All categories

3 years ago

Please need help!!! Find the x

Mathematics

1 answer:

Tomtit [17]3 years ago

6 0

Answer:

5.7 units

Step-by-step explanation:

By geometric mean property:

$x = \sqrt{4 \times 8} \\ \\ x = \sqrt{32} \\ \\ x = 5.65685425 \\ \\ x \approx \: 5.7 \: units$

You might be interested in

In a class the ratio of boys to girls is 4:3 30% of the boys are left handed.

alex41 [277]

3/10 or 30/100 are left handed boys bc that is 30% converted into a fraction

6 0

3 years ago

Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely

larisa [96]

$\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}$

$\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1) +2x(2x+1) + (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2$

3 0

2 years ago

sandra bought 120 square feet of carpet for her room in her house. if the room is a square, what is the side length of each side

fenix001 [56]

√120 ≈ 10.95
and 10.95²≈ 120
therefore each side of this square room is about 10.95 feet.

8 0

3 years ago

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.

faust18 [17]

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

6 0

3 years ago

What is the slope of a line that is perpendicular to the line shown? (3,3) and (-3,-1)

4vir4ik [10]

Answer:

-3/2

Step-by-step explanation:

Using the slope formula, we can find the slope of the line shown

m = ( y2-y1)/(x2-x1)

= ( -1-3)/(-3-3)

= -4/-6

= 2/3

A line that is perpendicular is the negative reciprocal

-1/ (2/3) = -3/2

8 0

3 years ago

Read 2 more answers