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3 years ago

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Mathematics

1 answer:

avanturin [10]3 years ago

4 0

Answer:

The expressions that are equivalent are A, D, and E.

Step-by-step explanation:

Given:

-7z+ ( - 6.5) + 3.5z + 6y - 1.5.

On solving the equation:

$-7z+ ( - 6.5) + 3.5z + 6y - 1.5$

$-7z - 6.5+ 3.5z + 6y - 1.5$

$-7z + 3.5z + 6y - 1.5-6.5$

$-3.5z+6y-8$

So, on solving the equation we get the expression:

$-3.5z+6y-8$

According to question:

We see that expressions:

A. $-8+6y+(-3.5z)$

$=-8+6y-3.5z = 3.5z+6y-8$

So, this expression is equivalent.

D. $6y-8-3.5z$

$=3.5z+6y-8$

So, this expression is also equivalent.

E. $-3.5z+6y-8$

So, this expression is also equivalent.

Therefore, the expressions that are equivalent are A, D, and E.

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Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The

mestny [16]

Recall your d = rt, distance = rate * time

let's say we have two cars, A and B, B has a speed rate of "r", so A is the faster one and has a speed rate of " r + 10 "

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we know their distances added up, is 300miles, so if car B covered say, "d" distance on those 3hrs, car A covered the slack, " 300 - d "

$\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
\textit{car A}&300-d&r+10&3\\
\textit{car B}&d&r&3
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
300-d=(r+10)3\\
\boxed{d}=3r\\
----------\\
300-\boxed{3r}=3(r+10)
\end{cases}$

solve for "r"

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Find an equation of the plane. The plane through the points (0, 9, 9), (9, 0, 9), and (9, 9, 0) Incorrect: Your answer is incorr

Andrei [34K]

Answer:

The equation of the plane is represented by $\frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1$ .

Step-by-step explanation:

Algebraically speaking, a plane can be represented by following vectorial product:

$(a,b, c)\,\bullet\,(x,y,z) = 1$ (1)

Where:

$a$ , $b$ , $c$ - Plane coeffcients.

$x$ , $y$ , $z$ - Coordinates.

We need three distinct points to determine all coefficients. If we know that $(x_{1},y_{1},z_{1}) = (0,9,9)$ , $(x_{2},y_{2}, z_{2}) = (9,0,9)$ and $(x_{3},y_{3},z_{3}) = (9,9,0)$ , the system of equations to be solved is: