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Sergio039 [100]
3 years ago
9

Help me out please! Super please

Mathematics
1 answer:
garri49 [273]3 years ago
3 0

Answer:

The equation of the perpendicular line is;

y = -4x + 15

Step-by-step explanation:

Firstly, we get the slope of the former line

we do this by comparing its equation with;

y = mx + b

This is the standard form with m representing the slope

Thus;

for y = x/4 -2

y = x(1/4) -2

slope = 1/4

Since the other equation is perpendicular to this line, the product of theirs slopes will give -1

Mathematically;

m2 * 1/4 = -1

m2 = -4

So we want to write the equation of the line with slope -4 and passing the point (4,-1)

we have;

y-y1 = m(x-x1)

y + 1 = -4(x-4)

y = -4x + 16-1

y = -4x + 15

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Liam makes soap sculptures of sea turtles. Each sculpture weighs 3\8 pounds he ships them in a wooden box that weighs 2 pounds t
wlad13 [49]

Answer:

8 turtles

Step-by-step explanation:

Each of Liam's sea turtle sculpture weighs 3\8 pounds and he ships them in a wooden box that weighs 2 pounds.

The weight of the box filled with the sea turtles is 5 pounds.

This means that the weight of the sea turtles in the wooden box is:

5 - 2 = 3 pounds

To find the number of sea turtles in the box, we simply divide the total weight of the turtles in the box by the weight of each turtle. That is:

\frac{3}{\frac{3}{8} } = 8 turtles

There are 8 turtles in the box.

3 0
3 years ago
Which is the solution to the inequality 1/4+x<5/8
Masteriza [31]

Answer:

x<3/8

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Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

x+1/4<5/8

Step 2: Subtract 1/4 from both sides.

x +  1/4 - 1/4 < 5/8 - 1/4

x<3/8

7 0
3 years ago
What is the smallest solution to the equation 2/3 x^2=24
True [87]

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2=24

Multiply by 3/2 on each side

3/2 *2/3 x^2=24 *3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = ±sqrt(36)

x = ±6

x = -6, 6

The smallest solution is -6

7 0
3 years ago
How is algebra done?​
Helga [31]
Can you be more specific
3 0
3 years ago
PLZ Answer ASAP!!!
Sliva [168]

Answer:

D. x = 3

Step-by-step explanation:

The only way we could get a line of symmetry through this figure is to use a vertical line.  The only way to get symmetry would be to put the vertical line though the point x = 3.  When we do that, we can see that the end points of the base are both one unit away from the line of symmetry.  The end points I'm talking about are the points at the coordinates (2, 4), and (4, 4)

6 0
3 years ago
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