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Nuetrik [128]
2 years ago
14

Please help ‼️‼️

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
6 0

Answer:

m = 10

Step-by-step explanation:

Find 'n' first..... then pythag theorem for 'm'....

n is to 5    as  15 is to n

n/5   = 15/n

n^2 = 75     n = sqrt (75)

Then   m^2 =  n^2 + 5^2

            m^2 = 75  +  25       s-o-o-o-o:     m = 10

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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

=

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Explanation:

Write the standard form of the line that goes through  

(

3

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1

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and is perpendicular to  

y

=

−

2

3

x

+

4

.

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y

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is in slope intercept form

y

=

m

x

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b

where  

m

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b

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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

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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

a

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

a

2

(

y

−

1

=

3

2

x

−

9

2

)

a

a

a

Multiply the equation by  

2

a

a

a

a

a

2

y

−

2

=

3

x

−

9

−

3

x

a

a

a

a

a

a

a

−

3

x

a

a

a

Subtract  

3

x

from both sides

−

3

x

+

2

y

−

2

=

−

9

a

a

a

a

a

a

a

a

+

2

a

a

a

+

2

a

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? <br> A. 19.8 <br> B. 27.2 <br> C. 12.9 <br> D. 9.4 <br> 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
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