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MA_775_DIABLO [31]
2 years ago
12

5. Is s = 8 a solution to the inequality below? a) s < 2​

Mathematics
1 answer:
JulijaS [17]2 years ago
4 0

Answer:

Step-by-step explanation:

no, as 8 is not <2

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Find the center and radius of the circle whose diameter has an endpoint at (-3, -4) and the origin.
Zina [86]

Given end points of diameter,

(x1,y1)=(-3,-4)

(x2,y2)=(0,0)

Now,

the equation of circle is,

(x-x1)(x-x2)+(y-y1)(y-y2)=0

or, (x+3)(x-0)+(y+4)(y-0)=0

or, x^2 +3x +y^2 +4y =0

or, x^2 +y^2 +3x + 4y=0

which is in the form of x^2 +y^2 +2gx +2fy + c=0

where,

g=3/2

h=2

c=0

Now,

radius(r) =  \sqrt{ {g}^{2}  +  {f}^{2} - c  } \\  =  \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } +  {2}^{2}  - 0 }  \\  =  \sqrt{ \frac{9}{4}  + 4}  \\  =   \sqrt{ \frac{25}{4} }  \\  =  \frac{5}{2}

6 0
3 years ago
X=4<br> what is the domain and what is the range and is it a function?
marusya05 [52]
The domain is the numbers you can use for x

so the domain is 4

the range is the possible y values we get from that domain
we get all real numbers because it goes up and down infinitey


domain is 4
range is all real numbers
7 0
3 years ago
a architect uses a scale drawing with a scale factor of 1 cm:20 feet. if a actually building is 120 feet tall how many centimete
agasfer [191]
The answer is 6

Explanation:
1 cm : 20 feet
y cm : 120 feet
(We will use cross multiplication)
20y = 120*1
20y/ 20 = 120/20. (left-side: the 20’s will be cancelled)
y= 120/20
y= 6
5 0
3 years ago
If one kg. of potatoes costs $4.99, what would 1.8 kg cost?
lina2011 [118]
You can use the proportion.
$4.99 / 1 kg = x / 1.8 kg
x = ($4.99 * 1.8 kg) / 1 kg
x = $8.98

Therefore, in 1.8 kg of potatoes, it costs at $8.98
 ☺️<span>✌️</span>
3 0
3 years ago
Lydia drives from city a to city b to transport goods. her return speed is 3 times her departure speed and she takes 40 minutes
gizmo_the_mogwai [7]

Answer:

1 hour

Step-by-step explanation:

Hello, let's say that her departure trip takes t in minutes, as her return speed is 3 times her departure speed, she took t/3 for the return and we know that this 40 minutes less, so we can write.

t/3=t-40

We can multiply by 3

t = 3t -40*3 = 3t - 120

This is equivalent to

3t -120 = t

We subtract t

2t-120 = 0

2t = 120

We divide by 2

t = 120/2 = 60

So this is 60 minutes = 1 hour.

Thank you.

4 0
3 years ago
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