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polet [3.4K]
3 years ago
10

A line has slope -3/4 and passes through the point (8,3). Write an equation of the line

Mathematics
2 answers:
Yanka [14]3 years ago
5 0
(11/7) ......... it think
In-s [12.5K]3 years ago
5 0
Slope-int form: y=mx+b
1. substitute the slope and x and y points in the equation. 3=-3/4(8)+b
2. simplify the equation. 3=-6+b
3. isolate the variable to solve for the y-intercept. b=9
4. substitute the slope and y-intercept to get the final equation. y=-3/4x+9
feel free to message me if there are any questions!
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Anyone know how to simplify a whole number into a mixed number or a improper fraction???
AlekseyPX

Answer:

Example any whole number over one would be an improper fraction, so 2=2/1, something like 5/3=1 2/3 would be a mixed number, subtract the numerator by the denominator, how ever many times you can subtract is the whole number and the amount remaining is the numerator, keep the same denominator,,, hope that makes sense

Step-by-step explanation:

3 0
3 years ago
if michell had 377.00 in the bank and she want to take 50percent out how much will she have in the bank
MakcuM [25]
You would divide 377 by 2

which would be 188.5
7 0
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Solve for XX. Assume XX is a 2×22×2 matrix and II denotes the 2×22×2 identity matrix. Do not use decimal numbers in your answer.
sveticcg [70]

The question is incomplete. The complete question is as follows:

Solve for X. Assume X is a 2x2 matrix and I denotes the 2x2 identity matrix. Do not use decimal numbers in your answer. If there are fractions, leave them unevaluated.

\left[\begin{array}{cc}2&8\\-6&-9\end{array}\right]· X·\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right] =<em>I</em>.

First, we have to identify the matrix <em>I. </em>As it was said, the matrix is the identiy matrix, which means

<em>I</em> = \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

So, \left[\begin{array}{cc}2&8\\-6&-9\end{array}\right]· X·\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right] =  \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

Isolating the X, we have

X·\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right]= \left[\begin{array}{cc}2&8\\-6&-9\end{array}\right] -  \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

Resolving:

X·\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right]= \left[\begin{array}{ccc}2-1&8-0\\-6-0&-9-1\end{array}\right]

X·\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right]=\left[\begin{array}{ccc}1&8\\-6&-10\end{array}\right]

Now, we have a problem similar to A.X=B. To solve it and because we don't divide matrices, we do X=A⁻¹·B. In this case,

X=\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right]⁻¹·\left[\begin{array}{ccc}1&8\\-6&-10\end{array}\right]

Now, a matrix with index -1 is called Inverse Matrix and is calculated as: A . A⁻¹ = I.

So,

\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right]·\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

9a - 3b = 1

7a - 6b = 0

9c - 3d = 0

7c - 6d = 1

Resolving these equations, we have a=\frac{2}{11}; b=\frac{7}{33}; c=\frac{-1}{11} and d=\frac{-3}{11}. Substituting:

X= \left[\begin{array}{ccc}\frac{2}{11} &\frac{-1}{11} \\\frac{7}{33}&\frac{-3}{11}  \end{array}\right]·\left[\begin{array}{ccc}1&8\\-6&-10\end{array}\right]

Multiplying the matrices, we have

X=\left[\begin{array}{ccc}\frac{8}{11} &\frac{26}{11} \\\frac{39}{11}&\frac{198}{11}  \end{array}\right]

6 0
3 years ago
Necesito encontrar expresiones equivalentes a los valores del 1 al 20 pliss
Mariulka [41]

Answer and Step-by-step explanation:

Si está buscando una expresión que sea igual a los números del 1 al 20, intente hacer una. Por ejemplo, 2y + 1x = 18 donde y = 9 - x / 2 y x = 18 - 2y. Siempre que la expresión sea igual a menos de 20, ¿no?

Lo siento, no entendí muy bien la pregunta, ¡pero espero que esto te haya ayudado! ¡Ten un día maravilloso! <3

**Tenga en cuenta que mi español no es el mejor, lo siento mucho, hablo principalmente inglés. Mi mal, con suerte, me puedes entender.**

4 0
3 years ago
Felicia invested $25,000 into an account earning 3% interest compounded annually. She makes no other deposits into the account a
madam [21]
The formula is
A=p (1+r)^t
A future value?
P present value 25000
R interest rate 0.03
T time 9 years

A=25,000×(1+0.03)^(9)
A=32,619.33
7 0
3 years ago
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