miapackard
miapackard miapackard
  • 04-04-2017
  • Mathematics
contestada

The height of a triangle is 5 m less than its base. The area of the triangle is 42 m².

What is the length of the base?

Respuesta :

irspow
irspow irspow
  • 04-04-2017
A=bh/2, h=b-5 so

A=(b/2)(b-5)

A=(b^2-5b)/2  and A=42 so:

(b^2-5b)/2=42

b^2-5b=84

b^2-5b-84=0

b^2-12b+7b-84=0

b(b-12)+7(b-12)=0

(b+7)(b-12)=0 and since b>0

b=12m


Answer Link
burnettmorgan
burnettmorgan burnettmorgan
  • 01-04-2020

Answer:

B=12m

Step-by-step explanation:

Answer Link

Otras preguntas

Next four multiples of a unit fraction one half
The sum of three consecutive even numbers is 66. What is the smallest of these numbers
Which sentence contains an adverb clause? A. Dad will get some tape as soon as the stores open tomorrow. B. That was the book that Grandpa gave Billy in August.
a creek runs along a distance of 16,300 feet.About how many miles long is the creek
With which of these positions would President Calvin Coolidge have agreed?
Which sentence is correct? A. I turned off all the lights so the electric bill would be lower. B. I ride the bus so I can save gas money. C. The bus broke down,
Based on diction, which of the following phrases would most likely complete this sentence: Kyle stomped into Taco Bell and __________. A. sweetly requested the
PLZ HELP ME SOMEONE! Carol and Nora left the library at the same time. Carol biked east at a speed of 8 miles per hour. Nora biked west at a speed of 10 miles p
Which of the lines from the poem How do I love thee? (Sonnet 43) contains a change in intonation? A. I love thee freely, as men strive for Right; B. How do I lo
What is the normal oxygen concentration of a man?