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3 years ago

Determine if 4,1 is a solution for the equation for the system of equations

Mathematics

1 answer:

vlabodo [156]3 years ago

7 0

Answer:

Step-by-step explane:

wrw

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DEFG is an isosceles trapezoid with bases FE and<br> GD. DE = 5x -2, and FG = 4x + 2. Find FG.

dalvyx [7]

Answer:

FG is 18 units

Step-by-step explanation:

if the trapezoid is isosceles then DE = GF so we can create this equation:

4x + 2 = 5x - 2

4x = 5x - 4

-x = -4

x = 4

FG = 4(4)+2 which is 18

4 0

3 years ago

A bag is filled with different color balls. Marla selects a ball at random, records the color, and then replaces the ball in the

frosja888 [35]

The frequency of Marla selecting an orange ball is 30%.
I did this by dividing 12 by 40, which gave me 0.3, which is 30%.

If I'm wrong do correct me.

5 0

3 years ago

Help plsss it’s 11:08 and due at 11:59

Rashid [163]

There you go! Hopefully this helps.

3 0

3 years ago

Read 2 more answers

Multiply radicals. Help with #52

timofeeve [1]

Answer:

$\large\boxed{\sqrt{xy^3}\cdot\sqrt[3]{x^2y}=\sqrt[6]{x^7y^{11}}}$

Step-by-step explanation:

$\text{Use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\\sqrt{xy^3}\cdot\sqrt[3]{x^2y}=(xy^3)^\frac{1}{2}(x^2y)^\frac{1}{3}\\\\\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=x^\frac{1}{2}y^{(3)\left(\frac{1}{2}\right)}x^{(2)\left(\frac{1}{3}\right)}y^\frac{1}{3}\\\\\text{use}\ a^na^m=a^{n+m}\\\\=x^{\frac{1}{2}+\frac{2}{3}}y^{\frac{3}{2}+\frac{1}{3}}\\\\\text{the common denominator is 6}$

$\dfrac{1}{2}=\dfrac{1\cdot3}{2\cdot3}=\dfrac{3}{6}\\\\\dfrac{2}{3}=\dfrac{2\cdot2}{3\cdot2}=\dfrac{4}{6}\\\\\dfrac{3}{2}=\dfrac{3\cdot3}{2\cdot3}=\dfrac{9}{6}\\\\\dfrac{1}{3}=\dfrac{1\cdot2}{3\cdot2}=\dfrac{2}{6}\\\\x^{\frac{1}{2}+\frac{2}{3}}y^{\frac{3}{2}+\frac{1}{2}}=x^{\frac{3}{6}+\frac{4}{6}}y^{\frac{9}{6}+\frac{2}{6}}=x^{\frac{7}{6}}y^{\frac{11}{6}}=\sqrt[6]{x^7y^{11}}$

5 0

4 years ago

A contractor isn't darling carpet in the new house direct angular living room has an area of 96 ft.² and the link is 12 feet les

ICE Princess25 [194]

Answer:

The dimensions of the room is 8 feet × 12 feet.

Step-by-step explanation:

The area of the house, A = 96 ft²

The link is 12 feet less than three times the width of the room .

Let the width of the room is x.

Length = 3x-12 ...(1)

The area of a rectangular room is given by :

A = lb

96 = (3x-12)x

$3x^2-12x-96=0\\\\x^2-4x-32=0\\\\x^2-8x+4x-32=0\\\\x(x-8)+4(x-8)\\\\(x+4)(x-8)=0\\\\x=-4,8$

Neglecting negative value, width = 8 feet

Put x = 8 in equation (1)

Length = 3(8) - 12

= 12 feet

Hence, the dimensions of the room is 8 feet × 12 feet.

5 0

3 years ago