Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) and (6,7).

Answer:

[tex]f(x)=3x-10[/tex]

Step-by-step explanation:

Recall point-slope form: Given a point [tex](x_{1}, y_{1})[/tex] and the slope [tex]m[/tex], the equation for the line is [tex]y-y_{1}=m(x-x_{1})[/tex].

We can plug in for our point and slope!

The equation for the line is [tex]y-14=3(x-8)[/tex].

Distributing the right side gives [tex]y-14=3x-24[/tex].

Adding [tex]14[/tex] to both sides gives [tex]y=3x-10[/tex].

So, the function is [tex]\boxed{f(x)=3x-10}[/tex] and we're done!

The value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.

To make the equation x2 – 12x = 1 look similar to the completing the square kind of expression where the left hand side of the equation becomes a perfect square, we must do the following;

In this scenario, the term (x² - 12x) can be rewritten as; (x - 6)² - 36.

This so because the expansion of (x - 6)² becomes;

Therefore, there's a need to subtract 36 from both sides of the equation so that the equation x2 – 12x = 1 is retained.

Therefore, the value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.

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Step-by-step explanation:

x = price of pants

y = price of top

x + y = 36

x = (4/5)y

we use the second equation as substitute in the first

(4/5)y + y = 36

4y + 5y = 180

9y = 180

y = $20

x = (4/5)y = (4/5)×20 = 4×4 = $16

Answer:

4x+10+14x+3=157

18x+13=157

18x=157-13

18x = 144

X = 144 /18

X= 8

NFE= 14x+3

= 14(8)+3

=112+3

=115

Step-by-step explanation:

Answer:

Its 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

the way i do it is, i think of it as Find _ and look for _. Then u count to where it starts and ends. If that doesnt help then let me know and ill explain something else.

Answer:

3x+5

Step-by-step explanation:

The base has length 3x+5. You answered your own question darling

Step-by-step explanation:

given :

120, 60, 30, _, _, _

find r!

solution :

r = 60/120 = ½.

=> 120,60,30, 15, 15/2 , 15/4 , ...

Step-by-step explanation:

Calcute the ratio :

r = Un/Un-1

r = 60/120

r = ½

Calculate 4th term :

Un = ar^n-1

U4 = 120 × ½^4-1

U4 = 120 × ½³

U4 = 120 × 0.125

U4 = 15

Calculate 5th term :

Un = ar^n-1

U5 = 120 × ½^5-1

U5 = 120 × ½⁴

U5 = 120 × 0.0625

U5 = 7.5

Calculate 6th term :

Un = ar^n-1

U6 = 120 × ½^6-1

U6 = 120 × ½⁵

U6 = 120 × 0.03125

U6 = 3.75

Answer:

aku ga tau Inggris AAAAAA pak yuk

The waves will cover a circular area of 7542.96 miles.

The circle is defined as the locus of the point traces around a fixed point called the center and is equidistant from the outer trace. The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that a radio station sends out radio waves in all directions from a tower at the center of the circle of broadcast range. The circle has a diameter of ​98 miles.

The area of a circle is calculated by the formula below:-

Area = ( π / 4 ) d²

Area = ( π / 4 ) ( 98 )²

Area = 7542.96 square miles

Therefore, the waves will cover a circular area of 7542.96 miles.

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Answer:

Step-by-step explanation:314

Answer:

length-77m

Step-by-step explanation:

since we already know the area which is 4158m² and width which is 54m we will do the opposite of multiplication to find the length which is division you divide 4158 by 58 and we get 77m

Answer:

a is the answer hope you get it right

Answer:

29.3r

29.3x2440

=71,492

Answer:

Perimeter : 8

Step-by-step explanation: 2 times 4= 8

Answer : Diluc + Klee = Dlee

Answer:

velosity= distance ÷ time

Step-by-step explanation:

[tex]3 \times \frac{2}{5} \div \frac{2}{3} = \\ \frac{17}{5} \times \frac{3}{2} = \frac{51}{10} = 5.1[/tex]

The answer is C (-3 , -3) and (-3 , 3)

Step-by-step explanation:

the other answer was already right.

yes, C (-3, -3) and (-3, 3)

but why ?

the slope is the y/x ratio of the x and y coordinate differences when going from one point to the other.

so, x changes 0 units. y changes 6 units (from -3 to 3).

so, the slope is 6/0 = infinite or simply undefined.

this is a vertical line at x = -3.

Answer:3 and 1/2 hours

Step-by-step explanation: She can ride 12 miles in one hour. So 42/12 = 3 and 6/12 also known as [tex]3\frac{1}{2}[/tex] hours

x = -1

Step-by-step explanation:

2(x - 1) + 4 = -(x + 6) + 5

2x - 2 + 4 = -x - 6 + 5

2x + 2 = -x - 1

2x + x = -1 - 2

3x = -3

x = -1

Answer:

(x-3)(x+5) = 0

x-3 = 0 and x+5=0

x=3 and x=-5 when y=0

y = x^2+2x-15

complete the square

= x^2+2x + 1 -15 - 1

= (x+1)^2 -16

f(x) = y = (x+1)^2 -16

y intercept = -15 or the point (0,-15)

x intercepts = 3 and -5 = the two zeroes or roots, or the points (3,0) and (-5,0)

vertex or minimum point of the upward opening parabola is (-1,-16)

note the 2 zeroes are both 4 units horizontally from the vertex x value, 3 to -1 is 4, and -1 to -5 is 4.

the line of symmetry is x=-1. left and right of x=-1 are mirror images

Step-by-step explanation:

hope it helps

Answer:

85

Step-by-step explanation:

Equation-

Answer:

C

Step-by-step explanation:

convert the fractions to decimals

Answer:

-29?

Step-by-step explanation:

Answer:

A is the correct answer.

Step-by-step explanation:

The translation is (-3, 6). this means you move each coordinate left three and up 6.

You could also subtract 3 from each x-coordinate and add 6 to each y-coordinate.

Answer:

Below.

Step-by-step explanation:

Disagree.

The + 4 translates the parent function 4 units to the left ( not up).

A right triangle with 45 degree angles mean bot the height and the base are the same, so Y would be 9.

The hypotenuse, which is labeled x is the length of the side multiplied by the square toot of 2.

Answer: X = 9√2

Answer:

x=10, x=6

Step-by-step explanation:

5

4x+3+64+73=180 [ Sum of angles of a triangle]

4x=180-140

x=40/4

x=10

6

25+140+2x+3=180  [ Sum of angles of a triangle]

2x=180-168

x=12/2

x=6

Answer:

FG= 15

Step-by-step explanation:

2x-12+3x-15=23

5x-27=23

-27+27 23+27

5x=50

5x/5=50/5

x=10

FG= 3x-15

3(10)-15

30-15

FG=15

Answer:

y = 6

Step-by-step explanation:

[tex]3(y - 5) + 2 = 5 \\ 3y - 15 + 2 = 5 \\ 3y - 13 = 5 \\ 3y = 5 + 13 \\ 3y = 18 \\ \\ y = \frac{18}{3} \\ \\ y = 6[/tex]

I hope I helped you^_^

The solution of the equation 3(y - 5) + 2 = 5 gives the result y = 6.

Thus, option (d) is correct.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=).

Let's solve the equation step by step:

3(y - 5) + 2 = 5

First, distribute the 3 on the left side:

3y - 15 + 2 = 5

Combine the constants on the left side:

3y - 13 = 5

Now, isolate the variable y by adding 13 to both sides:

3y = 18

Finally, divide both sides by 3 to solve for \(y\):

y = 18/3

y = 6

So, the solution to the equation is y = 6.

Thus, option (d) is correct.

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