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Snezhnost [94]
1 year ago
9

Part A Which graph has the following solution set (-9,10) (-6,5) (0,-5) (3,-10)Part B Write the equation of the graph from part

a.

Mathematics
1 answer:
marysya [2.9K]1 year ago
3 0
\begin{gathered} \text{Let:} \\ (x1,y1)=(-9,10) \\ (x2,y2)=(-6,5) \\ m=\frac{y2-y1}{x2-x1}=\frac{5-10}{-6-(-9)}=\frac{-5}{3}=-\frac{5}{3} \\  \end{gathered}

Using the point-slope equation:

\begin{gathered} y-y1=m(x-x1) \\ y-10=-\frac{5}{3}(x+9) \\ y-10=-\frac{5}{3}x-15 \\ y=-\frac{5}{3}x-5 \end{gathered}

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I will give brainliest if applicable
insens350 [35]

Answer:

The average is exactly 26,375 gallons of gas per hour.

How I found this is buy subtracting each numbers like 422,000 - 369,250 = 52,750. 369,250 - 316,500 = 52, 750 and so on. They all ended up being 52,750, but then I realized that they are all 2 hours apart and the question asks of gallons of gas per 1 hour so then I divided 52,750 in half and got my final answer, 26,375.

Step-by-step explanation:

This is how much gas the jet uses per 1 hour

my question doesn't ask me to create a linear model but it asks for gasoline per hour, and it's just like this question with the same graph so if you have the same as me this is the answer.

8 0
2 years ago
A building casts a shawdow 48 feet long. At the same time, A 40 feet tall flag pole casts a shadow 9.6 feet long. What is the he
frutty [35]
I believe it's 200 feet tall.

40/9.6 = x/48
Use laws of proportions to solve for x
5 0
3 years ago
Two boys divided $3.36 so that one boy received 12 cents less than three times as much as the other. How was the money divided?
Fed [463]
Let's first convert that amount of money into cents, which makes 336 cents. Then, let's denote the amount of money one of the boys has with x. The other boy has got 3x-12 amount of money. We can construct an equation. 3x-12+x=336. Solving it we find that x=87 cents or $ 0.87 and the other boy holds $2.49 amount of money.
7 0
3 years ago
The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?
adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)

\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t  \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}

$$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$$

3 0
2 years ago
Plz help me well mark brainliest if correct!....
LUCKY_DIMON [66]

Answer:

C

Step-by-step explanation:

B can immediately be eliminated because it has an area of 14.

A and C have an area of 10.

So add the sides.

C:

4 + 4 + 1 + 1 + 2 + 2 + 1 + 3

= 18

A: 3 + 3 + 2 + 2 + 1 + 1 + 1 + 1 =

10 + 4 =

14

7 0
3 years ago
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