Answer:
D.) 12
Step-by-step explanation:
16x - 3(4x + 5) = 2x + 9
16x - 12x - 15 = 2x + 9
4x - 2x = 15 + 9
2x = 24
2x/2 = 24/2
x = 12
Check:
16x - 3(4x + 5) = 2x + 9
16(12) - 3(4(12) + 5) = 2(12) + 9
192 - 3(48 + 5) = 2(12) + 9
192 - 3(53) = 24 + 9
192 - 159 = 33
33 = 33
Answer:
(2,-5) and (2,1).
Step-by-step explanation:
We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.
A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.
Standard form of a circle is
where, (h,k) is center and r is the radius.
Now, put x=2.
Taking square root on both sides.
So, the y-coordinates of the points are -5 and 1.
Therefore, the required points are (2,-5) and (2,1).
Answer:
B :
Step-by-step explanation:
If you divide a rhombus using its diagonals, you get 4 right triangles, whose legs are both 1/2 the length of the diagonals.
This means that the legs of one of those 4 triangles have lengths of 2x/2, and 8x/2, so the legs of one of those triangles x and 4x. This makes the length of one side equal to . Because all 4 sides are the same length, you multiply this value by 4, and get , which is B.
11 is the answer.
10+10=20
20-9=11
11+9=20
11