Ask question

Ask question

All categories

3 years ago

11

Solve the following equation. Then place the correct number in the box.

1 answer:

KiRa [710]3 years ago

6 0

X=21
let me know if you need to know how to solve it.

You might be interested in

Christopher is analyzing a circle, y^2 + x^2 = 121, and a linear function g(x). Will they intersect?

Sav [38]

Circle: x^2+y^2=121=11^2 => circle with radius 11 and centred on origin.
g(x)=-2x+12 (from given table, find slope and y-intercept)
We can see from the graphics that g(x) will be almost tangent to the circle at (0,11), and that both intersection points will be at x>=11.
To show that this is the case,
substitute g(x) into the circle
x^2+(-2x+12)^2=121
x^2+4x^2-2*2*12x+144-121=0
5x^2-48x+23=0
Solve using the quadratic formula,
x=(48 &pm; √ (48^2-4*5*23) )/10
=0.5058 or 9.0942
So both solutions are real and both have positive x-values.

7 0

3 years ago

Choose the correct simplification of the expression (-9a^3b^2c^10)^0

Flauer [41]

Option C: 1 is the simplification of the expression $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$

Explanation:

The given expression is $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$

We need to simplify the given expression.

<u>Simplification:</u>

To simplify the given expression, let us apply the exponent rule, $a^{0}=1$ where $a \neq 0$

Thus, the the exponent rule $a^{0}=1$ means that any value (except zero) to the power of zero is equal to one.

Thus, the expression $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$ becomes,

$\left(-9 a^{3} b^{2} c^{10}\right)^{0}=1$

Therefore, the simplified expression is 1

Hence, Option C is the correct answer.

8 0

3 years ago

Expression of "three fifths of a number b subtracted from thrice the same number" into mathematical symbol

liubo4ka [24]

Answer:

3b - $\frac{3}{5}$ b

Step-by-step explanation:

Let the number be "b"

So the expression would be:

3b - $\frac{3}{5}$ b

6 0

3 years ago

What is 2/(40)+16 to the 17 power

Anna007 [38]

311,225,823,387,830,850,069

Oof

3 0

3 years ago

Read 2 more answers

What is the solution to 2(-4x+1)=2/3(x+2)

Rzqust [24]

Hello!

The answer to your problem is: $x=1/13$

<u>Simplify both sides of the equation</u>

$(2)(-4x)+(2)(1)=(2/3)(x)+(2/3)(2)$ $(Distribute)$

$-8x+2=2/3x+4/3$

<u>Subtract 2/3x from both sides</u>

$-8x+2-2/3x=2/3+4/3-2/3x$

$-26x+2=4/3$

<u>Subtract 2 from both sides</u>

$-26/3x+2-2=4/3-2$

$-26/3=-2/3$

<u>Multiply both sides by 3/(-26)</u>

$(3/26)*(-26/3x)=(3/-26)*(-2/3)$

<u>Get your answer</u>

$x=1/13$

Hope This Helps!

8 0

3 years ago