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3 years ago

Which of the following algebraic expressions is not simplified?

Mathematics

1 answer:

AlladinOne [14]3 years ago

6 0

Answer:

Option D. a^2+6ab-2ba

Step-by-step explanation:

Option D because we have like terms: 6ab and -2ba=-2ab, then

a^2+6ab-2ba=a^2+6ab-2ab

Simplifying on the right side of the equation adding like terms:

a^2+6ab-2ba=a^2+4ab

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wind resistance varies jointly as an objects surface area and velocity. if an object traveling at 55 miles per hour with a surfa

nikdorinn [45]

Answer:

25 miles per hour

Step-by-step explanation:

Given

$W = Wind\ resistance$

$A = Surface\ Area$

$V = Velocity$

The joint variation can be represented as:

$W\ \alpha\ A*V$

Where:

$V = 55; A = 20; W = 220$

Required

Find V, when: $A = 55; W = 275$

We have:

$W\ \alpha\ A*V$

Express as an equation

$W= k *A*V$

Where k is the constant of variation

Make k the subject

$k = \frac{W}{A*V}$

When: $V = 55; A = 20; W = 220$

We have:

$k = \frac{220}{20 *55 }$

$k = \frac{220}{1100}$

$k = 0.2$

When: $A = 55; W = 275$

We have:

$k = \frac{W}{A*V}$

Substitute: $A = 55; W = 275$ and $k = 0.2$

$0.2 = \frac{275}{55 * V}$

Make V the subject

$V= \frac{275}{55 * 0.2}$

$V= \frac{275}{11}$

$V= 25$

3 0

3 years ago

The slope of the line below is 1.write the point-slope equation for the line using the coordinates of the labeled point.

Oliga [24]

Answer:

$y-4=(x-11)$ or $y=(x-11)+4$

Step-by-step explanation:

We know that the slope of the line is 1, so we can write it in terms of any two points belonging to the line, as per the difinition of slope:

$slope=\frac{y_1-y_0}{x_1-x_0} \\1=\frac{y_1-y_0}{x_1-x_0}$

We can use instead of $(x_1,y_1)$ any general point (x,y) on the line, and for $(x_0,y_0)$ the point we are interested in: (11,4)

That way the slope can be written as:

$1=\frac{y-4}{x-11}$

Next we can solve for y if this format is the one your instructor prefers:

$1=\frac{y-4}{x-11}\\1(x-11)=(y-4)\\(x-11)+4 =y$

5 0

3 years ago