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svetoff [14.1K]
3 years ago
14

3(2c+d)-4(c-d)+d squared when c=1 d=3 please explain steps

Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0

Answer:

3(2c+d)-4(c-d)+d^2.

6c+3d-(4c+4d)+d^2.

6×1+3×3-4×1+4×3+9.

6+9-4+12+9=32.

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y=3x-2

Step-by-step explanation:

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What is the measure of each exterior angle of a regular triangle
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A process of inserting points between actual plotted data points or extending an actual line of data is called:
german

The <em>correct answer</em> is:


interpolating


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4 0
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:

  1. 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 <em>intercept</em>. The <em>intercept </em>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.

See the attachment for a plot of the line.

7 0
3 years ago
Can someone help me please
zubka84 [21]
It’s too small zoom in some I will be glad to assist you
7 0
3 years ago
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