What is the length of the indicated arc ?

Can someone help me solve the inequality-2x+4>8 with the steps? Thanks

stellarik [79]

$\huge\text{Hey there!}$

$\rm{-2x + 4 > 8}$

$\large\textsf{SUBTRACT 4 to BOTH SIDES}$

$\rm{-2x + 4 - 4 > 8 - 4}$

$\large\textsf{CANCEL puts 4 - 4 because that gives you 0}$

$\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}$

$\rm{8 - 4 = \boxed{\bf 4}}$

$\rm{NEW\ EQUATION: -2x > 4}$

$\large\textsf{DIVIDE -2 to BOTH SIDES}$

$\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}$

$\mathsf{CANCEL\ out: \dfrac{-2}{-2}\ because\ that\ gives\ you\ 1}$

$\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\ to \ the \ x-value }$

$\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}$

$\rm{\bold{x < -2 }}$

$\rm{It\ is \ an\ O PENED \ circle \ shaded \ to \ the \ left \ side \ of \ the \ number \ line}$

$\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

8 0

3 years ago

A number cube is rolled, and a coin is tossed. What is the probability that a four is rolled and the coins comes up tails?

KonstantinChe [14]

The answer is D 1/12.

3 0

3 years ago

PLZ HURRY ITS TIMEDDDDD

GaryK [48]

A. 1/5k - 2/3j and -2/3j + 1/5k

Step-by-step explanation:

Equivalent expressions are expressions that are the same even though they may appear different.When you plug in a value to represent a variable in these expression, they will give same answer when simplified.

In

1/5k - 2/3j and -2/3j + 1/5k you notice the operation signs in the terms has been maintained though the position of the terms shifted.

Learn More

Equivalent expressions :brainly.com/question/280220

Keywords: expressions, equivalent

#LearnwithBrainly

8 0

3 years ago

Read 2 more answers

The base of a solid in the xy-plane is a circle with a radius of 3. cross sections of the solid perpendicular to the x-axis are

sertanlavr [38]

Answer:

$\large \boxed{144}$

Step-by-step explanation:

1. Set up the integral.

The equation for the circle is

x² + y² = 9

The bottom corners of the square are at

$(x, \sqrt{9 - x^{2}})\text{ and } (x, -\sqrt{9 - x^{2}})$

The length (a) of a side is

$a = 2\sqrt{9 - x^{2}}$

and the area (A) of the square cross-section is

A = a² = 4(9 - x²)

The volume (V) of the solid is

$V = \displaystyle \int_{-3}^{3} {4(9 - x^{2})} dx$

2. Solve the integral

$\displaystyle \int_{-3}^{3} {4(9 - x^{2})} dx = 4\begin{bmatrix}9x - \frac{1}{3}x^{3}\end{bmatrix}_{-3}^{3}= 4[(27 - 9) - (-27 +9)] = 4[18 - (-18)]\\= 4[18 + 18] = 4 \times36 = \mathbf{144}\\\\\text{The volume of the solid is $\large \boxed{\mathbf{144}}$}$

4 0

3 years ago

A fair coin is flipped 14 times. Find the probability that more than 4 of the flips turn up tails.

Gnesinka [82]

Answer:

<h2>sdhsvdgfvdsgjvdsv dgfd shsdj dvgsahj fdvgshjfd dvgshjf dgshjd fdgshjdf dvgs</h2>

Step-by-step explanation:

<h2>dbugdfsgfdgyfghjsgd</h2>

7 0

3 years ago