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3 years ago

Solve the Equation: 3x-4=10 what is x

Mathematics

1 answer:

shepuryov [24]3 years ago

3 0

Answer:

Step-by-step explanation:

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Help please! :) Its really late and cant process that much math, i did the others, but this first one confused me.

Vera_Pavlovna [14]

Use pythagorean theorem to find the bottom side of the left triangle.
12^2+b^2=15^2
144+b^2= 225
b^2= 81
b=9
you will then subtract 9 from 25 to get 16
area from the triangle on the right
A=(1/2)16*12
A= 96 in^2
then for the triangle on the right
A= (1/2)12*9
A= 54 in^2
then add the two areas together

Total Area= 150 in^2

4 0

3 years ago

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What is the slope of the line

sineoko [7]

Answer:

-3/1

Step-by-step explanation:

It's decreasing so it would be negative

7 0

3 years ago

Jalen bought 4 bottles of water, 2 bags of cashews, and a fruit salad. The cost of the fruit salad was $5.

Ede4ka [16]

Answer:2

Step-by-step explanation: 2x2=4 therefore 4 is double 2

7 0

4 years ago

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israel started to solve a radical equation in this way: square root of x plus 6 − 4 = x square root of x plus 6 − 4 4 = x 4 squa

agasfer [191]

Lets solve our radical equation $\sqrt{x+6}-4=x$ step by step.

Step 1 add 4 to both sides of the equation:

$\sqrt{x+6} -4+4=x +4$

$\sqrt{x} +6=x+4$

Step 2 square both sides of the equation:

$\sqrt{x+6} =x+4$

$\sqrt{x+6}^2 =(x+4)^2$

$x+6=(x+4)^2$

Step 3 expand the binomial in the right hand side:

$x+6=x^2+8x+16$

Step 4 simplify the expression:

$0=x^2+8x-x+16-6$

$x^2+7x+10=0$

Step 5 factor the expression:

$(x+2)(x+5)=0$

Step 6 solve for each factor:

$x+2=0$ or $x+5=0$

$x=-2$ or $x=-5$

Now we are going to check both solutions in the original equation to prove if they are valid:

For $x=-2$

$\sqrt{x+6}-4=x$

$\sqrt{-2+6}-4=-2$

$\sqrt{4}-4=-2$

$2-4=-2$

$-2=-2$

The solution $x=2$ is a valid solution of the rational equation $\sqrt{x+6}-4=x$ .

For $x=-5$

$\sqrt{x+6}-4=x$

$\sqrt{-5+6}-4=-5$

$\sqrt{1}-4=-5$

$1-4=-5$

$-3\neq -5$

Since -3 is not equal to -5, the solution $x=-5$ is not a valid solution of the rational equation $\sqrt{x+6}-4=x$ ; therefore, $x=-5$ is an extraneous solution of the equation.

We can conclude that even all the algebraic procedures of Israel are correct, he did not check for extraneous solutions.

An extraneous solution of an equation is the solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation. Is worth pointing out that extraneous solutions are particularly frequent in rational equation.

8 0

4 years ago

Which expression is equal to 45?<br>4 5<br>5 4<br>4 5<br>5 4

Hatshy [7]

Answer:

4 5

Step-by-step explanation:

4 5 = 45

5 0

3 years ago

Read 2 more answers