Find the H.C.F. of the following numbers using division method
(a) 24, 40
​

Answer:

y= -1/15x + 16/15

Step-by-step explanation:

When two lines are perpendicular to each other that means their slopes are the negative reciprocals of each other.

So that means if a line has has a slope of 6, a line perpendicular to that line will have a slope of -1/6.

(a reciprocal is when the fraction is flipped over)

In this case, the negative reciprocal of 15 would be -1/15. So the slope of the line that is perpendicular would be -1/15.

The equation we would have so far for that line would be: y=-1/15x+b

Now we have to find the 'b' or the y intercept, which we can get by plugging in the point that was given (1,1), which is on that line.

Which gives us 1=-1/15(1)+b.

1=-1/15+b

1+1/15=b

Then you solve for b and get b= 16/15.

The equation of the line that is perpendicular to the given line is y= -1/15x + 16/15.

The equation of the line that passes through the point (1, 1) and is perpendicular to y = 15x + 45 is

y = 15x - 14.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Let the equation of a line is y = mx + c.

The line is perpendicular to y = 15x + 45.

y = 15x + 45 is in the form of y = mx + c

This means,

Slope = 15

m = 15

The line passes through the point (1, 1) = (x, y).

This means,

y = mx + c

1 = 15 x 1 + c

1 = 15 + c

c = 1 - 15

c = -14

The equation of the line is y = 15x - 14.

Thus,

The equation of the line that passes through the point (1, 1) and is perpendicular to y = 15x + 45 is

y = 15x - 14.

Learn more about equation of a line here:

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Answer:

Hence, the answer is 2/11.

Step-by-step explanation:

Let's begin by setting x equal to our repeating fraction. x= 0.18181818.

As a reduced (simplified) positive proper fraction 9/50 As a percentage 18%.

Answer:

x^2 - 9

Step-by-step explanation:

length = 2x - 6 = 2(x-3)

Area = [2(x-3) * (x + 3)]/2 = (x-3)(x+3) = x^2-9

Answer: x = 9

2x -6= x +3

2x -x= 3 +6

x= 9

Answer:

{2, 6, 14}

Step-by-step explanation:

Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.

To get the range, we will substitute the values of the domain into the given function as shown;

when x = -1

f(-1) = 4(-1)+6

f(-1) = -4+6

f(-1) = 2

when x = 0

f(0) = 4(0)+6

f(0) = 0+6

f(0) = 6

when x = 2

f(2) = 4(2)+6

f(2) = 8+6

f(2) = 14

Hence the required range are {2, 6, 14}

Answer:

y-y1=m(x-x1)

y-4=3/4(x+4)

y=3/4x+7

explanation:

the hypotenuse is 15 cm with the opposite side being h cm.

The angle is 31°

Thus, using trigonometric ratio, we have;

h/15 = sin 31

h = 15 sin 31

h = 15 × 0.5150

h = 7.725

Approximating to 1 decimal place gives;

h = 7.7 cm

Answer:

a

Step-by-step explanation:

tan(39⁰)= opposite ÷ adjacent

0.8097= 10 ÷ x

X = 10 ÷ 0.8097

X = 12.3

Answer:

Option A: x = -10 is a solution.

Step-by-step explanation:

Here we have the inequality:

3*(x - 4) ≥ 5*x + 2

We can solve this for x as follows:

first, expand the left side:

3x - 12 ≥ 5x + 2

now, move all the terms with x to one side, and the other terms to the other side:

-12 - 2 ≥ 5x - 3x

-14 ≥ 2x

now let's divide both sides by 2

-14/2 ≥ 2x/2

-7 ≥ x

So the solutions are values smaller than -7

In the options, the only value smaller than -7 is the first one:

A: -10

Then the correct option is A.

Answer:

2x-y-1=0

Step-by-step explanation:

.

Answer:

56

Step-by-step explanation:

Answer:

Step-by-step explanation:

distance =  square root [ [tex](x2-x1)^{2}[/tex] + [tex](y2-y1)^{2}[/tex] ]

where you have two points on the line

Point 1 = P1 = (x1,y1)

point 2 = P1 =(x2,y2)

Step-by-step explanation:

=(g-f)(n)

=4n+7-2n-3

=2n+4

Answer:

zero point six hundred and four

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

C. x ≥ -4

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-10x ≤ 40

Step 2: Solve for x

Answer:

C. x ≥ -4

Step-by-step explanation:

To solve this inequality isolate the variable. Do this by using the properties of equality, specifically the division property. So, divide both sides by -10. This equals, x ≤ -4. However, whenever an inequality is divided or multiplied by a negative number the sign must be flipped. Therefore, the final answer is x ≥ -4.

Answer:

124°

I hope it's helps you

Respuesta:

-13

Explicación paso a paso:

Dada la ecuación:

[4 + {(2-5) ²-4 (7-5) ³ + 2 (15/3)}] - Raíz cuadrada de 16

La raíz cuadrada de 16 se escribe como √16

[4 + {3² - 4 (2³) + 2 (5)} - √16

4 + {9 - 4 (2 * 2 * 2) + 10} - 4

4 + {9 - 4 (8) + 10} - 4

4 + {9 - 32 + 10} - 4

4 - 13 - 4

= -13

Answer:

60% of 20 pages = .6  * 20 = 12 pages

Step-by-step explanation:

Answer:

For completing the square, you need the coefficient of the x^2 term to be 1.

http://www.1728.org/quadr2.htm

Step-by-step explanation:

Answer:

I believe it would be 6.5184*10^-3

Step-by-step explanation:

If wrong please tell me

Answer:

5b: 3c = 25 : 16

Step-by-step explanation:

[tex] \frac{a}{b} = \frac{4}{5} \: and \: \frac{a}{c} = \frac{3}{4}[/tex]

dividing both to get a : c

[tex] \frac{a}{b} \times \frac{c}{a} = \frac{4}{5} \times \frac{4}{3} \\ \frac{c}{b} = \frac{16}{15} \\ [/tex]

inverting the fractions

[tex] \frac{b}{c} = \frac{15}{16} [/tex]

multiplying the numerator by 5 and denominator by 3

[tex] \frac{5b}{3c} = \frac{5 \times 15}{3 \times 16} \\ = \frac{75}{48} \\ = \frac{25}{16} [/tex]

therefore,

5b: 3c = 25 : 16

Answer:

hxgdhsksuflskjtnsjfbdyfyjagdjxfhhfbejfbodwkkgodl

Answer: -5  < x < -2 or (-5, -2)

Step-by-step explanation:

Graph- (-5, -2)

Inequality- -5  < x < -2

Answer:5.7 D

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

First, we combine like terms.

6x=2x+24

6x-2x=24

4x=24

Then we divide both sides by 4.

x=6

Answer:

x=6

Step-by-step explanation:

6x=2x+24

Transpose 2x to the other side

6x-2x=24

4x=24

x=24/4=6

x=6

Hope this helps

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