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Mars2501 [29]
3 years ago
12

on a map the distance between two towns is 4 inches. the actual distance between the towns is 360 miles. what is the scale of th

e map?
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0
1 in = 90 miles I believe would be the scale
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Write an equation for the parabolla
pentagon [3]

well, is noteworthy that an x-intercept is when y = 0 or namely is a solution or root of the quadratic, so we know then that the x-intercepts or solutions are at (-1,0) and (3,0), that simply means that

\bf (\stackrel{x}{-1},\stackrel{y}{0})\qquad (\stackrel{x}{3},\stackrel{y}{0})\qquad \begin{cases} x = -1\\ x+1=0\\ \cline{1-1} x=3\\ x-3=0 \end{cases}~\hfill \implies ~\hfill \stackrel{\textit{equation of the parabola}}{y = a(x+1)(x-3)} \\\\\\ \textit{we also know that } \begin{cases} x = 1\\ y = -8 \end{cases}\implies \underline{-8}=a(\underline{1}+1)(\underline{1}-3)

\bf -8=a(2)(-2)\implies -8=-4a\implies \cfrac{-8}{-4}=a\implies \boxed{2=a} \\\\[-0.35em] ~\dotfill\\\\ y=2(x+1)(x-3)\implies y=2(\stackrel{\mathbb{FOIL}}{x^2-2x-3})\implies y=2x^2-4x-6

4 0
3 years ago
Evaluate <br><br> 14y ÷ 5 - 4.9 for y = 6
Lubov Fominskaja [6]

Answer:

The final answer is 11.9

Step-by-step explanation:

14 x 6 = 84

84/5 = 16.8

16.8 - 4.9 = 11.9

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

8 0
3 years ago
The raitio in simplest form 12:3
pychu [463]

Answer:

4:1

Step-by-step explanation:

you can take the smaller number and divide it by the larger number in this ratio, and the lowest number that you can have is a 1 so this is the only answer that makes any sense.

<h2>Please mark me the brainliest!!</h2>
4 0
3 years ago
If y varies directly with x and y = -15 when x = 3, find x when y = 10.
Anika [276]

Answer:

like here x= 3 and y= -15

here, its 5 times goes in negative

now if y = 10 TO X IS 5 TIME POSITIVE HERE = 10×5 = 50

4 0
3 years ago
On a piece of paper, use a protractor to construct right triangle DEF with DE=4 in. , m∠D=90° , and m∠E=45° .
uysha [10]

Answer: DF = 4 in

Step-by-step explanation:

Here in triangle DEF,

In which DE = 4, m\angle D=90^{\circ} , and m\angle E=45^\circ}

Since, tan E = \frac{FD}{DE}

⇒ tan 45^{\circ} = \frac{FD}{DE}

⇒  1 = \frac{FD}{4}

⇒  FD = 4

Thus, first option is correct.

8 0
3 years ago
Read 2 more answers
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