MATHEMATICS HIGH SCHOOL

Which hill described in the table is the steepest and why? Street. Horizontal distance vertical
(ft). Rise of
Street (ft)

Dixie hill. 100. 60
Bell hill. 100. 50
Liberty hill 100. 20

A. Dixie hill; it rises 5 feet for every 3 feet of horizontal travel.
B. Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.
C. Bell hill; it rises 2 feet for every 1 foot of horizontal travel.
D. Liberty hill; it rises 1 foot for every 5 feet of horizontal travel.

Answers

Answer 1

Answer:

Answer:

Option: B

Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.

Step-by-step explanation:

A slope with a greater absolute value indicates a steeper line.

so, we will find the slope of each of the hill to check the steepness of the road.

Dixie Hill

Street Horizontal distance vertical Distance

Dixie hill 100 60

The slope of the hill is:

Vertical distance/ Horizontal ditance

= 6/10=3/5

Street Horizontal distance vertical Distance

Bell hill 100 50

slope=1/2

Street Horizontal distance vertical Distance

Liberty hill 100 20

slope=1/5

As slope of Dixie Hill is greater than the rest two.

Hence, option: B is correct.

B. Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.

Answer 2

Answer: the answer is dixie hill A because 5 feet every 3 feet is pretty steep compared to 1 foot every 5 feet.

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A student is trying to solve the set of two equations given below:Equation A: x + z = 6
Equation B: 2x + 3z = 1

Which of the following is a possible step used in eliminating the z-term? (5 points)

Multiply equation B by 3.
Multiply equation A by 2.
Multiply equation B by 2.
Multiply equation A by –3.

Answers

Equation A : x + z = 6
Equation B : 2x + 3z = 1

Possible step used in eliminating in z-term.

Multiply equation A by -3.

-3(x +z) = -3(6)
-3x - 3z = -18

-3x - 3z = -18
2x + 3z = 1
-x = -17
÷ -1 ÷ -1
x = 17

Answer:

x=17 other answer expert verified (sniff, sniff) breaks out in tears

(bad joke)

If your annual salary is $68,900, how much would be your salary in 3 years?. Write anEquation and solve the problem

Answers

Answer:

206,700

Step-by-step explanation:

We know that the starting salary is $68,900. And we need to figure out the salary during a 3 years period. so we take the one year salary (68,900) and multiply that by 3, for the 3 years. (3 × 68,900) which equally 206,700 dollars.

What is the simplest from of this expression? -n(-2n^2-8)+(-n)(-5n^2+6)

Answers

3n^3 - 14n

Hope this helps!

Solve the following system using a matrix.

7a - b = -1
-4a - 2b = -2

Answers

Answer:

a = 0, b = 1

Step-by-step explanation:

Given system equation is,

7a - b = -1

-4a - 2b = -2

Since, the matrix form of this system of equation is,

$\begin{bmatrix} 7& -1\n -4 & -2\end{bmatrix}\begin{bmatrix}a\nb\end{bmatrix}=\begin{bmatrix}-1\n -2\end{bmatrix}$

Let,

$A=\begin{bmatrix} 7& -1\n -4 & -2\end{bmatrix}$

$X=\begin{bmatrix}a\n b\end{bmatrix}$

$B=\begin{bmatrix}-1\n -2\end{bmatrix}$

$\because AX = B\implies X = A^(-1)B$

$adj(A) = \begin{bmatrix} -2& 1\n4& 7\end{bmatrix}$

Also,

|A| = -18

$\implies A^(-1)=-(1)/(18)\begin{bmatrix} -2& 1\n4& 7\end{bmatrix}$

$\implies X = -(1)/(18)\begin{bmatrix} -2& 1\n4& 7\end{bmatrix}.\begin{bmatrix}-1\n -2\end{bmatrix}$

$X=-(1)/(18)\begin{bmatrix}2-2\n -4-14\end{bmatrix}$

$X=-(1)/(18)\begin{bmatrix}0\n -18\end{bmatrix}$

$X=\begin{bmatrix}0\n 1\end{bmatrix}$

$\implies \begin{bmatrix}a\n b\end{bmatrix}=\begin{bmatrix}0\n 1\end{bmatrix}$

By comparing,

a = 0, b = 1

1. a=-1+b/7 is the right answer. First you had to add by b from both sides of equation, and it gave us, $7a-b+b=-1+b$ . And then simplify, and it gave us, $7a=-1+b$ . Divide by 7 from both sides of equation, and it gave us, $(7a)/(7)=-(1)/(7)+ (b)/(7)$ . Finally simplify, and it gave us the answer is a=-1+b/7 is the right answer.

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2. a=-b-1/2 is the right answer. First you had to add by 2b from both sides of equation, and it gave us, $-4a-2b+2b=-2+2b$ . And then simplify, and it gave us, $-4a=-2+2b$ . Next you can also divide by -4 from both sides of equation, and it gave us, $(-4a)/(-4)=-(2)/(-4)+(2b)/(-4)$ . Finally simplify, and it gave us the answer is a=-b-1/2 is the right answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie

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Identify which table shows a direct variation.A.
Table 1 only

B.
Table 2 only

C.
both tables

D. neither table

Answers

the answer is A. Table 1 only the second table should be going by 9.6 but it isn't.

Morgan writes the expression 5(2 + 1) 2 + 3 on the board.

Mr. Dolezal says the first step is to evaluate 12. Explain Mr. Dolezal’s mistake. Then, evaluate the expression.

Answers

he didn’t follow PEMDAS which is the an acronym for the order of operations. according to pemdas the first step is parenthesis (which is the p in pemdas) there fore the first step is to add the 1 and the 2
then since there are no exponents you multiply so you multiple 5(3) which is 15
then you can add all the number left to right
so 15+2+3= 20
so the answer is 20
hope this helped
let me know if you have any questions

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