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Masteriza [31]
2 years ago
14

PLS HELP I WILL GOVE BRAINLIEST

Mathematics
1 answer:
Gnom [1K]2 years ago
3 0

Answer:

these problems are always tough b/c they want you to translate normal thinking into math jargon  :D   soooo....

Step-by-step explanation:

they use the point slope formula... which looks like

y = y_{1} = m(x - x_{1})

where (x_{1} , y_{1} )  are the x , y coordinates of some point you're given.. sooo

they give us two points.. so we can put either one of those into the formula.. but we also have to find m.... or the slope ... to find m.. use the slope equation of

m = ( y_{2} - y_{1} ) / ( x_{2} - x_{1} )  

call either point  P1  and P2 ... i'll pick the top point as P1  and bottom as P2

then

m = ( -3 -1 ) / ( 1 - 3 )

m = -4 / -2

m = 2     ( yay  :) )

now use either point and plug it into the point slope formula, i'll use P1

y - 1 = 2(x-3)   ( this is the answer they are looking for )

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Given the function f(x) = 2x, find the value of f−1(32).
Oliga [24]

Answer:

it is -30

Step-by-step explanation:

you would divide both sides by x,then f=2

using PEMDAS we come to -30

5 0
3 years ago
8.4.9 On or off the line & Practice Problems
Andrews [41]

Answer:

Number of quarters → 15

Number of dimes → 2

Step-by-step explanation:

Let the number of dimes I have = y

And number of quarters = x

Since, I have amount in my pocket = $2

Therefore, 0.10y + 0.25x = 2

100(0.10y + 0.25x) = 100×2

25x + 10y = 200

5x + 2y = 40

2y = -5x + 40

y = -2.5x + 20 ---------(1)

Total number of coins in my pocket = 17

x + y = 17

y = -x + 17 ---------(2)  

By using a graphing calculator we can graph these two lines (As attached)

Solution of the given system of equations will be the point of intersection of these lines.

Solution → (2, 15)

Number of quarters → 15

Number of dimes → 2

4 0
3 years ago
The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original
evablogger [386]

<em>Here</em> as the <em>Pentagon</em> is <em>regular</em> so it's <em>all sides</em> will be of <em>equal length</em> . And if we assume It's each side be<em> </em><em><u>s</u></em> , then it's perimeter is going to be <em>(s+s+s+s+s) = </em><em><u>5s</u></em>.And as here , each <em>side</em> is increased by <em>8 inches</em> and then it's perimeter is <em>65 inches</em> , so we got that it's side after increament is<em> (s+8) inches</em> and original length is <em>s inches </em>. And if it's each side is <em>(s+8) inches</em> , so it's perimeter will be <em>5(s+8)</em> and as it's equal to <em>65 inches</em> . So , <em><u>5(s+8) = 65</u></em>

{:\implies \quad \sf 5(s+8)=65}

{:\implies \quad \sf 5s+5\times 8=65}

{:\implies \quad \sf 5s+40=65}

{:\implies \quad \sf 5s=65-40}

{:\implies \quad \sf 5s=25}

{:\implies \quad \sf s=\dfrac{25}{5}=5}

{:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}

As we assumed the original side to be <em><u>s</u></em> .

<em>Hence, the original side's length 5 inches </em>

8 0
2 years ago
Analyze the diagram below and complete the instructions that follow?
yan [13]

Answer:

The exact value of tan(M) is 5/12 ⇒ answer (C)

Step-by-step explanation:

* Lets revise the trigonometry functions

- In ΔABC

# m∠B = 90°

# Length of AB = a , length of BC = b and length of AC = c

# The trigonometry functions of angle C are

- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse

- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse

- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C

* Now lets solve the problem

- In ΔONM

∵ m∠N = 90°

∵ MN = 12

∵ ON = 5

∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)

∴ tan(M) = 5/12

* The exact value of tan(M) is 5/12

6 0
3 years ago
A mixture requires 4 cups of water for every 7 cups of flour used. Use the ratio table to determine how many cups of water shoul
mr Goodwill [35]

Answer:

16 cups of water

Step-by-step explanation:

You find this by  dividing 28 by your ratio of flour to get 4, then multiplying the cups of water, 4, by 4 to get 16 cups of water

4 0
3 years ago
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