Answer:
YZ = 12
Step-by-step explanation:
From the question given above, the following data were obtained:
Length of XZ = 13
Lenght of XY = 5
Lenght of YZ =?
The length of YZ can be obtained by using pythagoras theory since the figure is a right angle triangle. This can be obtained as follow:
XZ² = XY² + YZ²
13² = 5² + YZ²
169 = 25 + YZ²
Collect like terms
169 – 25 = YZ²
144 = YZ²
Take the square root of both side.
YZ = √144
YZ = 12
Therefore, the length of YZ is 12
Answer:
336
Step-by-step explanation:
Area of Rhombus = (1/2)*xy
Where x and y are length of diagonals
Area = (1/2) * 21 * 32 = 21* 16 = 336
Area = 336 m²
Answer: 70 percent
Step-by-step explanation:
280 divided by 400 is 0.70, so 280 is 70 percent of 400.
Answer:
y = 5x - 3
Step-by-step explanation:
As we move from the point (-2, -13) to the point (1, 2), we see the x-value (the 'run') increasing by 3 and the y-value (the 'rise') increasing by 15. Therefore the slope of the line passing thru these two points is m = rise / run = 15/3, or m = 5.
Using the slope-intercept formyula y = mx + b, we find the y-intercept as follows, using 1 for x, 2 for y and 5 for m:
2 = 5(1) + b, or
b = -3
Then the desired equation is
y = 5x - 3
