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3 years ago

Determine the equation of the line, written in slope-intercept form, that passes through the points (1,1) and (5,−1).

Mathematics

1 answer:

bazaltina [42]3 years ago

3 0

Answer:

y=-1/2x+3/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-1)/(5-1)

m=-2/4

m=-1/2

y-y1=m(x-x1)

y-1=-1/2(x-1)

y=-1/2x+1/2+1

y=-1/2x+1/2+2/2

y=-1/2x+3/2

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The quotient of a number and -4 is -9

natima [27]

Answer:36

Step-by-step explanation:36÷ -4 = -9

4 0

2 years ago

A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. Describe the possible lengths o

kipiarov [429]

Answer: 51.86 and 23.14

Step-by-step explanation:

The rectangular garden must have a perimeter of 150 feet

Perimeter of rectangular garden =

2l + 2w=150 -----------1

The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.

Area of rectangular garden =

l×w= 1200 feet^2 -----------2

From equation 2, l=1200/w

Put l=1200/w in equation 1

2× 1200/w + 2w = 150

(2400/w) +2w = 150

(2400+2w^2)/w =150

2400+2w^2= 150w

2w^2- 150w+2400=0

Using the general formula

w = [-b+-√(b^2-4ac)]/2a

a = 2, b =-150, c=2400

w =[--150+/-√(-150^2-4×2×2400)]/2×2

=[150+/-√(22500-19200)]/4

=[150+/-√3300)]/4

=(150+57.45)/4 or (150-57.45)/4

w= 207.45/4 or 92.55/4

w= 51.86 or w= 23.14

l = 1200/51.86 or l= 1200/23.14

l = 23.14. or l= 51.86

For an area of at least 1200ft^2

The dimensions are 51.86 and 23.14

4 0

3 years ago

if tom has 6 apple and he gave his mom 3 apple and and she made a apple pie how many apple are left.

ch4aika [34]

Answer:

depends, if he has 6 then he still has 6

if he gave her 3 of his six, then ate the pies, he has 3

Step-by-step explanation:

5 0

2 years ago

PLEASE HELP I WILL MARK YOU BRAINLIEST.

KatRina [158]

Answer: Heres your awnser hun

The 16 ounce bottle is the cheapest costing only .15 cents per ounces wile the 12 ounce bottle costs .16 cents and ounce.

Step-by-step explanation:

hope this helps

xoxo *mhwah*

6 0

2 years ago

Read 2 more answers

(THIS IS A TEST I NEED HELP)

Leya [2.2K]

Answer:

Option (B)

Step-by-step explanation:

Length of PR = 4

RS = 4

QS = 4

For the length of PT,

PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]

PT² = QS² + PR² [Since, RT ≅ QS]

PT² = 4² + 7²

PT² = 16 + 49

PT² = 65

Now for the length of PQ,

PQ² = QT² + PT²

PQ² = RS² + PT² [Since, QT ≅ RS]

PQ² = 4² + 65

PQ² = 16 + 65

PQ = √81

PQ = 9

Therefore, length of diagonal PQ is 9 units.

Option (B) will be the answer.

4 0

2 years ago