This question is worded slightly strangely but I believe I understand it.
To eliminate x, multiply the second equation by 8, so that it becomes 4x + .8y= 96
Then you can subtract 4x on the top by 4x on the bottom to eliminate it.
Answer:
y = 13
z = 11
Step-by-step explanation:
14. We know that if the two triangles are congruent, then the hypotenuses will be the same. So we can say that
6y = 5y + 13
We can solve for y by subtracting 5 y from both sides and find out that y = 13.
15. Again, we know if the triangles are congruent then the two shorter legs will be the same, so we can say that:
3z = z + 22
2z = 22
z = 11
Answer:
1.6726
Step-by-step explanation:
square each standard deviation, add them then squareroot.
Answer:
The slope of the line perpendicular to the given line is 2/3
Step-by-step explanation:
step 1
Find the slope of the given line
we have
3x+2y=6
isolate the variable y
2y=-3x+6
y=-(3/2)x+3
The slope of the given line is m=-(3/2)
step 2
Find the slope of the line perpendicular to the given line
Remember that
If two lines are perpendicular, their slopes are opposite reciprocal of each other ( the product of their slopes is equal to -1)
so
m1*m2=-1
we have
m1=-3/2
so
m2=2/3
therefore
The slope of the line perpendicular to the given line is 2/3
Answer:
207 m².
Step-by-step explanation:
To find the surface area of the model, the area of the square base as well as the triangular sides will need to be found.
To find the area of the base, we can simply use the formula: A = s².
If s = 9, then:
A = 9²
A = 81. This is the area of the base.
To find the area of a triangular side, use the formula: A = 1/2(bh). b = 9, and h = 7.
Plugging these in get:
A = 1/2(7 · 9)
A = 1/2(63)
A = 31.5.
Since there are 4 sides to the base, this means that there are 4 triangular sides. Multiply the area of one triangle by 4, resulting in:
31.5 ×4 = 126.
Add up the area of the base and lateral parts of the pyramid, which equals:
81 + 126 = 207 m².