Answer:
D.) This system has no solutions (The one you chose is correct)
Step-by-step explanation:
y = 8x + 9
-8x + y = -1
-8x + y = -1
y = 8x - 1
These two lines will also never meet as the slope are both 8, but the y-intercept is different, to check, look at the graph below.
11,900,000,000 = 1.19 x 10^10
<h3>
Answer: 9 units</h3>
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Explanation:
Let's calculate the volume of one small spherical bead
V = (4/3)*pi*r^3
V = (4/3)*pi*3^3
V = 36pi
The volume of 27 such identical beads is 27*36pi = 972pi cubic units.
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This is the new volume and we'll use this to find the radius r of the larger sphere.
V = (4/3)*pi*r^3
972pi = (4/3)*pi*r^3
3*972pi = 4pi*r^3
2916pi = 4pi*r^3
r^3 = (2916pi)/(4pi)
r^3 = 729
r = (729)^(1/3)
r = 9 units is the radius of the larger gold sphere
Answer:
B. If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent.
Step-by-step explanation:
The definition of Hypotenuse-Leg Theorem is stated in option B . In the picture attached, an example is given.
