Answer: the answer is 16
Step-by-step- explanation:
Since the two sides of a triangle must be greater than the third we can take the sum of two smallest sides and add them together to equal 92. Meaning the length of the longest side MUST BE 91 feet so the amount of the remaining rope would equal to 107-91 and that’s where we get 16
<span>f(x)= x³-x²-9x+9 has x², so it will be
many to one function ( one value of y will correspond several values of x).
Answer is B.</span>
Answer:
(-4, 5)
Step-by-step explanation (work shown in attached picture):
1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.
2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.
Since x = -4 and y = 5, the solution is (-4, 5).
Answer:
12
Step-by-step explanation:
15 feet total amount combined by pole and birdhouse
4 foot tall person makes 5 feet long shadow
5x3=15
4x3=12 so the birdhouse and pole are 12 feet
Answer:
16
Step-by-step explanation:
We could use the distance formula to find the distance between the points in this problem, but when we look we see that the sides of the rectangle are parallel to the x and y-axis for each pair of sides. The first two points have a distance of 3 because 4-1=3. Since it is a rectangle, the opposite side will have the same length. For the sides perpendicular, we look at the points with the same x coordinate. Using (4,2) and (4,-3), we can calculate the length of the side by finding the distance by adding the absolute values of the y coordinate. 2+3=5. This means that the triangle has two sides with a length of 5 and two sides with a length of 3. Adding these together, 5+5+3+3 = 16.
