2. Which of these describes a unique polygon?

Solve the system of equations.

Alenkasestr [34]

Step-by-step explanation:

Step 1: Substitute x from the second equation into the second one

$2x - 9y = 14$

$2(-6y + 7) - 9y = 14$

$(2 * -6y) + (2 * 7) - 9y = 14$

$-12y + 14 - 9y = 14$

$-21y +14 - 14 = 14 - 14$

$-21y/-21 = 0 / -21$

$y = 0$

Step 2: Substitute y into the second equation

$x = -6y + 7$

$x = -6(0) + 7$

$x = 0 + 7$

$x = 7$

Answer: $x = 7, y = 0$

4 0

4 years ago

Read 2 more answers

PLZ HEEEELP!!!!! 10 POINTS!!!!

katrin2010 [14]

Answer:

Step-by-step explanation:

Part a

We need two inequalities, one for time worked at each job and the other

for amounts of money earned.

time: Let b and c represent the time (number of hours) worked at babysitting and landscaping respectively. Then b + c ≤ 20 hrs/wk

earnings: Let ($3/hr)(b) represents the amount of money earned babysitting for b hour. Let ($7/hr)(c) represent the money earned working at landscaping. These amounts are per week. The appropriate inequality is ($3/hr)(b) + ($7/hr)(c) ≥ $84 per week. The other inequality is

b + c ≤ 20 hrs/wk.

Part b:

As before, b + c ≤ 20 hrs/wk. What happens if Chet spends all his 20 hours babysitting? To answer this, set c = 0 (no landscaping hours). Then b ≤ 20 hours. At $3/hr, he could earn only $60 and have no time left for landscaping. Not good.

Let's experiment: suppose he works 15 hours babysitting and 5 hours landscaping. His earnings would be $45 + $35, or $80. Still not enough; he wants to earn $84 total. Let's redistribute his time and try again: suppose he works 14 hours babysitting and 6 hours landscaping; his earnings would be $42 + $42, or $84. So {b = 14 hours and c + 6 hours} is a solution. As we continue to reduce the number of hours Chet works babysitting and correspondingly increase those he works landscaping, his earnings will go up, beyond $84.

Here's a table that summarizes this:

babysitting landscaping total amount

hours hours earned

15 5 $60 (not acceptable)

14 6 $84 (borderline acceptable)

12 8 $36 + $42 = $78 (great)

6 14 $116 (greater still)

2 18 $132

1 19 $134

0 20 $140

Summary: Chet can work anywhere from 0 to 14 hours babysitting and expect to earn $84 or more.

4 0

3 years ago

Sonya planted a flower garden of tulips, daisies and lilies. She planted 2 times as many tulips as daises and 3 tomes as many da

RideAnS [48]

70 flowers were planted in all.

Step-by-step explanation:

Let,

Tulips = t

Daises = d

Lilies = l

Total tulips planted = 42

She planted 2 times as many tulips as daises.

t=2d

Putting t=42

$42=2d\\2d=42$

Dividing both sides by 2

$\frac{2d}{2}=\frac{42}{2}\\d=21$

And 3 times as many daisies as lilies.

d=3l

Putting d=21

$21=3l\\3l=21$

Dividing both sides by 3

$\frac{3l}{3}=\frac{21}{3}\\l=7$

Total flowers planted = Tulips + Daisies + Lilies

Total flowers planted = 42 + 21 + 7 = 70

70 flowers were planted in all.

Keywords: division, addition

Learn more about addition at:

#LearnwithBrainly

3 0

3 years ago

Help!! I believe I need to find the L and W of browns rectangle to make macdonalds equation but I’m stuck there and need to answ

34kurt

Answer:

W man's W life W parents W pet W grand parents

8 0

3 years ago

The screen on briannas new phone is 2.85 centimeters long. what mixed number represents the length of the phone screen?

Mekhanik [1.2K]

We know that
the number $2.85$ is equal to

$2.85=2+0.85$

$0.85$ is equal to

$\frac{85}{100}$
divide by 5 both members

$\frac{85}{100} = \frac{17}{20}$

so
$2.85=2 \frac{17}{20}$

the answer is
$2 \frac{17}{20}$

8 0

3 years ago

Read 2 more answers