Answer: diameter is the length all the way around.
Step-by-step explanation:
Answer:
forty-nine point five hundred sixty four thousandths
Step-by-step explanation:
Answer:
⇒
2
√
3
(
1
+
√
2
)
−
√
2
+
3
√
5
Explanation:
(
2
√
3
+
3
√
20
−
(
4
√
2
−
3√
5
2
6
)
⇒
2
√
3
+
3
√
2−
4
√
2
+
3
√
5
+
2
√
6
,
Removing bracess
⇒
2
√
3
−
√
2
+
3
√
5
+
2
√
2
⋅
√
3
⇒
(
2
√
3
+
√
2
⋅
2
√
3
)
−
√
2
+
3
√
5 ⇒
2
√
3
(
1
+
√
2
)
−
√
2
+
3
√
5
Answer:
The center of the tetrahedron divides each of the four heights (or medians) in the ratio 1:3 (in an equilateral triangle the corresponding ratio is 1:2). The smaller part is also the radius of the inscribed sphere. Therefore the radius of this sphere is one quarter of the height or 9 in your case.
When a line is perpendicular to another line, the gradient becomes the “negative reciprocal” which basically means flip the gradient and change the sign. In this instance the negative reciprocal of 5x has to be -1/5 as it has been flipped and made negative. At this point the answer can only be B or C.
After this you can use the point given to work out the y-intercept:
y-y1 = m(x-x1)
y-3 = -1/5(x+10)
y-3 = -1/5x - 2
y = -1/5x -1
And there’s your answer: C
