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Komok [63]
1 year ago
5

Find the slope from points (9,-13), (7,-11)? That’s what my question is for my math homework.

Mathematics
1 answer:
musickatia [10]1 year ago
3 0

Givens.

The points are (9, -13) and (7, -11).

Use the slope formula.

m=\frac{y_2-y_1}{x_2-x_1}

Where,

\begin{gathered} x_1=9,x_2=7 \\ y_1=-13,y_2=-11 \end{gathered}m=\frac{-11-(-13)}{7-9}=\frac{-11+13}{-2}=\frac{2}{-2}=-1

Therefore, the slope is -1.

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Mashutka [201]
<span>deconstructing
48 : 2 = 24
24 : 2 = 12
12 :2 = 6
6 : 2 = 3
3 : 3 = 1
2 * 2 * 2 * 2 * 3 = 48 
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4 : 2 = 2
2 : 2 = 1
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6 : 2 = 3
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3 years ago
Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,
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Answer:  2.66 × 10⁻¹³

<u>Step-by-step explanation:</u>

First, use the decay formula   A=A_oe^{kt}   where

  • A is the final amount (amount left)
  • A₀ is the initial amount (amount you started with)
  • k is the rate of decay (you need to solve for this)
  • t is the time

Given:

  • A = 1/2(300) = 150
  • A₀ = 300
  • k = unknown
  • t = 28.8

150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\

Next, input the k-value and the new t-value to solve for A.

  • A = unknown
  • A₀ = 300
  • k = -0.0240676
  • t = 1440

A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\

5 0
3 years ago
If the diameter of a circle is increased by 6 cm, what is the increase in the circumference of the circle?
timofeeve [1]

Answer:

A

Step-by-step explanation:

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2 years ago
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Blizzard [7]

Answer:

\frac{25}{64}

Step-by-step explanation:

Blue Marbles =5

Pink Marbles =3

Total =3+5=8

Probability of drawing two marbles with replacement

=P(First Blue Marble AND Second Blue Marble)

=P(First Blue Marble) X P(Second Blue Marble)

=\frac{5}{8}X \frac{5}{8}\\\\=\frac{25}{64}

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PIT_PIT [208]

Answer:

A

Step-by-step explanation:

4 0
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