Please help ‼️‼️

Graph the Image of square KLMN after a translation 3 units left .

AURORKA [14]

Answer:

N' (-8,9) K' (-8,3) L' (-2,3) M' (-2,9)

Step-by-step explanation:

To translate the square 3 units to the left you would subtract 3 from the x-coordinates of the points shown.

3 0

2 years ago

Through (3, 4) and perpendicular to y = (1/3)x - 3

Oksana_A [137]

Answer:3

x

−

2

y

=

7

Explanation:

Write the standard form of the line that goes through

(

3

,

1

)

and is perpendicular to

y

=

−

2

3

x

+

4

.

The equation

y

=

−

2

3

x

+

4

is in slope intercept form

y

=

m

x

+

b

where

m

= slope and

b

= the

y

intercept.

The slope of this line is then

m

=

−

2

3

A perpendicular slope is the opposite sign reciprocal. So, we change the sign of

−

2

3

and switch the numerator and denominator.

Perpendicular slope

m

=

3

2

To find the equation of the new line, use the point slope equation

y

−

y

1

=

m

(

x

−

x

1

)

where

m

=

slope and

(

x

1

,

y

1

)

is a point.

The slope is

3

2

and the point is the given point

(

3

,

1

)

.

y

−

1

=

3

2

(

x

−

3

)

a

Distribute

y

−

1

=

3

2

x

−

9

2

Standard form is

a

x

+

b

y

=

c

where

a

,

b

and

c

are integers and

a

is positive.

a

2

(

y

−

1

=

3

2

x

−

9

2

)

a

Multiply the equation by

2

a

2

y

−

2

=

3

x

−

9

−

3

x

a

−

3

x

a

Subtract

3

x

from both sides

−

3

x

+

2

y

−

2

=

−

9

a

+

2

a

+

2

a

a Add 2 to both sides − 3 x + 2 y = − 7 − 1 ( − 3 x + 2 y = − 7 ) a a a Multiply the equation by − 1 3 x − 2 y = 7

3 0

3 years ago

Please answer, thank you

cupoosta [38]

Answer:

Step-by-step explanation:

Since y = -3 we can plug straight into the other equation

--> -x + 2y = -6

-x + 2(-3) = -6

-x - 6 = -6

-x = 0

x = 0

To graph this draw a horizontal like across the page at y = -3 and a vertical line down the page to represent x = 0

The point where these lines intersect is (0,-3)

So that would be the ordered pair solution.

4 0

3 years ago

What is the value of x? A. 19.8 B. 27.2 C. 12.9 D. 9.4 E. 11.6

PolarNik [594]

Answer:

D

Step-by-step explanation:

sin36/x=sin90/16

x=9.4

4 0

3 years ago

A golfer aims for a hole that is 120 feet away and, when he hits the golf ball off the ground, its highest point reaches 80 feet

Mumz [18]

Answer:

No she isn't. The value of $a$ is $a=-\frac{1}{45}$

Step-by-step explanation:

We know that all quadratic equation can be written in the following way :

$y=ax^{2}+bx+c$ (I)

Where $a,b$ and $c$ are real numbers.

I will attach a drawing with the quadratic graph to understand the situation.

We know by looking at the drawing and analyzing it that the parabola passes through the points : $(0,0) ; (60,80)$ and $(120,0)$

$(0,0)$ because we put our coordinates origin there.

$(120,0)$ because that's where the golf hole is.

And $(60,80)$ because we know that its highest point reaches 80 feet up in the air at the middle of the distance between its roots (property of a negative parabola).

Finally, we work with the three points and the equation (I) in order to find the values of $a,b$ and $c$ ⇒

The parabola passes through $(0,0)$ ⇒

$y=ax^{2}+bx+c$ ⇒

$0=a(0)^{2}+b(0)+c$ ⇒ $c=0$

The parabola passes through $(60,80)$ ⇒

$80=a(60)^{2}+b(60)$ ⇒

$80=3600a+60b$ (II)

The parabola passes through $(120,0)$ ⇒

$0=a(120)^{2}+b(120)$ ⇒

$0=14400a+120b$

$120b=-14400a$

$b=-120a$ (III)

Now if we use (III) in (II) ⇒

$80=3600a+60(-120a)$

$80=3600a-7200a$

$3600a=-80$

$a=-\frac{1}{45}$ ⇒ $b=\frac{8}{3}$

Finally the equation of the parabola is

$y=-\frac{x^{2}}{45}+\frac{8}{3}x$

Where the value of $a$ is $a=-\frac{1}{45}$

8 0

3 years ago