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Leviafan [203]
2 years ago
11

The slopes of the perpendicular lines are ____.

Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
8 0

Answer:

a) negative reciprocals

Step-by-step explanation:

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A rectangular yard has a total perimeter of 220 feet. The widths of the yard are each 30 feet shorter than the lengths of the ya
ziro4ka [17]

Answer:

L = 70   W = 40

Step-by-step explanation:

P = 220 ft

W = L - 30

I started guessing numbers for L that would work. When I did this, I made sure that all of the sides added up to 220 ft.

5 0
3 years ago
8.Find the value of c that makes the expression be a perfect square trinomial p^2-30p+c
Darina [25.2K]
Hope this is the right one.

Problem 8
p^2 - 30p + c
<em>Step One</em>
Take 1/2 of - 30
1/2 * -30 = - 15

<em>Step 2
</em>Square -15
(-15)^2 = 225
c = 225

Problem Nine
\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} &#10;
a = 1
b = 4
c = -15
\text{x = }\dfrac{ -4 \pm \sqrt{4^{2} - 4*1*(-15) } }{2*1}
\text{x = }\dfrac{ -4 \pm \sqrt{\text{16} + \text{60} } }{2}

x = [-4 +/- sqrt(76)] / 2
x = [-4 +/- 2*sqrt19]/2
x = [-4/2 +/- 2/2 sqrt[19]
x = - 2 +/- sqrt(19) 

x1 = - 2 + sqrt(19)
x2 = -2 - sqrt(19)

These two can be broken down more by finding the square root. I will leave them the way they are.  It's just a calculator question if you want it to go into decimal form.

Problem Ten

a = 1
b = 4
c = -32

The discriminate is sqrt(b^2 - 4ac)
D = sqrt(b^2 - 4ac)
D = sqrt(4^2 - 4(1)(-32)
D = sqrt(16 - - 128)
D = sqrt(16 + 128)
D = sqrt(144)
D = +/- 12

Since D can equal + or minus 12 there must be 2 possible (and different) roots. As a matter of fact, this quadratic can be factored.
(x + 8)(x - 4) = y 
But that' s not what you were asked for.
The discriminate is >  0 so the roots are going to be real.
<em>Answer; The discriminate is > 0 so there will be 2 real different roots.</em>

4 0
3 years ago
The perimeter of a rectangle is 20m and the length is x m find the
dsp73

Answer:

2(x+y)

Step-by-step explanation:

perimeter=20cm

length=x

Take the radius to be y

area of a rectangle=2(length+width)

therefore area of a rectangle=2(x+y)

6 0
2 years ago
Use the relationship between the angles in the figure to answer the question.
grigory [225]

Answer:

x = 52, A.

Step-by-step explanation:

The two angles across from each other are both acute angles, which means that considering their positioning, they're gonna equal the same in degrees. If the question were asking to find the value of x on one of the obtuse angles, your answer would be B, considering both of those lines would equal 180 degrees.

Hope that helps!

3 0
3 years ago
Is 0.007 x 10 equivalent to 0.07
Pachacha [2.7K]
Yes they are equivalent because when you multiply by 10, you move the decimal place one spot to the right.
5 0
3 years ago
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