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: 
Step-by-step explanation:
We know that the standard quadratic equation is ax^2+bx+c=0
Let's compare all the given equation to it and , find discriminant.
1. a=2, b= -7, c=-9
So it has 2 real number solutions.
2. a=1, b=-4, c=4
So it has only 1 real number solution.
3. a=4, b=-3, c=-1
So it has 2 real number solutions.
4. a=1, b=-2, c=-8
So it has 2 real number solutions.
5. a=3, b=5, c=3
Thus it does not has real solutions.
pr=no:of favourable outcomes/no:of possible outcomes
no:of favourable outcomes=1
no:of possible outcomes=
<h3>
Answer: Choice A) triangle FDE = triangle IGH</h3>
There are 3 ways to label any triangle. We simply list 3 points in any order. Once we pick an order, the other triangle must follow that same pattern for the sides and angles to match up.
With choice A, we start at the bottom for both triangles (points F and I). For the triangle on the right, we go in counterclockwise direction to get F, D, then E. So we have FDE. The triangle on the left will go opposite this and we go clockwise: I to G to H. So we have IGH.
angle F = angle I
angle D = angle G
angle E = angle H
segment FD = segment IG
segment DE = segment GH
segment EF = segment GI
(a+b)(a-b) = a^2 - b^2
(1+5/6) (1-5/6) = 1^2 - (5/6)^2 = 1 - 25/36 = 36/36 - 25/36 = (36-25)/36 = 11/36
11/36 is your answer
