All categories

3 years ago

Please help me its due tomorrow

Mathematics

1 answer:

Pavel [41]3 years ago

5 0

Answer:

a. 1 = ST; 20 = RS; 5 = x

b. 40 = ST; 20 = RS; 12 = x

c. 17 = RT; 6 = RS; 7 = x

d. 34 = RT; 15 = RS; 6 = x

Step-by-step explanation:

___

Since the exercise ONLY tells you that Point S is in between RT, use the Segment Addition Postulate for all exercises:

d. 8x - 14 = 19 + [4x - 9]

8x - 14 = 10 + 4x (Combine like-terms)

- 8x - 8x

___________________

-14 = 10 - 4x

-10 - 10

_____________

-24 = -4x

____ ____

-4 -4

6 = x [Plug this back into the equations above to get these measures: 34 = RT; 15 = RS]

c. x + 10 = 11 + [2x - 8]

x + 10 = 3 + 2x (Combine like-terms)

- 2x - 2x

________________

-x + 10 = 3

- 10 - 10

___________

-x = -7

__ __

-1 -1

x = 7 [Plug this back into the equations above to get these measures: 17 = RT; 6 = RS]

b. 60 = [4x - 8] + [3x - 16]

60 = 7x - 24 (Combine like-terms)

+ 24 + 24

______________

84 = 7x

___ ___

7 7

12 = x [Plug this back into the equations above to get these measures: 40 = ST; 20 = RS]

a. 21 = [x - 4] + [2x + 10]

21 = 3x + 6 (Combine like-terms)

- 6 - 6

______________

15 = 3x

___ ___

3 3

5 = x [Plug this back into the equations above to get these measures: 1 = ST; 20 = RS]

I am delighted to assist you anytime.

You might be interested in

G(x)= x^2+1 and g(2k)=101, then k= ?

vlabodo [156]

I hope this helps you

4 0

4 years ago

(9×10^−3)+(2.4×10^−5)÷0.0012= Also the answer has to be in scientific notation.

Dmitry_Shevchenko [17]

9×10^-3 + 24×10^-6 : 12×10-3

9×10^-3 + 2×10-3

11×10^-3

7 0

3 years ago

Hi. I need help with these questions. See image for question. Answer 14 and 13

irinina [24]

Answer:

13) 36x² + 9x - 4 = 0

14) 21x² + 20x + 100 = 0

Step-by-step explanation:

13.

<h3>Given</h3>

Quadratic equation

4x² - 3x - 4 = 0
With the roots of α and β

The quadratic equation with roots of 1/(3α) and 1/(3β)

<h3>Solution</h3>

The sum and the product of the roots of the given equation:

α + β = -b/a ⇒ α + β = -(-3)/4 = 3/4
αβ = c/a ⇒ αβ = -4/4 = - 1

New equation is:

(x - 1/(3α))(x - 1/(3β)) = 0
x² - (1/(3α) + 1/(3αβ))x + 1/(3α3β) = 0
x² - ((3α + 3 β)/(3α3β))x + 1/(3α3β) = 0
x² - ((α + β)/(3αβ))x + 1/(9αβ) = 0
x² - (3/4)/(3(-1))x + 1/(9(-1)) = 0
x² + 1/4x - 1/9 = 0
36x² + 9x - 4 = 0

===================

14.

<h3>Given</h3>

Quadratic equation

3x² +2x + 7 = 0
With the roots of α and β

The quadratic equation with roots of α + 1/β and β + 1/α

<h3>Solution</h3>

The sum and the product of the roots of the given equation:

α + β = -b/a ⇒ α + β = -2/3
αβ = c/a ⇒ αβ = 7/3

New equation is:

(x - (α + 1/β))(x - (β + 1/α)) = 0
x² - (α + 1/β + β + 1/α)x + (α + 1/β) (β + 1/α) = 0
x² - (α + β + (α + β)/αβ )x + αβ + 1/αβ + 2 = 0
x² - (-2/3 - (2/3)/(7/3))x + 7/3 + 1/(7/3) + 2 = 0
x² - (-2/3 - 2/7)x + 7/3 + 3/7 + 2 = 0
x² + (14 + 6)/21x + (49 + 9 + 42/21) = 0
x² + 20/21x + 100/21 = 0
21x² + 20x + 100 = 0

8 0

3 years ago

How is this equation properly graphed on the number line?

nika2105 [10]

Given the comopound inequality:

$x\le7\text{ and x > -1}$

Let's graph the compound inequality.

Here x is greater than -1 but less than or equal to 7.

To graph the inequality, we have:

[tex]-1Since x is greater than -1, plot an open dot on the point -1.

Also, x is less than or greater than 7, plot a closed dot on the point 7.

Then draw a straight line connecting both points.

Hence, we have the graph below:

8 0

2 years ago

A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 rep

bearhunter [10]

Answer:

the sea line

I am guessing

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers