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3 years ago

7

Solve 4k + 4 > k + 16.

2 answers:

iris [78.8K]3 years ago

8 0

Answer:

k>4

Step-by-step explanation:

torisob [31]3 years ago

5 0

The solution to linear equality is an interval denoted with $k\in I$ .

Lets start solving.

We have

$4k+k > k + 16$

Simplify the inequality

$4k > 16\Longrightarrow k > 4$

If $k > 4$ then $I=(4,\infty)$ or simply $k\in(4,\infty)$ .

Hope this helps.

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Select the following series as arithmetic, geometric, or neither. 1 + 2 + 3 + 4 + . . . + 10

Novosadov [1.4K]

The series is an arithmetic series.

The progression has a common difference of 1. You can tell because it involves a plus sign, which is indicative of an arithmetic progression,

A geometric progression would include multiplying the numbers by a certain amount. For example:
1, 3, 9, 27 ... 243
In this series, you multiply the numbers by three to get your answer.<span />

7 0

3 years ago

Anyone know how to do this?

lesya [120]

<u>To solve this, we need to use our trignometric functions</u>;

⇒ <em>look at the diagram attached</em>

<em />

<u>Let's examine what the problem wants</u>:

hypotenuse (<em>longest side)</em> of the triangle

<u>Let's examine what the problem gives us</u>:

side adjacent to the 45-degree angle
angle that has measure of 45-degrees

<u>Let's solve</u>:

$sin(45)=\frac{5}{x} \\5=x*sin(45)\\x = \frac{5}{sin(45)} \\x=7.07$

<u>Answer: 7.1</u> (<em>rounded to nearest tenth)</em>

<em />

Hope that helps!

6 0

2 years ago

Read 2 more answers

2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.

Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

$(x-h)^{2} +(y-k)^{2} =r^{2}$

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

$(x+1)^{2} +(y-2)^{2} =36$

the Center is: (-1,2)

and the radius is: $\sqrt{36}$ = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

$(x+1)^{2} +(y-2)^{2} =36$

$(x+1)^{2} +(2-2)^{2} =36$

$(x+1)^{2} +(0)^{2} =36$

$(x+1)^{2} =36$

$x+1 =±\sqrt{36}$

$x=6-1$ AND $x=-6-1$

$x=5$ AND $x=-7$

The points are A(5,2) and B(-7,2)

second sub x= -1 in the equation to find the values for y:

$(x+1)^{2} +(y-2)^{2} =36$

$(-1+1)^{2} +(y-2)^{2} =36$

$(0)^{2} +(y-2)^{2} =36$

$(y-2)^{2} =36$

$y-2=±\sqrt{36}$

$y=6+2$ AND $y=-6+2$

$y=8$ AND $y=-4$

The points are D(-1,8) and E(-1,-4)

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

8 0

3 years ago

What is the value of ¡97 - i?

Mrrafil [7]

Answer:

This is the answer

Step-by-step explanation:

3 0

3 years ago

11. Reason Identify each solution as rational or

melamori03 [73]

Answer:

a. Rational; b. rational

Step-by-step explanation:

A rational number is the quotient of two integers.

a. ⁴/₇ + ⁻¹/₃

$\begin{array}{rcl}\dfrac{4}{7} + \dfrac{-1}{3} & = & \dfrac{12}{21} + \dfrac{-7}{21} \\\\& = & \dfrac{5}{21}\\\end{array}$

The solution is rational.

b. √4 ⅖

$\begin{array}{rcl}\sqrt{4} \, \dfrac{2}{5} & = & 2 \, \dfrac{2}{5}\\\\& = & \dfrac{22}{5}\\\end{array}$

The solution is rational.

7 0

3 years ago