Simplify fully 36/120

Endpoint: (-4, 8), midpoint: (3,-4)<br><br> Find the other endpoint<br><br> Explain please

swat32

Answer: (10,-16)

Step-by-step explanation:

$A(-4,8)\ \ \ \ C(3,-4)\ \ \ \ \ B(x_B,y_B)=?\\$

See the graph below.

$\displaystyle\\\boxed {x_C=\frac{x_A+x_B}{2} }\\\\$

Multiply both parts of the equation by 2:

$2x_C=x_A+x_B\\2x_C-x_A=x_A+x_B-x_A\\2x_C-x_A=x_B$

Hence,

$x_B=2*3-(-4)\\x_B=6+4\\x_B=10$

$\displaystyle\\\boxed {y_C=\frac{y_A+y_B}{2} }$

Multiply both parts of the equation by 2:

$2y_C=y_A+y_B\\2y_C-y_A=y_A+y_B-y_A\\2y_C-y_A=y_B$

Hence,

$y_B=2*(-4)-8\\y_B=-8-8\\y_B=-16\\Thus,\ B(10,-16)$

4 0

2 years ago

What is the solution to the compound inequality 6x-5>-29

kupik [55]

Answer:

×>-4

Step-by-step explanation:

6x-5>-29

+5| +5

= | =

6x|-24

/ | /

6 | 6

= | =

×>-4

8 0

3 years ago

In a recent survey of monetary donations made by college graduates, the following information was obtained: 91 graduates had don

vodka [1.7K]

Answer: a) 11.26% and b) 50.23%

Step-by-step explanation:

Number of graduates donated to a political campaign n(A) = 91

Number of graduates donated to assist medical research n(B) = 76

Number of graduated to help preserve the environment n(C) = 131

Number of graduated donated to all n(A∩B∩C) = 27

Number of graduates donated to none = 24

Number of graduated donated to political campaign and to medical research n(A∩B) = 32

Number of graduates donated to medical research and to preserve the environment n(B∩C) = 48

Number of graduates donated to a political campaign and to preserve the environment n(C∩A) = 56

Now,

n(U)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C) -n(C∩A)+n(A∩B∩C)+n(none)

$n(U)=91+76+131-32-48-56+27+24=213$

So, What percent of the college graduates donated to none of the three listed causes?

Percentage would be

$\dfrac{24}{213}\times 100\\\\=11.26\%$

(b) What percent of the college graduates donated to exactly one of the three listed causes?

Exactly one = 91+76+131-2(32-56-48)+3(27)=107

Percentage would be

$\dfrac{107}{213}\times 100\\\\=50.23\%$

Hence, a) 11.26% and b) 50.23%

4 0

3 years ago

January 26 nyree company borrowed cash from Conrad Bank by issuing a 45 day note with a face value of $150,000. Assume a 360 day

Rom4ik [11]

Answer:

The proceeds of the note will be $150,000.

Step-by-step explanation:

To Determine:

Determine the proceeds of the note, assuming the note carries an interest rate of 10%.

Information Fetching and Solution Steps:

On January 26, Nyree company borrowed cash from Conrad Bank by issuing a 45 day note with a face value of $150,000.
Assume a 360-day year.

In the context of accounting, a note generally cites to a pledge - also know as agreement - to pay a certain given amount of money in the future at a mentioned date - also known as a promissory note.

The proceeds are $150,000. The reason for the logic is because proceeds equal to face value. So, note issued is at face value of $150,000. The issued note was not discounted.

Therefore, the proceeds of the note will be $150,000.

Keywords: promissory note, face value

Learn more about face value from brainly.com/question/14020416

#learnwithBrainly

4 0

3 years ago

Cos A=sqr rt 2/3 find the exact value of side a

Elodia [21]

Answer:

A =arccos(2 t $r^{2}$ q s/3)

Step-by-step explanation:

this the best answer i can give

3 0

3 years ago