<span>6x – 7y = 16
2x + 7y = 24
This system is easily solvable by the elimination method as the y-terms are opposites of each other. You may add the two equations together and they will cancel out.
</span> 6x – 7y = 16
2x + 7y = 24
+___________
8x – 0 = 40
8x = 40
x = 5
Substitute 5 for x into either of the above equation and solve algebraically for y.
2x + 7y = 24
2(5) + 7y = 24
10 + 7y = 24
7y = 14
y = 2
Check work by plugging both x- and y-values into each original equation.
6x – 7y = 16 => 6(5) – 7(2) = 16 => 30 – 14 = 16
2x + 7y = 24 => 2(5) + 7(2) = 24 => 10 + 14 = 24
Answer:
x = 5; y = 2
(5, 2)
If a and b represent the height and base of the triangular face, and h represents the length of its hypotenuse, and w represents the width or thickness of the prism, the surface area (A) is
.. A = ab +w*(a +b+ h)
Of course the area of each triangle is (1/2)ab, but there are two of them, so their total area is ab.
Put in the numbers and do the arithmetic. If you have a lot of them all specified in this way, a spreadsheet can make short work of it.
A = 5*12 +4*(5 +12 +13) = 160 . . . square inches
The answer should be D) 116.6 yards. To find the answer, you use Pythagoreans Theorem. Comment if you would like me to elaborate, please mark me brainliest it would be cash money of you
Answer:
n=13
Step-by-step explanation:
because you can do inverse method 16-3 equal 13
Answer:
The answer is z < -8. First of all, you use distributive property to get rid of the brackets. 3(z) = 3z and 3(1) = 3. The left side of the equation is now 3z + 3 + 11. Then, on the other side, -2(z) = -2z and -2(13) = -26. The right side of the equation is now -2z - 26. Then we combine like terms on the left side so we end up with 3z + 14 while the other side is still -2z - 26. We can put all of the z on the left side, so add 2z to both sides and then we have 5z + 14 < -26. We can put all of the “regular” numbers on the right side, so subtract 14 from each side and then we have 5z < -40. Divide each side by 5 and you end up with z < -8!
Step-by-step explanation: