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igor_vitrenko [27]
4 years ago
11

A line passes through the points (1, 4) and (3, 4). Which is the equation of the line?

Mathematics
1 answer:
xeze [42]4 years ago
8 0

Answer:

y = -4x + 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step 1: Find slope <em>m</em>

<em />m=\frac{-4-4}{3-1}<em />

<em />m=\frac{-8}{2}<em />

m = -4

y = -4x + b

Step 2: Find y-intercept <em>b</em>

4 = -4(1) + b

4 = -4 + b

8 = b

Step 3: Rewrite linear equation

y = -4x + 8

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A survey asked 40 students If they play an instrument and if they are in band.
wel

Answer:

352x^2

Step-by-step explanation:

40\times 1.25x\times 2.20x\times 3.2040×1.25x×2.20x×3.20

(40)1.25x2.20x3.20

+ − .   ln > <

× ÷ /   log ≥ ≤

( )    logx = %

1 Take out the constants.

(40\times 1.25\times 2.20\times 3.20)xx(40×1.25×2.20×3.20)xx

2 Simplify  40\times 1.2540×1.25  to  5050.

(50\times 2.20\times 3.20)xx(50×2.20×3.20)xx

3 Simplify  50\times 2.2050×2.20  to  110110.

(110\times 3.20)xx(110×3.20)xx

4 Simplify  110\times 3.20110×3.20  to  352352.

352xx352xx

5 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

​a

​​ x

​b

​​ =x

​a+b

​​ .

352{x}^{2}352x

​2

​​  

Done

3 0
3 years ago
What is the solution to:<br><img src="https://tex.z-dn.net/?f=6%20%5Cgeqslant%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%2021" id="Tex
Vladimir79 [104]
I really hope this helps. Btw x<-30

7 0
3 years ago
Write a correspoding real world problemas TO represent 2x - 125 = 400
Nataly [62]
There is a baseball game. It is 2$ for every person, which is x, that wants to watch the game. After the game, you pay the umpires a total of 125$. After the end of the day you have made 400 dollars. How many people came to the game. So find x.
6 0
3 years ago
Two vertical poles of lengths 11 ft and 14 ft stand 16 ft apart. A cable reaches from the top of one pole to some point on the g
Alex17521 [72]

We are given

total length of cable is 30 feet

and this cable is on hypotenuse sides of the triangles

so, we can draw triangle as

Let's assume those hypotenuse as 'a' and 'b'

so, we will have

a+b=30

now, we can find 'a' and 'b' from triangle

Smaller triangle:

a=\sqrt{x^2+11^2}

Larger triangle:

b=\sqrt{(16-x)^2+14^2}

we know that

a+b=30

so, we can plug this value

and we get

\sqrt{x^2+11^2}+\sqrt{(16-x)^2+14^2} =30

now, we can solve for x

\left(\sqrt{x^2+11^2}\right)^2=\left(30-\sqrt{\left(16-x\right)^2+14^2}\right)^2

32x-1231=-60\sqrt{x^2-32x+452}

1024x^2-78784x+1515361=3600x^2-115200x+1627200

now, we can use quadratic formula

we get

x=\frac{-\sqrt{36416^2-1152389056}+36416}{5152},\:x=\frac{\sqrt{36416^2-1152389056}+36416}{5152}

x=4.510,x=9.627

so,

The point should be located 4.510 feet , 9.627 feet from the smaller pole to use 30 feet cable............Answer

6 0
3 years ago
If sin Θ = 5/6 , what are the values of cos Θ and tan Θ?
CaHeK987 [17]
For the answer to the question above, I'll provide a solution to my answer below
sin²θ + cos²θ = 1 

<span>so, cos²θ = 1 - (5/6)² => 11/36 </span>

<span>=> cosθ = ±√11/6 </span>

<span>Also, tanθ = sinθ/cosθ => (5/6)/(±√11/6) </span>

<span>i.e. tanθ = ±5/√11 
</span>I hope my answer helped you. Feel free to ask more questions. Have a nice day!
8 0
3 years ago
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