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3 years ago

9

Find the slope intercept form of the equation that passes through the given point and is parallel to the given line (-3,2) and y

=x-6

1 answer:

posledela3 years ago

8 0

Answer:

y = x + 5

Step-by-step explanation:

The equation of any two parallel lines differ by a constant.

That is, the equation of the line parallel to the line y = ax + b is y = ax + c.

The equation of the line is given to be: y = x - 6.

Therefore, the equation of the parallel line would be:

y = x + b

Since, the point (-3, 2) passes through the point, we can substitute in the equation to determine the value of 'b'.

Hence, 2 = - 3 + b

So. b = 5.

Therefore, the equation of the line becomes:

y = x + 5

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Arrange the entries of matrix A in increasing order of their cofactors values

givi [52]

To find the cofactor of

$A=\left[\begin{array}{ccc}7&5&3\\-7&4&-1\\-8&2&1\end{array}\right]$

We cross out the Row and columns of the respective entries and find the determinant of the remaining $2\times 2$ matrix with the alternating signs.

$Ac_{11}=\left|\begin{array}{ccc}4&-1\\2&1\end{array}\right|$

$Ac_{11}=4\times 1- -1\times 2$

$Ac_{11}=4+ 2$

$Ac_{11}=6$

$Ac_{12}=-\left|\begin{array}{ccc}-7&-1\\-8&1\end{array}\right|$

$Ac_{12}=-(-7\times 1- -1\times -8)$

$Ac_{12}=-(-7- 8)$

$Ac_{12}=15$

$Ac_{21}=-\left|\begin{array}{ccc}5&3\\2&1\end{array}\right|$

$Ac_{21}=-(5\times 1- 3\times 2)$

$Ac_{21}=-(5-6)$

$Ac_{21}=1$

$A_c{23}=-\left|\begin{array}{ccc}7&5\\-8&2\end{array}\right|$

$Ac_{23}=-(7\times 2 -8\times 5)$

$Ac_{23}=-(14-40)$

$Ac_{23}=26$

$A_c{31}=\left|\begin{array}{ccc}5&3\\4&-1\end{array}\right|$

$Ac_{31}=5\times -1 -4\times 3$

$Ac_{31}=-5-12$

$Ac_{31}=-17$

$A_c{33}=\left|\begin{array}{ccc}7&5\\-7&4\end{array}\right|$

$Ac_{33}=7\times 4- -7\times 5$

$Ac_{33}=28+35$

$Ac_{33}=63$

Therefore in increasing order, we have;

$Ac_{31}=-17,Ac_{21}=1,Ac_{11}=6,Ac_{23}=26,Ac_{12}=15, Ac_{33}=63$

7 0

2 years ago

Read 2 more answers

Simplify: 42 · (3 + 52)

wariber [46]

Answer:

2310

Step-by-step explanation:

4 0

3 years ago

I will give brainliest answer

adell [148]

Answer: A=351.68 cm²

Step-by-step explanation:

To find the area of the shaded region, we would subtract the area of the circle by the area of the inner circle.

Area of Circle

$A=\pi r^2$

$A=\pi (11)^2$

$A=121\pi$

Area of inner (white) circle

$A=\pi r^2$

$A=\pi (3)^2$

$A=9\pi$

Now that we have the area to the circle and inner circle, we would subtract to find the area of the shaded region.

$A=121\pi -9\pi$

$A=112\pi$

$A=351.68 cm^2$

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2 years ago

A $310 suit is marked down by 10%. Find the sales price.

Angelina_Jolie [31]

Answer:

The sale price is $279.

Step-by-step explanation:

$310-10%=$279

4 0

2 years ago

Bismuth-210 is an isotope that radioactively decays by about 13% each day, meaning 13% of the remaining Bismuth-210 transforms i

Luden [163]

Answer:

Approximately 76.5 mg.

Step-by-step explanation:

Given,

The initial quantity of the Bismuth-210, P = 233 mg,

Also, the rate of decay per day, r = 13 %

Thus, the quantity of the Bismuth-210 after 8 days would be,

$A=P(1-\frac{r}{100})^8$

$=233(1-\frac{13}{100})^8$

$=233(1-0.13)^8$

$=233(0.87)^8$

$=76.4733194697$

$\approx 76.5\text{ mg}$

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2 years ago