Ask question

Ask question

All categories

2 years ago

7

Point H is between points L and S. LS = 14x -21 LH = 15 HS = 8x What is the length of segment LS?Immersive Reader (5 Points)

1 answer:

Fofino [41]2 years ago

7 0

Answer:

$LS = 63$

Step-by-step explanation:

Given

$LS = 14x - 21$

$LH = 15$

$HS = 8x$

Required

Determine the length of LS

Since H is between L and S, then

$LS = LH + HS$

Substitute 14x - 21 for LS, 15 for LH and 8x for HS

$14x - 21 = 15 + 8x$

Collect Like Terms

$14x - 8x = 21 + 15$

$6x = 36$

Divide both sides by 6

$x = 6$

Substitute 6 for x in $LS = 14x - 21$

$LS = 14(6) - 21$

$LS = 84 - 21$

$LS = 63$

<em>Hence, the length of LS is 63 units</em>

You might be interested in

What is the value of x?<br><br> This is the last question I don’t get

Stels [109]

Answer:

The answer is 166

Step-by-step explanation:

x+90+24

4 0

2 years ago

Read 2 more answers

Which function is undefined for x = 0? y=3√x-2 y=√x-2 y=3√x+2 y=√x=2

Mkey [24]

For this case, we have to:

By definition, we know:

The domain of $f (x) = \sqrt [3] {x}$ is given by all real numbers.

Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. In the same way, its domain will be given by the real numbers, independently of the sign of the term inside the root. Thus, it will always be defined.

So, we have:

$y = \sqrt [3] {x-2}$ with $x = 0$ : $y = \sqrt [3] {- 2}$ is defined.

$y = \sqrt [3] {x+2}$ with $x = 0:\ y = \sqrt [3] {2}$ is also defined.

$f (x) = \sqrt {x}$ has a domain from 0 to ∞.

Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. For it to be defined, the term within the root must be positive.

Thus, we observe that:

$y = \sqrt {x-2}$ is not defined, the term inside the root is negative when $x = 0$ .

While $y = \sqrt {x+2}$ if it is defined for $x = 0$ .

Answer:

$y = \sqrt {x-2}$

Option b

6 0

3 years ago

the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age

Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = $\frac{x}{2}$

2 years more than half of April's age = $\frac{x}{2}+2$

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$$\Rightarrow \ \ x+(\frac{x}{2}+2) =23$

$$\Rightarrow \ \ x+\frac{x}{2}+2 =23$

$$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23$

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23$

$$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23$

Denominators are same, now add the fractions.

$$\Rightarrow \ \ \frac{2x+x+4}{2} =23$

Do cross multiplication.

$$\Rightarrow \ \ 2x+x+4=23\times2$

$$\Rightarrow \ \ 3x=46-4$

$$\Rightarrow \ \ 3x=42$

$$\Rightarrow \ \ x=14$

Aprils's age = 14 years

Laura's age = $\frac{14}{2}+2$

= 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0

3 years ago

Can someone please help me?

Vladimir79 [104]

Answer:

<h3> ( - 1 , - 1 )</h3>

Option D is the correct option.

Step-by-step explanation:

y = - 2x - 3 → Equation ( i )

y = 3x + 2 → Equation ( ii )

Using elimination method

y + 2x = - 3

y - 3x = 2

---------------------

5x = - 5

Divide both sides of the equation by 5

$\frac{5x}{5} = \frac{ - 5}{5}$

Calculate

$x = - 1$

Again, Putting the value of x in equation ( ii ) in order t get the value of y

$y = 3x + 2$

plug the value of x

$= 3 \times ( - 1) + 2$

Any expression multiplied by ( - 1 ) equals it's opposite

$= - 3 + 2$

Calculate

$= - 1$

Therefore, The possible solution of the system is the ordered pair ( x , y )

$(x \:, y \: ) = ( - 1 \:, - 1)$

-----------------------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

$- 1 = - 2 \times ( - 1) - 3$

$- 1 = 3 \times ( - 1) + 2$

Simplify the equation

$- 1 = - 1$

$- 1 = - 1$

Since all the equalities are true, the ordered pair is the solution of the system.

<h3>( x , y ) = ( - 1 , - 1 )</h3>

Hope this helps..

Best regards!!

7 0

2 years ago

a carpenter sands 1/2 of a dresser in 3/4 of an hour. At this rate, how long does it take the carpenter to sand 1 dresser

KengaRu [80]

Answer:

hour and a half

Step-by-step explanation:

7 0

2 years ago