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2 years ago

4x find the degree with steps

Mathematics

1 answer:

Alex787 [66]2 years ago

3 0

9514 1404 393

Answer:

Step-by-step explanation:

The term has 1 variable, which has no exponent shown. When the exponent is not shown, it is understood to be 1. The degree of the term is the exponent of this single variable, so the degree is 1.

_____

Additional comment

If the term is a product of more than one variable, the degree is the sum of their exponents.

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What is the opposite of real number

Dafna1 [17]

An imaginary number. The defining property of an imaginary number is that has the number i attached to it, where i² = -1.

A few examples of imaginary numbers: 3i, i, -7i, (√3)i, (1/2)i

7 0

3 years ago

Read 2 more answers

Farmer Brown is prepping his circular garden for the new spring/summer season of vegetables. The garden has to be larger than 25

d1i1m1o1n [39]

Answer:

The area is 78.5, the farmer does have enough space to plant his vegetables

Step-by-step explanation:

To find the area, you need to use the formula, A=πr², (make sure the diameter is turned into the radius by dividing by 2, in this case, it's 5 as the radius)

Plug in your numbers, A= 3.14(5)²

A= 3.14(25)

The area is 78.5

So the farmer does have enough space to plant his vegetables since 78.5 is greater than 25

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3 years ago

(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y

a_sh-v [17]

Answer:

The equation of the line is $y=45.25t+545$

Step-by-step explanation:

The general for of a line is:

$y=mt+n$ (1)

where:

$m$ is the slope of the line and $m$ is the intercept with the axis of the dependent variable, $y$ in this case.

In order to obtain the value of the slope ( $m$ ) we can use the corresponding slope formula:

$m=\frac{y_{2}-y_1 }{t_2-t_1}$ (2)

where $t_1, t_2, y_1$ and $y_2$ are the corresponding coordinates of the given points. In this case:

$t_1=0\\t_2=4\\y_1=545\\y_2=726\\$

Substituting these values in equation (2) we obtain:

$m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25$

Hence, the line equation is now:

$y=45.25t+n$ (3)

Now to obtain the value of $n$ you can follow two options:

You can substitute one of your points, $A$ or $B$ , in equation (3). In this way, you will obtain an equation where the variable is $n$

Note that for this question, it is easier to select point A because of having the independent variable equals to zero $t=0$ . Hence, substituting point A in equation (3):

$45.25*0+n=545\\n=545$

Therefore, the line equation is: $y=45.25t+545$

The second option to find $n$ is to think of the meaning of the intercept. The intercept of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that $n$ is equal to $545$ .