Tx+12y=-3the equation above is the equation of a line in the xy-plane, and t is a constant. if the slope of the line is -10, what is the value of t?

Answers

Answer 1

Answer: in form
ax+by=c
slope=-a/b

a=T
b=12
slopt=-10
-10=-T/12
multiply both sides by 12
-120=-T
mulitply -1
120=t

T=120

Answer 2

Answer: First, you need to write this equation in the y = ax + b structure.
To do this, you need to isolate the y on one side.

The 'a' in the formula is your slope, so replace it with (-10), and solve the equation. You'll get the answer.

Hope this is helpful!

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Help please I need this done like right now

Answers

Answer:

$\left(\begin{array}{c}-24\n20\end{array}\right)$

Step-by-step explanation:

Given vectors:

$\textbf{a}=\left(\begin{array}{c}-9\n7\end{array}\right)\n\n\n \textbf{b}=\left(\begin{array}{c}12\n-20\end{array}\right)\n\n\n\textbf{c}=\left(\begin{array}{c}0\n-16\end{array}\right)$

$\textsf{To calculate}\;\;3\textbf{a}-(1)/(4)(\textbf{c}-\textbf{b}),\;\;\textsf{substitute the given vectors into the expression:}$

$3\left(\begin{array}{c}-9\n7\end{array}\right)-(1)/(4)\left(\begin{array}{ccc}0&-&12\n-16&-&(-20)\end{array}\right)$

When subtracting vectors, we subtract the elements in the same position from one vector from the elements in the same position of the other vector. Therefore, subtracting vector b from vector c gives:

$3\left(\begin{array}{c}-9\n7\end{array}\right)-(1)/(4)\left(\begin{array}{c}-12\n4\end{array}\right)$

When multiplying a vector by a constant, we multiply each component of the vector by that constant. Therefore, multiplying vector a by 3 gives:

$\left(\begin{array}{c}3\cdot(-9)\n3\cdot 7\end{array}\right)-(1)/(4)\left(\begin{array}{c}-12\n4\end{array}\right)$

$\left(\begin{array}{c}-27\n21\end{array}\right)-(1)/(4)\left(\begin{array}{c}-12\n4\end{array}\right)$

Multiply (c - b) by 1/4:

$\left(\begin{array}{c}-27\n21\end{array}\right)-\left(\begin{array}{c}-12\cdot (1)/(4)\n4\cdot (1)/(4)\end{array}\right)$

$\left(\begin{array}{c}-27\n21\end{array}\right)-\left(\begin{array}{c}-3\n1\end{array}\right)$

Finally, subtract the vectors:

$\left(\begin{array}{ccc}-27&-&(-3)\n21&-&1\end{array}\right)$

$\left(\begin{array}{c}-24\n20\end{array}\right)$

$\textsf{So,}\;\;3\textbf{a}-(1)/(4)(\textbf{c}-\textbf{b})\;\;\textsf{is equal to}\;\;\left(\begin{array}{c}-24\n20\end{array}\right).$

Mrs.Morales wrote a test with 15 questions covering spelling and vocabulary.spelling questions (x )are worth 5 points and vocabulary questions (y)are worth 10 points.the maximum number of points possible on the test is 100.

Answers

Here's our data:
15 questions total
Total number of points: 100
Spelling questions are worth 5 and represented by x
Vocab questions are worth 10 and represented by y
Therefore:
x+y=15
5x + 10y= 100

So:
x+y=15
x= 15-y

5x +10y =100
5(15 -y) +10y =100
75 -5y +10y =100
75 +5y = 100
5y=25
y=5

x +y=15
x+5=15
x=10
There are 10 spelling questions and 5 vocab questions

ALGEBRA HELP !!!!! Which of the following is the simplest form of this expression? —photo attached

Answers

$\displaystyle \frac{ \sqrt[5]{a^4}}{ \sqrt[3]{a^2}}= \frac{a^{(4)/(5)}}{a^{(2)/(3)}}=a^{(4)/(5)- (2)/(3)}=a^{(12-10)/(15)}=\boxed{a^{(2)/(15)}}$

Answer is: A. a^(2/15)

2x + 3y = 34x + 6y = 10
One Solution
Infinitely Many Solutions
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Answers

No solution because in the end it says -4 = 0 which is not true

What is the reading in kwh of the electric meter shown in the exam figure below?

Answers

Answer:

(C)=0631

Step-by-step explanation:

Kwh is the unit of measurement which is equal to the amount of the energy being used or the amount of energy you are using.

In order to get the readings of kwh of the electric meter, take the smallest reading when there are numbers from 0 to 9 and zero is always taken if the meter points between the number 9 and 0.

Hence, from the given meter, the first meter points between 0 and 1, thus reading will be 0 as 0 is the smallest of the two. Next, the reading is between 6 and 7, therefore the reading will be 6. similarly, the rest readings will be 3 and 1. Therefore, the correct reading will be: 0631

What is the reading in kwh of the electric meter shown in the exam figure below?

The answer is letter C. 0631. Always read the dial from left to right. If the dial is in between the numbers, choose the smaller number. If it is between 9 and 0, choose 9.

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