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Greeley [361]
3 years ago
5

Which is an equation of a circle with center (2, -1) that passes through the point (3, 4)?

Mathematics
1 answer:
Dimas [21]3 years ago
5 0
Let A be (2,-1) & B be (3,4). The radius of the circle is AB. Let's calculate it

AB =√{(3-2)²+(4+1)²]  = √26

Now the standard form of the equation of a circle:

(x-h)²+(y-k)² = R²

(x-2)²+(y-1)² = 26
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Molly was on a long 136 mile road trip. The first part of the trip there was lots of traffic, she only averaged 16 mph. The seco
Mazyrski [523]

Answer:

In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

Explanation:

Given that the road trip was 136 miles;

d=136

The first part of the trip there was lots of traffic, she only averaged 16 mph;

v_1=16

The second part of the trip there was no traffic so she could drive 44 mph;

v_2=44

She traveled for a total of 5 hours;

t=5

let x represent the time in traffic when she traveled at 16 mph

t_1=x

the time the traffic is clear would be;

t_2=t-t_1=5-x

Recall that distance equals speed multiply by time;

d=v_1t_1_{}_{}^{}+v_2t_2

substituting the values;

136=16x+44(5-x)

solving for x;

\begin{gathered} 136=16x+220-44x \\ 44x-16x=220-136 \\ 28x=84 \\ x=\frac{84}{28} \\ x=3 \end{gathered}

So;

\begin{gathered} t_1=3\text{ hours} \\ t_2=5-x=5-3=2 \\ t_2=2\text{ hours} \end{gathered}

Therefore, In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

7 0
1 year ago
Ben needs to buy orange juice he can buy 64 fl oz at the grocery store for $2.00 or he can buy 256 fl oz at the whole sale for $
Sholpan [36]
1.    2.00/64=3.125 cents per oz 
2.    7.50/256=2.930 cents per oz.
3.    The best deal is at the whole sale 
8 0
3 years ago
The difference when 7 less than a number is subtracted from twice the number is 12. What is the number?
Softa [21]
2n-(n-7)=12
n+7=12
12-7=5
n=5
6 0
3 years ago
Add the following complex numbers:<br> (6 - 21) + (11 +61)
umka2103 [35]

Answer:

ugh I think its red

Step-by-step explanation:

I'm kidding its 57

5 0
2 years ago
Read 2 more answers
T-2(3-2t)=2t+9 <br>algebra2
nekit [7.7K]
T-2(3-2t)=2t+9
t-6+4t=2t+9
5t-6=2t+9
5t-2t=9+6
3t=15
t=15/3
t=5
5 0
3 years ago
Read 2 more answers
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