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1 year ago

10

Solve (4x – 5)2 = 9.

2 answers:

lyudmila [28]1 year ago

7 0

Answer:

x = 2 and 3/8

Step-by-step explanation:

(4x - 5)2 = 9

8x - 10 = 9

8x = 19

X = 19/8 or 2 and 3/8

Hope this helps! Pls give brainliest!

Kruka [31]1 year ago

3 0

Help this help
19/8 or 2 ,3/8

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B) Surface Area

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2 years ago

RS=2x-8, ST = 11, RT = x+10

ziro4ka [17]

Answer:

$Equation~=~\Large\boxed{2x+3=x+10}$

$x~=~\Large\boxed{7}$

$RS~=~\Large\boxed{6}$

$RT~=~\Large\boxed{17}$

Step-by-step explanation:

<u>Given information</u>

$RS=2x-8$

$ST=11$

$RT=x+10$

<u>Derived expression from the given information</u>

<em>Presumably, I think this is a combination of segments</em>

$RS+ST=RT$

<u>Substitute values into the given expression</u>

$(2x-8)+(11)=(x+10)$

<u>Combine like terms</u>

<em>The following is the expression</em>

$\Large\boxed{2x+3=x+10}$

<u>Subtract 3 on both sides</u>

$2x+3-3=x+10-3$

$2x=x+7$

<u>Subtract x on both sides</u>

$2x-x=x+7-x$

$\Large\boxed{x=7}$

<u>Substitute the x value into corresponding expressions to determine the final value</u>

$RS=2x-8=2(7)-8=14-8=\Large\boxed{6}$

$RT=x+10=(7)+10=\Large\boxed{17}$

Hope this helps!! :)

Please let me know if you have any questions

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1 year ago

A quantity p varies jointly with r and s. Which expression represents the constant of variation, k?

Zina [86]

The correct answer is p/rs.

In order to find this first state the direct variation with the constant k included.

p = krs

Now to find the value of k, we simply divide away the r and s

p/rs = k

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2 years ago

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3 years ago

Read 2 more answers

Solve the following equations.<br> log2(x^2 − 16) − log^2(x − 4) = 1

Alenkasestr [34]

Answer:

$x=\frac{4*(2+e)}{e-2}$

Step-by-step explanation:

Let's rewrite the left side keeping in mind the next propierties:

$log(\frac{1}{x} )=-log(x)$

$log(x*y)=log(x)+log(y)$

Therefore:

$log(2*(x^{2} -16))+log(\frac{1}{(x-4)^{2} })=1\\ log(\frac{2*(x^{2} -16)}{(x-4)^{2}})=1$

Now, cancel logarithms by taking exp of both sides:

$e^{log(\frac{2*(x^{2} -16)}{(x-4)^{2}})} =e^{1} \\\frac{2*(x^{2} -16)}{(x-4)^{2}}=e$

Multiply both sides by $(x-4)^{2}$ and using distributive propierty:

$2x^{2} -32=16e-8ex+ex^{2}$

Substract $16e-8ex+ex^{2}$ from both sides and factoring:

$-(x-4)*(-8-4e-2x+ex)=0$

Multiply both sides by -1:

$(x-4)*(-8-4e-2x+ex)=0$

Split into two equations:

$x-4=0\hspace{3}or\hspace{3}-8-4e-2x+ex=0$

Solving for $x-4=0$

Add 4 to both sides:

$x=4$

Solving for $-8-4e-2x+ex=0$

Collect in terms of x and add $4e+8$ to both sides:

$x(e-2)=4e+8$

Divide both sides by e-2:

$x=\frac{4*(2+e)}{e-2}$

The solutions are:

$x=4\hspace{3}or\hspace{3}x=\frac{4*(2+e)}{e-2}$

If we evaluate x=4 in the original equation:

$log(0)-log(0)=1$

This is an absurd because log (x) is undefined for $x\leq 0$

If we evaluate $x=\frac{4*(2+e)}{e-2}$ in the original equation:

$log(2*((\frac{4e+8}{e-2})^2-16))-log((\frac{4e+8}{e-2}-4)^2)=1$

Which is correct, therefore the solution is:

$x=\frac{4*(2+e)}{e-2}$

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3 years ago