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HACTEHA [7]
2 years ago
15

What is the equation of the line that is perpendicular to 3x -6y =2 and contains the point (-2,--5)​

Mathematics
1 answer:
julsineya [31]2 years ago
5 0

Answer:

y=-2x-12

Step-by-step explanation:

first, putt 3x-6y=2 in standard form:

subtract 3x from both sides: -6y=-3x+2

divide both sides by -6 to isolate y: y=1/2x-1/3

if the other line is perpendicular to this, you must find the slope by finding the opposite reciprocal of 1/2x: -2

now we have 2 points a slope, so we use the point-slope formula: y-y1=m(x-x1)

y+2=-2(x+5)

Use the distributive property: y+2=-2x-10

subtract 2 for both sides to isolate y: y=-2x-12

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5 0
3 years ago
The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight
SIZIF [17.4K]

800= about 1.76 lbs

700= about 1.54 lbs


(there are about 453.5 grams in a pound

4 0
3 years ago
Read 2 more answers
Round 10.95 to the nearest tenth
Serhud [2]

Hi there! To round 10.95 to the nearest tenth, we find the number in the tenth place, which is 9 and look one place to the right. Round up if the number is greater than 5 or equal to 5 and round down if its less than 5.

The answer is 11.0 or just 11.

<em>Ed: Explanation below.</em>

<em />

11.00

10.99

10.98

10.97

10.96

10.95 Look at the 9. Then look to the right. Do I round up or down?

10.94

10.93

10.92

10.91

10.90

If the number is greater or equal to 5, you round up. If the number is smaller than 5, you round down. 9 is greater than 5, so we round up.

Therefore, the answer is 11.

5 0
2 years ago
The figure à shown on ancient coin which was once used in china.the coin is in the shape of a circle of radius 3cm with a square
lianna [129]

Answer:

(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm

Step-by-step explanation:

(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²

The area of the square of x sides removed from its center is x².

The area A of the each face of the coin is thus A = 9π - x²

Since the area of each face of the coin A = 7π cm²,

then

7π = 9π - x²

9π - 7π - x² = 0

2π - x² = 0

(2) Solve the equation 2π - x² = 0

2π - x² = 0

x² = 2π

x = ±√(2π)

x = ± 2.51 cm

Since x cannot be negative, we take the positive answer.

So, x = 2.51 cm

≅ 2.5 cm

(3) Find the perimeter of the square

The perimeter of the square, p is given by p = 4x

p = 4 × 2.51 cm

= 10.04 cm

≅ 10 cm

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3 years ago
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