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Rama09 [41]
3 years ago
13

Find the midpoint of the segment with the following endpoints. (10,6) and (3,1)

Mathematics
1 answer:
Oksana_A [137]3 years ago
8 0

Answer:

(6.5 , 3.5)

Step-by-step explanation:

Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\

               =(\frac{10+3}{2},\frac{6+1}{2})\\\\=(\frac{13}{2},\frac{7}{2})\\\\=(6.5,3.5)

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What is the answer to this solution. -7r−4≥ 4r+2
tia_tia [17]

Answer:

The solution is:

-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}

Please check the attached line graph below.

Step-by-step explanation:

Given the expression

-7r-4\ge \:4r+2

Add 4 to both sides

-7r-4+4\ge \:4r+2+4

Simplify

-7r\ge \:4r+6

Subtract 4r from both sides

-7r-4r\ge \:4r+6-4r

Simplify

-11r\ge \:6

Multiply both sides by -1 (reverses the inequality)

\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)

Simplify

11r\le \:-6

Divide both sides by 11

\frac{11r}{11}\le \frac{-6}{11}

Simplify

r\le \:-\frac{6}{11}

Therefore, the solution is:

-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}

Please check the attached line graph below.

7 0
3 years ago
HELP ME!!!!!!!!!!!!!!!!!!!plz HURRYYYYYY
grandymaker [24]

Answer:

i would say the answer is  (b) 40

Step-by-step explanation:

7 0
3 years ago
I did my khan academy assignments wrong and it’s due tomorrow and i’m stuck and freaking out, ive tried everything please help
cluponka [151]

the annnsweeeer is 14.24 degrees

7 0
3 years ago
Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp
tia_tia [17]

The domain and the range of a function are the set of input and output values, the function can take.

  • <em>The domain and the range of </em>g(x) = 9x^2 - 2<em> is </em>(-\infty, \infty)<em>.</em>
  • <em>The parent function </em>f(x) =x^2<em> is vertically compressed by 9, then shifted down by 5 units to get </em>g(x) = 9x^2 - 2<em />

<em />

Given

g(x) = 9x^2 - 2

<u>Domain and range</u>

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are (-\infty, \infty)

(-\infty, \infty) is in interval notation

The corresponding set notation is: - \infty < x < \infty

<u />

<u>The parent function</u>

We have:

f(x) = x^2

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

(x,y) \to (x,9y)

So, we have:

f'(x) = 9x^2

Next, the function is shifted down by 5 units.

So, we have:

g(x) = f'(x) - 5

g(x) = 9x^2 - 5

Read more about functions at:

brainly.com/question/21027387

4 0
2 years ago
The domain of both
Margarita [4]

Answer:

The domain of function h(x) is set of all real numbers.

Domain: (-∞,∞)

Step-by-step explanation:

Given:

f(x)=x-6

g(x)=x+6

the domain of both the above functions is all real number.

To find domain of :

h(x)=f(x)g(x)

Substituting functions f(x) and g(x) to find h(x)

h(x)=(x-6)(x+6)

The product can be written as difference of squares. [a^2-b^2=(a+b)(a-b)]

∴ h(x)=x^2-36

The degree of the function h(x) is 2 as the exponent of leading term x^2 is 2. Thus its a quadratic equation.

For any quadratic equation the domain is set of all real numbers.  

So Domain of h(x) is (-∞,∞)

7 0
3 years ago
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