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Marizza181
13 days ago
10

Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y =

–8 and passes through the point (3, –2). Alejandro made his first error in which step?
Mathematics
2 answers:
babunello [8.4K]13 days ago
8 0

Answer:

step 2

Step-by-step explanation:

the response is located on edu2020

Svet_ta [9.5K]13 days ago
7 0
The equation of the perpendicular line can be identified by determining its slope and applying the given point within the standard formula.

Standard equation: y-y1 = m(x-x1)

m*m'=-1
where m' indicates the slope of the perpendicular line
m denotes the slope of the original line

m = -coefficient of x/coefficient of y = -4/-3 = 4/3
m' = -3/4

Substituting the point (3, -2):
y+2 = -3/4*(x-3)
4y+8 = -3x+9

Thus, the equation of the perpendicular line is: 3x+4y-1=0
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Central school is hosting a “central has talent” show. They will award various prizes for the best 3 acts in the show. First pla
Svet_ta [9500]

Since you didn't provide the expressions, let X denote the prize money for the first position. Consequently, the amount for the second position would be X - 50, since <span>each place below first receives $50 less than the previous place. The amount for third place would then be X - 100.

Thus, the total prize money can be calculated by summing these amounts: X + (X - 50) + (X - 100) = 3X - 150.</span>

8 0
23 days ago
Choose the solutions of the following systems of equations x^2+y^2=6 and x^2-y=6
AnnZ [9099]

Answer:

The solutions are (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

Step-by-step explanation:

We start with the equations:

{x}^{2} + {y}^{2} = 6

and

{x}^{2} - y = 6

Rearranging the second equation to make y the subject results in;

y = {x}^{2} - 6

Substituting into the first equation gives us:

{x}^{2} + ({x}^{2} - 6 )^2= 6

x = \pm \sqrt{6}

and x = \pm \sqrt{5}

The solutions remain as (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

7 0
29 days ago
Drainage tubing comes in large rolls. At your hardware store, you cut tubing to the lengths the customers want. You also provide
Leona [9271]

Answer: \frac{1}{36}\pi L

Step-by-step explanation:

The volume of a cylinder is calculated using the formula:

V=\pi r^2h

In which "r" represents the radius and "h" is the height.

Convert inches to feet. Given that 1\ ft=12\ in, the result is:

(2\ in)(\frac{1\ ft}{12\ in})=\frac{1}{6}\ ft

Therefore, you can determine:

r=\frac{1}{6}\\\\h=L

After substituting these values into the formula and simplifying, the result is:

V=\pi(\frac{1}{6})^2L\\\\V=\frac{1}{36}\pi L

Consequently, the equation representing the volume of L feet of drainage tubing, in cubic feet, is:

\frac{1}{36}\pi L

4 0
1 month ago
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Sari's claim is incorrect because dividing 120.78 by 9.9 equals approximately 12.2, and since 12 is less than 12.2, her estimate is not actually greater than the true result.
6 0
1 month ago
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If 25 dimes were moved from Box A to Box B, there would be an equal amount of dimes in both boxes. If 100 dimes were moved from
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First note the ratio is
7:2 so divide 7 by 2 to get 7/2 = 3.5. Then add 3.5 to 2, yielding the result 5.5
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11 days ago
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