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kiruha [24]
3 years ago
12

A diameter of the sphere is MT CT CD

Mathematics
1 answer:
iren2701 [21]3 years ago
3 0

Answer:

CT

Step-by-step explanation:

The diameter is the longest possible line through the sphere and passes through the center.

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Peter began his trip at 1 on the number line shown above. He moved 3 positive counts on day one and 8 negative counts on day two
Montano1993 [528]

Answer:

-4

Step-by-step explanation:

1 + 3 = 4

4 - 8 = -4

4 0
2 years ago
Read 2 more answers
A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.
Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

6 0
3 years ago
HELP If 90 containers of candy hearts cost $2.70, what is the constant of proportionality
erma4kov [3.2K]

Answer: 0.03$ per container or 3 cents per container.

Step-by-step explanation: 2.70/90=0.03.

5 0
2 years ago
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Please help me with this .
solniwko [45]

Answer:

x=4

Step-by-step explanation:

It's a parallel line so the equation is

100+19x+4=180

19x=180-100-4

19x=76

x=76/19

x=4

6 0
2 years ago
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8.4 = 3 x m what is the value of m
nataly862011 [7]
M= 2.8

Alternate form:

14/5 or 2 4/5
5 0
2 years ago
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