1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melomori [17]
3 years ago
8

A rectangular banner has a length that is two feet shorter than twice its height, ℎ. If the expression ℎ(2ℎ−2) represents the ar

ea of the banner, what is the height of the banner whose area is 60
Mathematics
1 answer:
densk [106]3 years ago
3 0

Answer:

h = 6

Step-by-step explanation:

Given he area of the banner expressed as;

A =  ℎ(2ℎ−2)

h is the height of the banner

A is the area = 60

Substitute

60 =  ℎ(2ℎ−2)

60 = 2h² - 2h

30 = h² - h

h²-h-30 = 0

Factorize;

h²-6h+5h-30 = 0

h(h-6)+5(h-6) = 0

(h-6)(h+5) = 0

h - 6 = 0 and h+5 = 0

h = 6 and -5

Since the height cannot be negative;

h = 6

Hence he height of the banner is 6

You might be interested in
Simplify radical (1-cos0)(1+cos0)/ cos^2 0<br><br> HELP ME PLS!! ASAP
ycow [4]
That would be tan

(1-cos)(1+cos)=1-cos² which equals to sin²

√sin²/cos²= sin/cos which equals to tan

6 0
3 years ago
The coins in the store s cash register total $12.50. The cash register contains only nickels, dimes, and quarters. There are twi
Oduvanchick [21]
Nickels is 0,05 of dolar - n
dimes is 0,1 o dolar -d
quarters is 0,25 of dolar -q
dimes =2nickels
d=2n
quarters=2dimes
q=2d=4n
12,5=n(0,05)+2n(0,1)+4n(0,25)
12,5=0,05n+0,2n+n
12,5=1,25n
n=10
q=4n=40
There are 40 quarters
5 0
3 years ago
A glacier in Alaska moves about 29.9 meters a day. About how much farther will mobe in 1,000 days than it will move in 100 days
Reptile [31]

Answer:

26,910 meters

Step-by-step explanation:

The glacier moves 29.9 meters a day.

In 100 days it will move 29.9(100)=2990 meters.

In 1000 days it will move 29.9(1000)=29900 meters.

29,900-2,990=26,910 meters

7 0
3 years ago
Is y=2x+3 proportional
Nataly [62]

Answer:

no

Step-by-step explanation:

I calculated

7 0
3 years ago
Read 2 more answers
What is 39.4x1.7<br> pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Igoryamba

Answer:

66.98

Step-by-step explanation:

no

6 0
3 years ago
Read 2 more answers
Other questions:
  • Convert 23/3 (fraction) into a mixed number
    13·2 answers
  • 01.05 what is the slope intercept form equation of the line that's passing through (1,3) and (3,7)
    11·1 answer
  • Could someone please help? They don’t need to be solved I just need help with the translating.
    7·1 answer
  • The length of a rectangle is 3 more yrd than twice the width. The area is 869yrd^2
    8·1 answer
  • F(t)=2t−3<br> f(7)=____<br><br> I need some help im not sure what to do here
    9·1 answer
  • PLEASE HELP FOR BRAINLIEST ANSWER . IM VERY CONFUESED ON THIS PROBLEM
    11·1 answer
  • Binary go 01000100 01001111 00100000 01100001 01101110 01111001 00100000 01101111 01100110 00100000 01111001 01101111 01110101 0
    8·1 answer
  • Which point lies on both y = 5x – 3 and y=-4x+6?
    12·1 answer
  • If DF and GI are parallel lines and mGHE = 47°, what is mIHE?
    15·1 answer
  • A prism has a volume of 225 cubic meters.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!