Answer:
Step-by-step explanation:
x has the same value as RT since they are equal sides of the isosceles triangle.
RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.
Acoording to the property of such triangles, the ratio of sides is:
We have:
Use the ratio to find the lenght of RT
- 2√3 : RT = √3 : 2
- RT = 2*2√3/√3
- RT = 4
So the value of x is 4 units
Answer: (-4,-6) is the point that ALMOST satisfies both inequalities. IF they were equalities, this would be the solution.
The question is a bit confusing as it asks for "which points (x,y) satisfies both" It's ungrammatical, and many points (infinite within the shaded region) are solutions that SATISFY the system of inequalities!
Step-by-step explanation: Substitute the x and y-values and see if the inequalities are true.
y>x-2 -6> -4-2 -6= -6
That point (-4,-6) is on the dashed line, so not exactly a true solution; this is a question about inequalities. So y values have to be greater than-6 or x-values less than -4 for a true inequality.
y>2x+2
-6>(2)(-4) +2
-6> -8 +2
-6> -6 Again, equal, so for this y-values have to be greater than-6 and/or x-values less than -4 in order to have a true inequality.
If you have the graph to look at, you can select any points in the shaded region that satisfies both of the inequalities.
Answer:
There were a total of 40 girls there
Step-by-step explanation:
32 divided by 4 is 8
So multiply 8 x 5 to get 40
5.5, divide 5,500 by 1,000 to get 5.5 kg.
5) A (1,2) B (2,4)
slope. (1-2)=2-4
slope. -1= -2
slope = 2
6) D (-5,1) E ( -2,0)
slope. (-5-(-2))=1-0
slope. (-5+2)=1
slope. -3=1
slope = -1/3
7) C (-3,4) E (-2,0)
slope. (-3-(-2))=4-0
slope. (-3+2)=4
slope. -1=4
slope = -4
8) D (-5,1) B (2,4)
slope. (-5-2)=1-4
slope. (-7)= -3
slope = 3/7
