The height of the triangle is 1 m greater than three times its base. the area of the triangle is 40m^2, what is the base of the triangle?

base = 5 m

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = bh ( b is the base and h the height )

here h = 3b + 1 ( 1 m greater than 3 times the base ), hence

A = b(3b + 1) = 40

Multiply both sides by 2

b(3b + 1) = 80 ← distribute and rearrange

3b² + b - 80 = 0 ← in standard form

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term

product = 3 × - 80 = - 240 and sum = 1

The factors are - 15 and + 16

Use these factors to split the b- term

3b² - 15b + 16b - 80 = 0 ( factor the first/second and third/fourth terms )

3b(b - 5) + 16(b - 5) = 0 ← factor out (b - 5)

(b - 5)(3b + 16) = 0

Equate each factor to zero and solve for b

b - 5 = 0 ⇒ b = 5

3b + 16 = 0 ⇒ b = -

However, b > 0 ⇒ b = 5

The base of the triangle is 5 m

hi,

i'm 75% sure the answer is 1,1 to both lines.

have a great day

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.