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Finger [1]
3 years ago
12

The area of the shape

Mathematics
1 answer:
Maru [420]3 years ago
5 0

Answer:

51 units^2

Step-by-step explanation:

You can divide the problem into a rectangle and a triangle.

13*6/2=39

1*12=12

39+12=51

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What is an equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 ?
Natali5045456 [20]

Answer:

The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is

6x+y=-5

Step-by-step explanation:

Given:  

Let,  

point A( x₁ , y₁) ≡ ( -2 , 7)

To Find:  

Equation of Line  that passes through the point (-2,7) and is perpendicular to the line x-6y=42=?  

Solution:  

x-6y=42    ..................Given

which can be written as

y=mx+c

Where m is the slope of the line

∴ y=\dfrac{x}{6}-7

On Comparing we get

Slope = m = \dfrac{1}{6}

The Required line is Perpendicular to the above line.

So,

Product of slopes = - 1

m\times m_{1}=-1\\Substituting\ m\\ \dfrac{1}{6} m_{1}=-1\\\\m_{1}=-6

Slope of the required line is -6

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,  

i.e equation in point - slope form

(y-y_{1})=m(x-x_{1})

Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2, 7) and slope = -6 we get

(y-7)=-6(x--2)=-6(x+2)=-6x-12\\\\\therefore 6x+y=-5.......is\ the required\ equation\ of\ the\ line

The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is

6x+y=-5

3 0
3 years ago
After the closing of the mill, the town of Sawyerville experienced a decline in its population.
vfiekz [6]

Step-by-step explanation:

P(t) = 12,000 (2)^(-t/15)

9,000 = 12,000 (2)^(-t/15)

0.75 = 2^(-t/15)

ln(0.75) = ln(2^(-t/15))

ln(0.75) = (-t/15) ln(2)

-15 ln(0.75) / ln(2) = t

t = 6.23

4 0
3 years ago
What is the solution of the equation?
pantera1 [17]
<span>4.7x + 3.8 = 13.2
</span><span>4.7x + 3.8 - 3.8= 13.2 - 3.8 
4.7x = 9.4
x = 2

answer is D. 2</span>
7 0
3 years ago
Read 2 more answers
Expand.If necessary combine like terms.(1+6x)(1-6x)
Anastaziya [24]

Answer:

-36x^2+1

Step-by-step explanation:

(1+6x)(1-6x)

= 1^2(6x)^2

= -36x^2+1

6 0
3 years ago
Read 2 more answers
HELP FIRST GETS BRAINLY
TiliK225 [7]

Answer:

3/21 most simplest form is 1/7

Step-by-step explanation:

4 0
3 years ago
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