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3 years ago

What is the slope of (-3,5) and (2,0)

Mathematics

1 answer:

IrinaVladis [17]3 years ago

8 0

Answer:

is there anymore to the question?

Step-by-step explanation:

You might be interested in

An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 2 unit

Gala2k [10]

Answer:

475 transistors, 25 resistors and 50 computer chips can be produced.

Step-by-step explanation:

Let us consider, p = Number of transistors.

q = Number of resistors.

r = Number of computer chips.

The following three linear equations according to question,

$3\times p + 3\times q + 2\times r = 1600\\2\times p + 1\times q + 1\times r = 1025\\1\times p + 2\times q + 2\times r = 625$

The matrix form of any system, Ax = B

Where, A = Coefficient matrix

B = Constant vector

x = Variable vector

$A = \left[\begin{array}{ccc}3&3&2\\2&1&1\\1&2&2\end{array}\right], x = \left[\begin{array}{ccc}p\\q\\r\end{array}\right], B = \left[\begin{array}{ccc}1600\\1025\\625\end{array}\right]$

The inverse matrix, $A^{-1}$ can be found by using the following formula,

$A^{-1} = \frac{1}{det A}\times (C_{A}) ^{T}$

Where, det A = Determinant of matrix A.

$C_{A}$ = Matrix of cofactors of A

Now, applying this formula to find $A^{-1}$ ;

$det A = \left[\begin{array}{ccc}3&3&2\\2&1&1\\1&2&2\end{array}\right] = 3\times(2-2)-3\times(4-1)+2\times(4-1) = -3$

Here, $det A\neq 0$ , thus the matrix is invertible.

$C_{A} = \left[\begin{array}{ccc}(2-2)&-(4-1)&(4-1)\\-(6-4)&(6-2)&-(6-3)\\(3-2)&-(3-4)&(3-6)\end{array}\right] = \left[\begin{array}{ccc}0&-3&3\\-2&4&-3\\1&1&-3\end{array}\right] \\(C_{A}) ^{T} = \left[\begin{array}{ccc}0&-3&3\\-2&4&-3\\1&1&-3\end{array}\right] ^{T} = \left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right]$

$A^{-1} = \frac{1}{-3}\times\left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right] \\ So, x= \frac{1}{-3} \left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right]\times\left[\begin{array}{ccc}1600\\1025\\625\end{array}\right]= \frac{1}{-3} \left[\begin{array}{ccc}-1425\\-75\\-150\end{array}\right] = \left[\begin{array}{ccc}475\\25\\50\end{array}\right]$

So, p = 475, q = 25, r = 50.

7 0

3 years ago

The sum of two even consecutive numbers is thirty-four. What are the numbers?

vaieri [72.5K]

Answer:

Step-by-step explanation:

x + 2 + x + 4 = 34

2x + 6 = 34

2x = 28

x = 14

14 + 2 = 16

14 + 4 = 18

6 0

3 years ago

Find the value of x, such that the expression 1/4x + 4/3x - 5/6x + 1 equals 0

ANTONII [103]

Answer:

The value of x is $- \frac{4}{3}$

Step-by-step explanation:

☆Combine like terms and solve!

$\frac{1}{4} x + \frac{4}{3} x - \frac{5}{6} x + 1 = 0 \\ \\ \frac{3}{4} x + 1 = 0 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - 1 = - 1}{ \frac{ \frac{3}{4}x }{ \frac{3}{4} } = \frac{ - 1}{ \frac{3}{4} } } \\ \\ x = - \frac{4}{3}$

☆Happy to help!

6 0

3 years ago

If x and y vary directly, and x = 12 when<br> y = 4, what is the value of x when y = 1 ?

zvonat [6]

When y = 4, x = 12...that means x is 3 times bigger than y. So if y = 1, then x will now = 1 x 3 = 3

8 0

3 years ago

A raft in an amusement park ride comes out of a tuner and heads straight toward a waterfall at a speed of 44 feet per second. Th

Ilia_Sergeevich [38]

Answer:

d = 240 - 44t

Step-by-step explanation:

Distance of the raft to the waterfall

The raft is heading for the waterfall, therefore, the distance between the raft and the waterfall is diminishing.

Waterfall=240 ft from the tunnel

Speed of the raft =44 ft per second

Therefore the equation of a function rule that represent the distance of the raft to the waterfall is:

d = 240 - 44t

Where t=time in seconds

6 0

4 years ago