3x-4y=-5
-x+2y=3
Multiply the second by one:
3x-4y=-5
-2x+4y=6
Combine the equations:
x = 1
Substitute x and solve for y:
-2*1+4y=6
-2+4y=6
4y=8
y=2
Answer:
(1,2)
Step-by-step explanation:
2) a= -3/8 and b= -5/3
a×b= b×a
<u>-3</u><u> </u>× <u> </u><u>-5</u><u> </u> = <u> </u><u>-5</u><u> </u> × <u> </u><u>-3</u><u> </u>
8. 3. 3. 8
<u> </u><u>1</u><u>5</u><u> </u> = <u> </u><u>1</u><u>5</u><u> </u>
24. 24
3)a=8/11 and b= -6/11
a×b=b×a
<u> </u><u>8</u><u> </u> × <u> </u><u>-6</u><u> </u> = <u>-6</u><u> </u> × <u> </u><u>8</u><u> </u>
11. 11. 11. 11
<u> </u><u>-48</u><u> </u> = <u> </u><u>-48</u><u> </u>
121. 121
4) a= -9/15 and b= -7/2
a×b=b×a
<u> </u><u>-9</u><u> </u> × <u> </u><u>-7</u><u> </u> = <u> </u><u>-7</u><u> </u> × <u> </u><u>-9</u><u> </u>
15. 2. 2. 15
<u> </u><u>6</u><u>3</u><u> </u> = <u> </u><u>6</u><u>3</u><u> </u> , let's divide both by 3
30. 30
<u> </u><u>2</u><u>1</u><u> </u>= <u> </u><u>2</u><u>1</u><u> </u>
10. 10
You know from trigonometry that AB = 15 units, so the area of the larger triangle ACB is (1/2)*15*15 = 112.5 units^2.
Then the area of triangle ADE is
.. (112.5 -62.5) = 50 . . . . units^2
I got 22 because if u do 20 multiplied by 10% that gives u 2 which u then add onto the 20 to get the starting price. 10% of 22 is 2 and then 22-2 = 20 (if u we’re doing it from the starting price)
For a 95% confidence interval, the corresponding z-score is 1.96. Therefore the deviation will by 1.96*0.5 lbs = 0.98 lbs. Therefore, the confidence interval will be (5 - 0.98, 5 + 0.98), which is (4.02, 5.98). The weight range is from 4.02 lbs to 5.98 lbs.
