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steposvetlana [31]
3 years ago
15

Which equation represents a line that is perpendicular to the line whose equation is -2y=3x+7

Mathematics
1 answer:
notsponge [240]3 years ago
8 0

Answer:

Any line with the slope of 2/3 would be perpendicular.

Step-by-step explanation:

To find this, first solve the equation for y.

-2y = 3x + 7

y = -3/2x - 7/2

Perpendicular lines always have opposite and reciprocal slopes. Therefore, we flip the slope in the original equation (-3/2 becomes -2/3) and then we change the sign (-2/3 becomes 2/3)

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1) -24, -4, 16, 36, ...<br> Find a23
viktelen [127]

We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .

We know that a term in an AP is generally represented as:

\bf a_n\ =\ a\ +\ (n\ -\ 1)d

where,

  • a = the first term in the sequence
  • n = the number of the term/number of terms
  • d = difference between two terms

We need to find \sf a_2_3.

From the given progression, we have:

  • a = -24
  • n = 23
  • d = (-24 - (-4) = -20

Using these in the formula,

\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464

Therefore, the 23rd term in the AP is -464.

Hope it helps. :)

7 0
2 years ago
Eddie built the ramp shown to train his puppy to do tricks.
PtichkaEL [24]

The surface area of the trapezoidal prism is: 4,190 in.².

<h3>What is the Surface Area of a Trapezoidal Prism?</h3>

Surface area = (b1+b2)h + PH, where:

  • Length of the base of the trapezoid (b1) = 20 in.
  • Length of the base of the trapezoid (b2) = 60 in.
  • Height of the trapezoid (h) = 15 in.
  • Perimeter of the trapezoid (P) = 60 + 25 + 20 25 = 130 in.
  • Height of the prism (H) = 23 in.

Plug in the values

Surface area = (b1+b2)h + PH = (20 + 60)15 + (130)(23)

Surface area = 4,190 in.²

Learn more about surface area of trapezoidal prism on:

brainly.com/question/2234926

#SPJ1

6 0
1 year ago
5(3x+9)- 2x=15x-2(x-5)
avanturin [10]

Answer:

There are no solutions.

Step-by-step explanation:

8 0
1 year ago
Read 2 more answers
At the grocery store a Sprite costs $0.85, a 6 pack of Sprite is $4.08, and a 12 pack of Sprite is $8.52. Which is the better bu
xxTIMURxx [149]

Answer:

it's better to buy the six pack

Step-by-step explanation:

4.08/6 is 0.68

8.52/12 is 0.71

making the 6 pack the better deal

3 0
3 years ago
Given f(x)=x^2-6x+8 and g(x) = x-2, solve f(x) = g(x) show your work
Darina [25.2K]
The answer will be (x-2)(x-4)=x-2. Hope it help!
6 0
3 years ago
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