All categories

3 years ago

Can a triangle be formed with the side lengths of 8 cm, 4 cm, and 12 cm

Mathematics

2 answers:

mars1129 [50]3 years ago

8 0

Yes it can triangles can have all sides diffetent lengths

Paha777 [63]3 years ago

6 0

Yes the two smaller sides have to be equal to or smaller added up then the largest side

You might be interested in

Solve 3x + 7 > -x - 9

ss7ja [257]

The answer is: x > -4

I hope it’s helps you :)

6 0

3 years ago

A bag contains white marbles and blue marbles, 79 in total. the number of white marbles is 6 less than 4 times the number of blu

Annette [7]

Let x be the number of white marbles and y be the number of blue marbles.
So, $x+y=79$
Also, $x = 4y-6$ since "<span>the number of white marbles is 6 less than 4 times the number of blue marbles</span>"
We will solve the above system o two equation:
Using the value of x from the second equation in the first equation we get:
$(4y-6)+y=79\\5y=79+6\\5y=85\text{ then }y=\frac{85}{5}=17\\x=79-17=62$
Conclusion: there is 62 white marbles and 17 blue marbles.

7 0

4 years ago

Solve The Complex Number System<br><br><img src="https://tex.z-dn.net/?f=x%5E%7B3%7D-125%3D0" id="TexFormula1" title="x^{3}-125=

Ganezh [65]

$\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2)~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^3-125=0\implies x^3-5^3=0\implies (x-5)(x^2+5x+5^2)=0 \\\\[-0.35em] ~\dotfill\\\\ x-5=0\implies \boxed{x=5} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula}$

$\bf \stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{+25} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{-5\pm\sqrt{5^2-4(1)(25)}}{2(1)}\implies x=\cfrac{-5\pm\sqrt{25-100}}{2} \\\\\\ x=\cfrac{-5\pm\sqrt{-75}}{2}~~ \begin{cases} 75=&3\cdot 5\cdot 5\\ &3\cdot 5^2 \end{cases}\implies x=\cfrac{-5\pm\sqrt{-3\cdot 5^2}}{2}$

$\bf x=\cfrac{-5\pm 5\sqrt{-3}}{2}\implies x=\cfrac{-5\pm 5\sqrt{-1\cdot 3}}{2}\implies x=\cfrac{-5\pm 5\sqrt{-1}\cdot \sqrt{3}}{2} \\\\\\ x=\cfrac{-5\pm 5i\sqrt{3}}{2}\implies \boxed{x= \begin{cases} \frac{-5+ 5i\sqrt{3}}{2}\\\\ \frac{-5-5i\sqrt{3}}{2} \end{cases}}$

6 0

3 years ago

Bianca is making scarves to sell she has 33 pieces of blue 37 green and 41 red suppose she uses 3 pieces of fabric to make one s

Nat2105 [25]

What we're really trying to figure out is (33+37+41)/3

(33+37+41)=111

111/3=37

She can make 37 scarves

7 0

4 years ago

A line passes through point (-2, 5) and has a slope of 5/2.

Klio2033 [76]

Answer:

5x-2y=-20

Step-by-step explanation:

y-y1=m(x-x1)

y-5=5/2(x-(-2))

y-5=5/2(x+2)

y-5=5/2x+10/2

y-5=5/2x+5

y=5/2x+5+5

y=5/2x+10

y-5/2x=10

-5/2x+y=10

2(-5/2x+y)=2(10)

-10/2x+2y=20

-5x+2y=20

5x-2y=-20

4 0

3 years ago