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Rina8888 [55]
3 years ago
10

Which of the following is the slope of line perpendicular to the y= -2/3x + 5? A.2/3 B.3/2 C.-2/3 D.-3/2

Mathematics
1 answer:
Fofino [41]3 years ago
8 0

Answer:

+3/2 (Answer B)

Step-by-step explanation:

If the slope of a given line is m, then the slope of any line perpendicular to this given line is the negative reciprocal of the slope of the latter:

     -1

------------ = +3/2 (Answer B)

   -2/3

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Anyone know how to do this? If so plz help
bekas [8.4K]

NOTES:

Use the equation y = mx + b where m is the unit rate and b is the one-time flat fee

1. Answer:

\begin {array}{c||c|c|c|c}x&0&1&2&3\\ y&70.00&70.20&70.40&70.60\\\end{array}

<u>Step-by-step explanation:</u>

coffee maker costs $70 - this is a one-time flat fee

it costs $0.20 per cup of coffee - this is the unit rate

y = 0.20x + 70

y = 0.20(0) + 70   →   y = 0.00 + 70   →   y = 70.00

y = 0.20(1) + 70   →   y = 0.20 + 70    →   y = 70.20

y = 0.20(2) + 70   →   y = 0.40 + 70   →   y = 70.40

y = 0.20(3) + 70   →   y = 0.60 + 70   →   y = 70.40

*******************************************************************************

2. Answer:

\begin {array}{c||c|c|c|c}x&1&2&3&4\\ y&4.50&6.00&7.50&9.00\\\end{array}

<u>Step-by-step explanation:</u>

shoes costs $3.00 - this is a one-time flat fee

it costs $1.50 per game of bowling - this is the unit rate

y = 1.50x + 3.00

y = 1.50(1) + 3.00  →    y = 1.50 + 3.00   →   y = 4.50

y = 1.50(2) + 3.00  →   y = 3.00 + 3.00   →   y = 6.00

y = 1.50(3) + 3.00  →   y = 4.50 + 3.00   →   y = 7.50

y = 1.50(4) + 3.00  →   y = 6.00 + 3.00   →   y = 9.00

*******************************************************************************

3. Answer: Negative

<u>Step-by-step explanation:</u>

As the x-values increase, the y-values decrease.  Opposite directions results in a negative slope.

*******************************************************************************

4. Answer: Gym A → y = 20x + 50    Gym B → y = 25x + 30

<u>Step-by-step explanation:</u>

Use the slope formula: m = \dfrac{y_2-y_1}{x_2-x_1}.  Then choose ONE of the points and input the point (x₁, y₁) and slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) and solve for y.

Gym A: (x₁, y₁) = (1, 70) and (x₂, y₂) = (2, 90)

m=\dfrac{90-70}{2-1} = \dfrac{20}{1} = 20

y - 70 = 20(x - 1)

y - 70 = 20x - 20

y        = 20x + 50

Gym B: (x₁, y₁) = (1, 55) and (x₂, y₂) = (2, 80)

m=\dfrac{80-55}{2-1} = \dfrac{25}{1} = 25

y - 55 = 25(x - 1)

y - 55 = 25x - 25

y        = 25x + 30


5 0
3 years ago
What expression is equivalent to 4(u+11)
qaws [65]

Answer:

4u+44

Step-by-step explanation:

The number 4 on the outside of the parentheses is being multiplied by everything within the parentheses, resulting in a product of 4u+44

3 0
3 years ago
Can anyone help me with this dont answer if you dont no what it is and no deleting answers
Mkey [24]
The answer to this question is the second choice, jessica bought 1/4 more than derek

6 0
2 years ago
The difference between number 20 and its opposite is what percentage of 200? (if you do not remember: opposite of 15 is −15; opp
True [87]
20%

This is because 20 and it's opposite -20 is 40. (20 - -20 = 40). Then 40 is 20% of 200. 
8 0
3 years ago
Read 2 more answers
Sistema de ecuaciones.5x+2y=-152x-2y=-6
Zolol [24]

Tnemos el sisema de ecuaciones:

\begin{gathered} 5x+2y=-15 \\ 2x-2y=-6 \end{gathered}

Podemos resolverlo por eliminación sumando ambas ecuaciones y eliminando y. Asi podemos resolver para x:

\begin{gathered} (5x+2y)+(2x-2y)=(-15)+(-6) \\ 7x+0y=-21 \\ x=-\frac{21}{7} \\ x=-3 \end{gathered}

Ahora podemos resolver para y con cualquiera de las dos ecuaciones:

\begin{gathered} 2x-2y=-6 \\ 2\cdot(-3)-2y=-6 \\ -6-2y=-6 \\ -2y=-6+6 \\ -2y=0 \\ y=0 \end{gathered}

Respuesta: x=-3, y=0

7 0
1 year ago
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