Answer:
the solution is (-4, -3)
Step-by-step explanation:
Multiply the first equation by 2. This produces 4x + 2y = -14.
Now combine this result with the second equation:
4x + 2y = -14
-3x - 2y = 10
------------------
x = -4
Subbing -4 for x in the first equation yields 2x - 4 = -7, or 2x = -3.
Then x = -3/2, and the solution is (-4, -3)
1.50 + 0.50(x-1) <u><</u> 25
1.50 + 0.50x - 0.50 <u><</u> 25
1 + 0.50x <u><</u> 25
<u>-1 -1</u>
0.50x <u><</u> 24
<u> ÷0.50 ÷0.50</u>
x <u><</u> 48
1.50 + 0.50x <u><</u> 25 ; x <u><</u> 47 miles 3rd option in the choices.
To check:
1.50 + 0.50(47) <u><</u> 25
1.50 + 23.50 <u><</u> 25
25 <u><</u> 25
Answer:
x=4 is the correct answer:)
Step-by-step explanation:
I believe the correct answers are:
<span>UV = 14 ft and m∠TUV = 45°</span>
<span>ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Or, in other words, Options A and D.
</span>
Answer:
3 metres
Step-by-step explanation:
Let the width of the pathway be x
Area: (9+2x)(4+2x)
36 + 8x + 18x + 4x²
4x² + 26x + 36
Increased area is 150:
4x² + 26x + 36 = 150
4x² + 26x - 114 = 0
2x² + 13x - 57 = 0
2x² + 19x - 6x - 57 = 0
x(2x + 19) - 3(2x + 19) = 0
(x - 3)(2x + 19) = 0
x = 3, x = -19/2
