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antiseptic1488 [7]
3 years ago
7

the width of a rectangle is the length minus 2 units. The area of the rectangle is48 units. What is the width, in units, of the

rectangle?
Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

6

Step-by-step explanation:

put unknown as y

area of rectangle = width × long

y(y - 2)=48

y² -2y =48

u can use scientific calculator to find this

y²-2y-48=0

(y-8)(y+6)=0

y=8 y=-6

take the positive value and ignore the negative value

width=y-2 long=8

8-2=6

I hope this help you :)

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Jon recently drove to visit his parents who live 270 270 miles away. On his way there his average speed was 24 24 miles per hour
Ber [7]

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

3 0
3 years ago
Choose the slope-intecept form of the equation of the line through the given points.
DerKrebs [107]

Answer:

B

Step-by-step explanation:

6 0
2 years ago
Donna is planning to take a trip to Spain that will cost $2,927. She has already saved $1,852. To earn the rest of the money, Do
docker41 [41]

Answer:

the answer would be the one with 25x+1,852=2,972

Step-by-step explanation:

please mark brainliest

5 0
3 years ago
Read 2 more answers
I need help with math
Bogdan [553]

A. ∠4 is congruent to ∠5; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

D. ∠2 and ∠3; True.

<h3>What are the properties of angles of parallel lines?</h3>
  • On a common plane, two parallel lines do not intersect.
  • As a result, the characteristics of parallel lines with respect to transversals are given below.
  1. Angles that correspond are equal.
  2. Vertical angles are equal to vertically opposite angles.
  3. Interior angles that alternate are equal.
  4. The exterior angles that alternate are equal.

For the give question;

Two line are cut by the transversal.

∠1 =  90.5° and ∠7  =  89.5°

Thus the result for the given statement are-

A. ∠4 is congruent to ∠5 because they are alternate interior angles; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

∠6 = ∠7 =  89.5°.(correct)

D. ∠2 and ∠3 are supplementary because they are same-side exterior Angeles; True.

Thus, the result for the given statement are found.

To know more about the parallel lines, here

brainly.com/question/4954460

#SPJ1

3 0
1 year ago
The perimeter of a rectangle is 36 cm. The length is 10 cm longer than the
Nesterboy [21]

Answer:

Below

Step-by-step explanation:

X(x+10)=36

x= -5+sqrt 61 or-5-sqrt 61

since only the first one bigger than0, x is -5+sqrt61 and other side is sqrt61+5

3 0
3 years ago
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