I used the elimination method:
Multiply 9x+4y=7 by 2: 18x+8y=14
Multiply 6x-4y=2 by 3: 18x-12y=6
{18x+8y=14}
{18x-12y= 6}
18x-12y=6
-
18x+8y=14
_____________
-20y= -8
{18x + 8y = 14}
{-20y= -8}
Isolate y
y= 2/5 For 18x+8y=14 plug in y=2/5
Sovle 18x+8(2/5)=14 for x: x=3/5
<u>THE SOLUTIONS FOR THE SYSTEMS OF EQUATIONS ARE:
</u><u></u>y= 2/5, x=3/5
Answer:
<em>(-3, 1), (-3, -13), (4, -6), (-10, -6)</em>
Step-by-step explanation:
You can think of point (-3, -6) as the center of a circle of radius 7. Then all points on the circle are 7 units from point (-3, -6). There are 4 points 7 units away from point (-6, -3) whose coordinates are easy to find. Think of a vertical line and a horizontal line that go through point (-3, -6). Up and sown from point (-3, -6) are points (-3, 1) and (-3, -13). To the right and left of point (-3, -6) are points (4, -6) and (-10, -6).
Answer:
I would say the answer is C.
Step-by-step explanation:
Please tell me if I'm wrong. Hope you have a wonderful rest of your day or night! ^w^
The correct answer is: 300
Explanation:
1/10 of 3000 can mathematically be written as follows:
Now evaluate:
Divide 3000 by 10, you would get:
300
Hence the correct answer is 300.
-i
Answer:
a.
b.
Step-by-step explanation:
A. There are 3 methods (that I know of). The easiest method is the lattice multiplication, while the most commonly used is the FOIL method (First+Outer+Middle+Last)
For F, take the first terms of the 2 and multiply
For O, take the outer terms and multiply
For I, take the inner terms and multiply
For L, take the last terms and multiply
After that, add all of them up
B. Since the equation is in the form x^2+bx+c,
Now we need to find 2 numbers that will add up to 5 and multiply to 6.
Here are some of the combinations of numbers that multiply to 6
3*2
1*6
-3*-2
-1*-6
3 and 2 add up to 5 so: