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2 years ago

Slope of a line perpendicular to the line whose equation is 3x-3y=-63

Mathematics

1 answer:

ivanzaharov [21]2 years ago

3 0

Answer:

slope perpendicular= -1

Step-by-step explanation:

3x-3y=-63

-3y=-3x-63 divide both sides by -3

y=1x+21

Perpendicular lines have slopes that are the opposite of the reciprocal of each other

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What is an equation of a circle whose center is at (2,-4) and is

Evgesh-ka [11]

The equation of the circle with center at (2,-4) and tangent to the line x = -2 is given by:

(2) (x - 2)² + (y + 4)² = 16

<h3>What is the equation of a circle?</h3>

The equation of a circle of center $(x_0, y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

The circle has center at (2,-4), hence $x_0 = 2, y_0 = -4$ .

The center is tangent to the line x = -2, hence it has a point at x = -2, since |-2 - 2| = 4, r = 4 -> r² = 16.

Hence the equation of the circle is given by:

(2) (x - 2)² + (y + 4)² = 16

More can be learned about the equation of a circle at brainly.com/question/24307696

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6 0

1 year ago

¿Cuál es el resultado de la siguiente operación? -4 +6 -5 +2 help

Gala2k [10]

Answer:

-1

Step-by-step explanation:

$(-4 +6)( -5 +2 )\\ - 4 + 6 = 2 \\ - 5 +2 = - 3 \\ 2 - 3 = - 1$

7 0

1 year ago

Read 2 more answers

Find sin 22 1/2 ° please help

Georgia [21]

Answer:

0.69465837 is the answer

7 0

2 years ago

Find the average velocity of the function over the given interval.

snow_lady [41]

Answer:

Average velocity of the function over the given interval

= $log(\frac{7}{4} ) -2$

Step-by-step explanation:

Explanation:-

Given function y = 3/x -2 ...(i)

The average velocity of the function over the given interval

Average velocity = $\frac{1}{b-a} \int\limits^b_a {(\frac{3}{x} -2)} \, dx$

= $\frac{1}{7-4} \int\limits^7_4 {(\frac{3}{x} -2)} \, dx$

now integrating

= $\frac{1}{3}( \int\limits^7_4 {(\frac{3}{x} )} \, dx-2\int\limits^7_4 {1} \, dx )$

= $\frac{1}{3} (3 (log x) - 2 x )_{4} ^{7}$

= $\frac{1}{3}( (3 (log 7) - 14 )-(3 log 4 -8))$

by using formulas

log a-log b = log(a/b)

on simplification , we get

= $\frac{1}{3}( (3 (log 7) -3 log 4 ) - \frac{1}{3} (6)$

= $log(\frac{7}{4} ) -2$

Average velocity of the function over the given interval

= $log(\frac{7}{4} ) -2$

6 0

2 years ago

The greatest factor that two or more numbers have in common is the

trapecia [35]

Answer:

"greatest common factor" (GCF) or "greatest common divisor" (GCD)

Step-by-step explanation:

Apparently, you're looking for the term that has the given definition. It is called the GCF or GCD, the "greatest common factor" or the "greatest common divisor."

_____

The GCF or GCD can be found a couple of ways. One way is to find the prime factors of the numbers involved, then identify the lowest power of each of the unique prime factors that are common to all numbers. The product of those numbers is the GCF.

Example:

GCF(6, 9)

can be found from the prime factors:

6 = 2·3
9 = 3²

The unique factors are 2 and 3. Only the factor 3 is common to both numbers, and its lowest power is 1. Thus ...

GCF(6, 9) = 3¹ = 3

Another way to find the GCD is to use Euclid's Algorithm. At each step of the algorithm, the largest number modulo the smallest number is found. If that is not zero, the largest number is replaced by the result, and the process repeated. If the result is zero, the smallest number is the GCD.

GCD(6, 9) = 9 mod 6 = 3 . . . . . (6 mod 3 = 0, so 3 is the GCD)

8 0

2 years ago