Answer:
z = 24, y = 8, x = 27
Step-by-step explanation:
Let x, y, and z be the length of the sides respectively.
x + y + z = 59 -- (1)
x = (y + z) - 5 -- (2)
2y = x - 11 -- (3)
Substitute eq. 2 into 1:
(y + z) - 5 + y + z = 59,
2y + 2x = 64,
2(y + z) = 64,
y + z = 64/2 = 32
<u>y = 32 - z</u>
Rearrange eq. 3 and equate:
2y = x - 11, x = 2y + 11
(y + z) - 5 = 2y + 11
<u>z - 16 = y</u>,
32 - z = z - 16, z = 24, y = 32 - 24 = 8, x = (24 + 8) - 5 = 27
93% is 93/100 in fraction form. The reason it is 93/100 is because 93% came from the percentage of 100. You cannot simplify any more for it it in its lowest term. ANSWER:93/100
Answer:
Vertex of g(x) = ( -4 , 4)
Range of g(x) is
Step-by-step explanation:
For the Vertex of g(x),
Vertex of the graph is also called the turning point of the graph, as we see the graph of g(x) we can see that the axis of symmetry is at x = -4 meaning that left side of the graph on x = -4 is a mirror reflection on the right side of the graph.
So the x-coordinate of the vertex is -4
Now for the y-coordinate,
y-coordinate of the vertex is where the axis of symmetry occurs so the axis of symmetry is at x = -4 if we trace where x = -4 leads us we can see that it leads to y = 4 so the vertex of g(x) is ( -4 , 4)
Now for the Range of g(x),
The range is the set of possible output values, which are shown on the y-axis. Here we can see that the maximum value of g(x) on the y-axis is 4 then the values on the y-axis decrease
For example
Maximum value is 4 then decreases from there like 4 , 3 , 2 , 1 , 0 , -1 , -2 .... and so on if we see the graph . So the max value is 4 so the range becomes ,
because the maximum value is 4 and then decreases so that is why we add the less than equal to sign.
Answer:
Games played= 21 games
Step-by-step explanation:
Giving the following information:
Peyton's field hockey team wins 4 games out of every 7 games played.
We know that Peyton's team loses 3 games out of 7.
So if the team lost 9 games, the proportion is completed 3 times.
Games played= 3*7= 21 games
-√(81/9)+11 = -√9 +11 = -3+11 = 8
2√(100/4) - 23 = 2*√25 - 23 = 2*5 - 23 = -13