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Gnesinka [82]
3 years ago
9

The length of the base and the height of a triangle are numerically equal. Their sum is 6 less than the number of units in the a

rea of the triangle. Find the area of the triangle.
Mathematics
1 answer:
Troyanec [42]3 years ago
6 0
Base = Height, Let them be x.

( x \times x) \div 2 = (x + x) + 6 \\ x ^{2} \div 2 = 2x + 6 \\ \frac{1}{2} x^{2} - 2x - 6 = 0
Solve quadratic equation:
x=6, x=-2(rejected because base and height is positive)

6x6/2 =18
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Need help please !!!
irina1246 [14]

sin^2 x + 4 sinx +3       3 + sinx

--------------------------  =  -------------------

cos^2 x                        1 - sinx


factor the numerator


(sinx +3) (sinx+1)       3 + sinx

--------------------------  =  -------------------

cos^2 x                        1 - sinx


cos^2 = 1-sin^2x

(sinx +3) (sinx+1)       3 + sinx

--------------------------  =  -------------------

1- sin^2x                       1 - sinx

factor the denominator

(sinx +3) (sinx+1)       3 + sinx

--------------------------  =  -------------------

(1-sinx ) (1+sinx)                   1 - sinx

cancel the common term (1+sinx)  and (sinx +1)

(sinx +3)                       3 + sinx

--------------------------  =  -------------------

(1-sinx )                           1 - sinx


reorder the first term

3+sinx                           3 + sinx

--------------------------  =  -------------------

(1-sinx )                           1 - sinx

3 0
3 years ago
To make fruit punch for a party, we need 4 1⁄2 gallons of ginger ale, 1 gallon of strawberry juice, 2 3⁄4 gallons of frozen oran
IgorLugansk [536]
8 3/8 gallons ksjahwbjducysgw
7 0
3 years ago
Read 2 more answers
Find the global maximum and global minimum values (if they exist) of x 2 + y 2 in the region x + y = 1. If there is no global ma
Grace [21]

Given that x+y=1, we have y=1-x, so that

f(x,y)=x^2+y^2\iff g(x)=x^2+(1-x)^2

Take the derivative and find the critical points of g:

g'(x)=2x-2(1-x)=4x-2=0\implies x=\dfrac12

Take the second derivative and evaluate it at the critical point:

g''(x)=4>0

Since g'' is positive for all x, the critical point is a minimum.

At the critical point, we get the minimum value g\left(\frac12\right)=f\left(\frac12,\frac12\right)=\frac12.

5 0
3 years ago
Please help i will mark brainly!!
steposvetlana [31]
The answer is that it is positive
6 0
3 years ago
Read 2 more answers
What are the answers to these questions?
Vladimir79 [104]
12 ) 18
13) 54
14) 28/54 (8weeks x 7 days) = 1/2
       18/24 = 3/4
 therefore rates not equal
15) 0 and 0 ;1 and 4; 2 and 8;3 and 12
7 0
3 years ago
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