and divide always happens before add and subtract. The reason you add first here is because it is in the parenthesis.
2 times 108 is 216
3 times 72 is 216
4 times 54 is 216
6 times 36 is 216