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NeTakaya
3 years ago
7

Which are the like terms in 2y^3 – 4y^2 + y + y^3?

Mathematics
1 answer:
mash [69]3 years ago
7 0
Like terms are going to have the EXACT same variables....or they can just be constants with no variables.

x^2 and 3x^2 are like terms
x^2 and x^3 are not like terms
8 and 9 are like terms
8x and 9y are not like terms

so ur like terms in ur problem are : 2y^3 and y^3
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How many non-congruent triangles can you draw with the given properties? a. Sides measuring 7 inches, 8 inches, and 16 inches b.
Leno4ka [110]

Answer:

The answers are;

a. None

b. None

c. Infinite

d. None

e. None

Step-by-step explanation:

The number of non congruent triangles that can be drawn depends on the uniqueness of the triangle

The parameters of a unique triangle are;

Knowing the Side Side Side (SSS)

Knowing the Side Angle Side (SAS)

Knowing the Angle Side Angle (ASA)

Knowing the Angle Angle Side (AAS)

However, knowing only the Side Side Angle it is possible to draw two non-congruent triangles

Therefore, considering each of the triangles gives;

a. Sides 7 inches, 8 in., and 16 in. which is of the form SSS hence the triangle is well defined and it is not possible to draw two non-congruent triangle with the provided properties

b. Similarly, the given triangle parameters are 4 in., 4 in., and 6 in. which is of the form SSS hence the triangle is well defined and it is not possible to draw two non-congruent triangle with the provided information

c. The parameters of the triangle given here are angles 30°, 60°, and 90° which is of the form Angle Angle Angle, or AAA for which the sides can be scaled to form an infinite number of non-congruent triangles

d. The parameters given are three angles measuring 120° which does not form a triangle as the sum of triangles in a triangle = 180°

Hence the number of non-congruent triangles that can be drawn in this case = 0

e. The parameters given are two angles measuring 45° and one side length of 10 in., hence the parameter is of the forms AAS or ASA hence the triangle is unique and it is not possible to draw two non-congruent triangle with the provided properties.

6 0
3 years ago
Write the equation of the line that passes through points (-4, 5) and (0,13) in slope-intercept form.
LiRa [457]

Answer:

The answer is

y = 2x + 13

Step-by-step explanation:

Remember:

Slope-intercept form: \:  \\ y = mx + b \\  \\ m = slope \\ b = y - intercept

M =  \frac{y_2 - y_1}{x_2 - x_1}

First: Find the slope.

M =  \frac{13 - 5}{0 - ( - 4)} =  \frac{8}{4}   = 2

.

Second: Solve for the y-intercept

y = mx + b \\ 5 = 2( - 4) + b \\ 5 =  - 8 + b \\   \frac{+ 8 =  + 8 \:  \:  \:  \:  \:  \:  \:  \: }{13 = b}

.

Third: Plug in.

y = mx + b \\ y = 2x + 13

8 0
3 years ago
Please help me out here! :)
Sergio [31]

Answer:

it would take 23 hours

Step-by-step explanation:

6 0
3 years ago
The circulation of a newsletter decreased from 6000 to 3710. Find the percent of decrease in circulation to the nearest percent.
max2010maxim [7]
It would be approximately a decrease of 38%
6 0
3 years ago
Translate to an algebraic expression: 15 less than six times a number, y.
Natalija [7]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
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