Answer:
50
Step-by-step explanation:
3x = 25 - 5y
-100 < 5y < 50
-50 < -5y < 100
-25 < 25 - 5y < 125
-8.333 < x < 41.667
41+8+1 = 50
Answer:
3 ft
Step-by-step explanation:
A cube is made of 6 equal faces each of which is a square with the same side length. The surface area of the cube is the surface area of one side multiplied by 6. We know the surface area is 54 so divide this by 6.
54/6 = 9 ft^2
Since the surface must be a square, take the square root of 9 which is 3 ft. The length of one edge of the cube is 3 ft.
1. AB 3-2/-1-1
-1/2
BC 2+1/1+3
3/4
AC 3+1/-1+3
4/2=2
It is a right triangle
2. JK -1-2/4+3
-3/7
LM -2+5/-5-2
-3/7
KL -1+5/4-2
<u>4/2=2</u>
JM 2+2/-3+5
<u>4/2=2
</u><u />The quadrilateral is a parallelogram
Answer: The TV is 48 inches wide.
Step-by-step explanation: To find the solution to this equation we must use the Pythagorean theorem. The Py. Theo. is basically the formula :
a^2 + b^2 = c^2 You say this as "A squared plus b squared equals c squared"
To use this formula you must plug in the given values of a and b, to find c. A and b represent the two bases of the triangle, while c is the hypotenuse. In this equation we already have the value of c and a. We need to find b, but in order to do that we use a different formula. We use : c^2 - a^2 = b^2
See :
52^2 - 20^2 = b^2 *The ^2 means "to the power of" aka an exponent*
2704 - 400 = b^2 *When dealing with ^2, all you do is multiply the number by itself*
2304 = b^2 *Next, we find the square root of our current number.*
48 = b
*Another way to solve this equation is to memorize all the Pythagorean Triples. With that knowledge, you wont even need to use the formula because you will already know all three values. I hope this helped you understand :)
Answer:
The number that goes in place of the question mark is 2.
Step-by-step explanation:
Let's solve it!
3x² + 12x - 24 = 0
First we can factor 3 out of each term:
x² + 4x - 8 = 0
Now we'll add 12 to both sides to complete the square:
x² + 4x + 4 = 12
And finish it off:
(x + 2)² = 12
So the answer to the question is 2
Bonus:
We can also now solve this for x:
(x + 2)² = 12
x = √12 - 2
x = 2√3 - 2
x ≈ 2 × ±1.732 - 2
x ≈ 1.464, -5.464
