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sergij07 [2.7K]
4 years ago
6

A B and C are collinear, and B is between A and C. The ratio of AB to AC is 2:7. If A is at (0,-8) and B is (2,-4), what are the

coordinates of point C?
Mathematics
1 answer:
labwork [276]4 years ago
5 0

Answer:

  C = (7, 6)

Step-by-step explanation:

The problem statement tells us the relation between the points is ...

  (B-A)/(C-A) = 2/7

  7(B -A) = 2(C -A) . . . . . . multiply by 7(C-A)

  7B -7A +2A = 2C . . . . . add 2A

  C = (7B -5A)/2 . . . . . . . divide by 2

  C = (7(2, -4) -5(0, -8))/2 = (14, 12)/2 . . . . . fill in the values of A and B

  C = (7, 6)

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Chromium-51 has a half-life of 28 days. If Georgia leaves a bottle of 10,000-milligram capsules in her medicine cabinet for a ye
QveST [7]

For finding the strength of the capsules after one year, we will use half-life formula. The formula is:

A = A₀ (\frac{1}{2})^\frac{t}{h}

where, A= Final amount

A₀ = Initial amount

t= time elapsed

h= half-life

Here, in this problem A₀ = 10000 milligram, t= 1 year or 365 days

and h= 28 days

So, A = 10000 (\frac{1}{2} )^\frac{365}{28}

⇒ A = 10000 (\frac{1}{2})^1^3^.^0^4

⇒ A = 1.187

So, the strength of the capsules after one year will be 1.187 milligrams.

8 0
3 years ago
Dave has 25 3/4 feet of piping and needs to cut it in 1 1/2 foot measurements for a project. How many pieces of piping will he e
Ostrovityanka [42]

Answer: 17 1/6 or  17-18

(u guess which is right if its an integer ^^)

Step-by-step explanation:

25 3/4 ÷ 1 1/2

First change the mixed fractions to improper fractions.

<u>25 3/4 </u>= <u>103/4</u>

<u>1 1/2 </u>= <u>3/2</u>

Now divide: 103/4 ÷ 3/2

103/4 * 2/3 (multiply by flipping the second fraction)

= 206/12

Now divide: 206 ÷ 12

= 17 2/12 (<u>simplified:</u> 17 1/6)

<u><em>The answer will be 17 1/6 </em></u> (OR 17-18)

5 0
1 year ago
-(2x + 4) + x = 3x − 4x − 4
mariarad [96]

Answer:

Solve for

x

by simplifying both sides of the equation, then isolating the variable.

x

=

−

5

Step-by-step explanation:

5 0
4 years ago
Plz help me plz help me​
ivanzaharov [21]

Answer:

15 hours because she is working extra shifts

6 0
3 years ago
ANSWER FOR A BUNCH OF POINTS !!EASY!!
Tasya [4]

The correct option is D for the placement of regular polygon and the rhombus.

<h3>What is defined as the regular polygon?</h3>
  • A polygon is a two-dimensional enclosed image created by connecting three or more straight lines.
  • A rhombus is a special parallelogram because it meets the definition of a parallelogram, which is a quadrilateral to two pairs of parallel sides.
  • A polygon is made up of three parts:
  1. Sides: A side is a line segment that connects two vertices.
  2. Vertices: A vertex is the point where two sides meet.
  3. Interior and exterior angles An interior angle is an angle formed by joining the sides of a polygon within its enclosed surface.

As, all the given figures comes under the regular polygon, all are placed in the left circle.

But the three diagram in white, orange and blue colour are regular polygon along with rhombus.

Thus, all three are placed in the intersection of the both circle of the vein diagram.

To know more about the regular polygon, here

brainly.com/question/1592456

#SPJ1

8 0
1 year ago
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