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larisa [96]
3 years ago
15

Please help me. Thanks! :)

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>
  • R (-1,5)
  • S (-3,1)
  • T (-7,3)
  • V (-5,7)

{:}\leadsto\sf RS=\sqrt {(-3-1)^2+(1-5)^2}

{:}\leadsto\sf \sqrt {(-4)^2+(-4)^2}

{:}\leadsto\sf \sqrt {16+16}

{:}\leadsto\sf \sqrt {32}

{:}\leadsto\sf RS=\sqrt{32}

<h2>____________________</h2>

{:}\leadsto\sf ST=\sqrt {(-7-3)^2+(3-1)^2}

{:}\leadsto\sf \sqrt {(-10)^2+(2)^2}

{:}\leadsto\sf \sqrt {100+4}

{:}\leadsto\sf ST={\sqrt{104}}

<h2>___________________</h2>

{:}\leadsto\sf TV=\sqrt {(-5-7)^2+(7-3)^2}

{:}\leadsto\sf \sqrt{(-12)^2+(4)^2}

{:}\leadsto\sf \sqrt {144+16}

{:}\leadsto\sf TV=\sqrt {150}

<h2>____________________</h2>

{:}\leadsto\sf RV=\sqrt {(-5-1)^2+(7-5)^2}

{:}\leadsto\sf \sqrt{(-6)^2+(2)^2}

{:}\leadsto\sf \sqrt {36+4}

{:}\leadsto\sf RV=\sqrt {40}

<h2>______________________</h2>

Perimeter =RS+ST+TV+RV

{:}\leadsto\sf \sqrt{32}+\sqrt {104}+\sqrt {150}+\sqrt {40}

{:}\leadsto\sf Perimeter =4\sqrt{20}

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How do you solve it?
Elis [28]

At heart we're being asked for a line through two points,


(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})


In general the line through (a,b) and (c,d) is


(y-b)(c-a)=(x-a)(d-b)


Check that you understand why both (a,b) and (c,d) are on this line.


Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,


(v - 355)(49 - 40) = (T - 40)(360 - 355)


9(v - 355) = 5(T - 40)


v-355 = \frac 5 9 T - \frac{200}{9}


v= \frac 5 9 T - \frac{200}{9} + 355


v= \frac 5 9 T + \frac{2995}{9}


That's our answer; let's check it.


When T=40, v = (5/9)40 + (2995/9) = 355 good


When T=49, v= (5/9)49 + (2995/9) = 360 good




7 0
3 years ago
Norman bought 5/6 pounds of cookies. He ate 3/5 cookies. What was the weight of the cookies he ate
schepotkina [342]

Answer:

Half a pound.

Step-by-step explanation:

To find the number of pounds he ate, multiply the fractions.

\frac{5}{6}*\frac{3}{5} = \frac{15}{30}=\frac{1}{2}

He ate 1/2 a pound.

8 0
4 years ago
If a lap is 440 yard how many laps would need to be completed to run a mile
Nataly_w [17]
1760 yards = 1 mile

Therefore we divide 1760 / 440 = 4 laps to run to complete a mile.
4 0
3 years ago
Read 2 more answers
I need help on this one
cupoosta [38]
593-540=53
9 R8
I hope that helped u:))
3 0
3 years ago
Need help with this question ​
Andreas93 [3]

The Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).

<h3>What is a conic section?</h3>

It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (circle is a special of type of ellipse).

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the graph:

a) The domain: all values of x

The range: all values of y

Except: Values at asymptotes are excluded.

Domain = (-∞, -2) U (-2, 2) U (2, ∞)

Range = (-∞, -2) U [-1, ∞)

b)

x-intercept = (-1.5, 0), (1.5, 0)

y-intercept = (0, -1)

c) Horiznotal asymptotes: y = -2

d)Vetical asymptotes: x = -2, x = 2

e) Oblique asymptotes: There is no oblique asymptotes

Thus, the Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).

Learn more about the conic section here:

brainly.com/question/8412465

#SPJ1

7 0
2 years ago
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