Answer:
(-2, 3)
Step-by-step explanation:
4x + 5y = 7
3x - 2y = -12
Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.
Let's work with y.
5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.
2(4x + 5y = 7)
5(3x - 2y = -12)
Multiply.
8x + 10y = 14
15x - 10y = -60
Eliminate.
23x = -46
Divide both sides by 23.
x = -2
Now that we know x, let's plug it back into one of equations to find y.
4x + 5y = 7
4(-2) + 5y = 7
Multiply.
-8 + 5y = 7
Add.
5y = 15
Divide.
y = 3
Now we know x and y; let's plug both back into the equation we have not checked yet.
3x - 2y = -12
3(-2) - 2(3) = -12
Multiply.
-6 - 6 = -12
Subtract.
-12 = -12
Your solution is correct.
(-2, 3)
Hope this helps!
Answer:
- 5/3
Step-by-step explanation:
Line is passing through the points (0, 2) & (3, - 3)
Slope of the graph = (- 3 - 2)/(3 - 0) = - 5/3
Answer:
h = 5 units
Step-by-step explanation:
Given that,
The area of the parallelogram, A = 35 unit²
In the attached figure, we can see that the base is 7 unit.
We know that,
Area of a parallelogram, A = b × h
So,

So, the value of h is equal to 5 units.
Answer:
8 + 4i
Step-by-step explanation:
Put corresponding terms above each other and subtract in the usual way.
z = 3 + 5i
<u> w = -5 + i
</u>
z - w = 8 + 4i: 3 - (-5} = 8; 5i - 1i = 4
i
Answer: 720
Step-by-step explanation: to solve this problem, we do 15*8*12= 1440
this shape is half of that though, so we do 1440/2= 720, so the answer is 720