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3 years ago

Determine the number of solutions that exist to the equation below 8(j-4)=2(4j-16)

1 answer:

5 0

Hello :
<span>8(j-4)=2(4j-16)
</span><span>2(4j-16)= 2(4(j-4))=8(j-4)
</span>8(j-4)= 8(j-4)....(identity : infinty solutions)

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Can someone help me with this problem

Alex_Xolod [135]

Answer:

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

A(-3, 0) , B(3, 2)

$AB=\sqrt{(3-(-3))^2+(2-0)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=\sqrt{4\cdot10}=\sqrt4\cdot\sqrt{10}=2\sqrt{10}$

A(-3, 0), D(-2, -3)

$AD=\sqrt{(-2-(-3))^2+(-3-0)^2}=\sqrt{1^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

AB = CD and AD = BC

The area of a rectangle:

$A=(AB)(AD)$

Substitute:

$A=(2\sqrt{10})(\sqrt{10})=(2)(10)=20$

The perimeter of a rectangle:

$P=2(AB+AD)$

Substitute:

$P=2(2\sqrt{10}+\sqrt{10})=2(3\sqrt{10})=6\sqrt{10}$

4 0

3 years ago

You want to go to the skate park, and you have two options:

Tcecarenko [31]

Answer:

See Explanation

Step-by-step explanation:

<u>Define the variables</u>

Let the entry fee be c and the hourly rate be m

Let the number of hours be x and the total amount be y

<u>Work to solve</u>

For Sami's skate

$c = 6$ and $m = 2$

For Brad's skate

$c =10$ and $m = 1$

<u>The equations</u>

The equation is derived using: $y = mx + c$

For Sami's skate

$y = 2x + 6$

For Brad's skate

$y = x + 10$

To do this, we equate both expressions

i.e.

$y = y$

$2x + 6 = x + 10$

$2x -x = 10 - 6$

$x = 4$

i.e. the cost are the same at the 4th hour

Substitute 4 for x in any of the equations

$y = x + 10$

$y = 4 + 10$

$y = 14$

3 0

2 years ago

What is 4 x312 but in distributive property

eduard

Answer:

4 times 312 = 1,248 = 312 times 4 = 1,248

Hope this helps, sorry if it didn't.

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3 years ago

What substitution should be used to rewrite 16(x^3+1)^2-22(x^3+1)-3=0 as a quadratic equation?

lubasha [3.4K]

$16(x^3+1)^2-22(x^3+1)-3=0\\\\\text{substitute}\ t=x^3+1\\\\16t^2-22t-3=0$

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2 years ago

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ArbitrLikvidat [17]

A few equivalent ratios for 3:4 are:

6:8
12:16
24:32
60:80
300:400
240:320
45:60
75:100

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