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3 years ago

Apply the distributive property to create an equivalent expression.

Mathematics

1 answer:

weqwewe [10]3 years ago

6 0

Step-by-step explanation:

$\text{The distributive property:}\ a(b+c)=ab+ac\\\\\dfrac{1}{2}(10x+20y+10z)=\dfrac{1}{2\!\!\!\!\diagup_1}\cdot10\!\!\!\!\!\diagup^5x+\dfrac{1}{2\!\!\!\!\diagup_1}\cdot20\!\!\!\!\!\diagup^{10}y+\dfrac{1}{2\!\!\!\!\diagup_1}\cdot10\!\!\!\!\!\diagup^5z\\\\=5x+10y+5z$

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Read 2 more answers

Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day. If Mr.Mason drinks 118 ounces

denis-greek [22]

The total weight of Mason is 177

Solution:

Given that, Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day

Mr.Mason drinks 118 ounces each day

Let "x" be the total weight of Mr.Mason

Therefore, we can say,

Two third of body weight = Amount of gatorade drank in ounces per day

Two third of x = 118

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4 years ago

What is the domain and range of f(x)=2x^2+6x+2

lbvjy [14]

As is the case for any polynomial, the domain of this one is (-infinity, +infinity).

To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,

The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.

Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).

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3 years ago

Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.

vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

$\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}$

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

$\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}$

So, it becomes,

$\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ$

Hence, the value of cos theta is -0.352.

8 0

3 years ago