The perimeter of the triangular park is 16x-4. What is the missing length? (Simply the answer)

Mathematics

2 answers:

blagie [28]3 years ago

7 0

Answer:

9x - 5

Step-by-step explanation:

Let the missing length is a

We have:

a + (5x-3) + (2x+4) = 16x - 4

=> a = (16x - 4) - (5x-3) - (2x+4)

a = 16x - 4 - 5x + 3 - 2x - 4

a = (16x - 5x - 2x) - ( 4 - 3 + 4)

a = 9x - 5

aksik [14]3 years ago

4 0

Answer:

9x-5

Step-by-step explanation:

5x+2x=7x -3+4-1

7x+1

16x-7x=9x

4-3-5=-4

2x+5x+9x=16x

16x-4

If I got it right branliest would be nice!!

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Which is the approximate solution to the system y = 0.5x + 3.5 and y = − 2/3 x + 1/3 shown on the graph? (–2.7, 2.1) (–2.1, 2.7)

AlekseyPX

Answer:

The approximate solution to the system is $(-2.7, 2.1)$ .

Step-by-step explanation:

To solve the system of equations $\begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$ you must:

$\mathrm{Rationalize\:equations}\\\\\begin{bmatrix}y=\left(\frac{1}{2}\right)x+\left(\frac{7}{2}\right)\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$

$\mathrm{Subsititute\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\begin{bmatrix}-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\end{bmatrix}$

$\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7$

$\mathrm{For\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\mathrm{Subsititute\:}x=-\frac{19}{7}\\\\y=-\frac{2}{3}\left(-\frac{19}{7}\right)+\frac{1}{3}\\\\y=\frac{15}{7}\approx 2.1$