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andreev551 [17]
4 years ago
15

Miss Palmer is placing a retaining wall around a garden. The coordinates of the vertices of the garden are (1,1), (1,5), (6,5),

and (6,1). If each grade square has a length of 2 feet find the perimeter of the garden.

Mathematics
1 answer:
Tasya [4]4 years ago
8 0

Answer:

36 feet

Step-by-step explanation:

First, find the perimeter of the garden in grade's units. Plot the vertices on the coordinate plane (see attached diagram). The picture shows that garden is rectangular. The perimeter of the garden is

P=AB+BC+CD+AD=4+5+4+5=18\ un.

If each grade square has a length of 2 feet, the perimeter of the garden is

P_{actual}=18\cdot 2=36\ ft.

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attashe74 [19]

Answer:

5x + y = -28

Step-by-step explanation:

Hi there!

We're given that a line has a slope of -5 and contains the point (-4, -8)

We want to write the equation of this line in standard form

Standard form is given as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero, and a cannot be negative

Before we write the equation in standard form however, we need to write it in slope-intercept form, which is y=mx+b, where m is the slope & b is the y intercept

As we are already given the slope, we can immediately plug that in for m in y=mx+b

y=-5x+b

Now to find b:

As the equation passes through the point (-4, -8), we can use its values to help solve for b

Substitute -4 as x and -8 as y:

-8 = -5(-4) + b

Multiply

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Subtract 20 from both sides

-8 = 20 + b

-20  -20

__________

-28 = b

substitute -28 as b

y = -5x - 28

We found the equation in slope-intercept form, but remember, we want it in standard form

In standard form, both x and y are on the same side; so, let's move 5x to the other side; to do this, we need to add 5x to both sides

y = -5x - 28

+5x +5x

_________

5x + y = -28

Hope this helps!

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