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3 years ago

Complete the solution of the equation.find the value of y when x equals 20. -2x + 4y=-4

Mathematics

2 answers:

STatiana [176]3 years ago

8 0

The answer is actually 9 ;)

hichkok12 [17]3 years ago

8 0

Answer:

y = 9

Step-by-step explanation:

-2(20) + 4y = -4

-40 + 4y = -4

4y = -4 + 40

4y = 36

4/4 = y

36/4 = 9

y = 9

Hope this helped! :)

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$\huge\mathfrak{\underline{Answer:}}$

❒ The length of longest side of first Trianlge :

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ $\large\bf{32\:cm}$

__________________________________________

$\large\bf{\underline{given:}}$

Two similar triangles
Perimeter of first Trianlge is 74 cm
Side length of second triangle are 4.5cm , 6cm and 8cm

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){$\bf A$}\put(0.5,-0.3){$\bf C$}\put(5.2,-0.3){$\bf B$}\end{picture}$

$\setlength{\unitlength}{0.75 cm}\begin{picture}(0,1)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){$\bf P$}\put(0.5,-0.3){$\bf R$}\put(5.2,-0.3){$\bf Q$}\end{picture}$

__________________________________________

$\large\bf{\underline{To \:find :}}$

The length of longest side of first Trianlge

__________________________________________

$\large\bf{\underline{Perimeter\:of\: second\: triangle:}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{=sum\:of\:all\:sides}$

‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{=4.5+6+8}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{=18.5}$

❒ The ratio between the perimeter of two triangles :

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{=\frac{perimeter\:of\:1st\: triangle}{perimeter\:of\:2nd\: triangle}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{=\frac{74}{18.5}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{=4:1}$

❒ The two triangles are similar , therefore the ratio of their sides will also be similar , i.e 4:1