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3 years ago

13

Find the equation (in standard form) whose center is (5, -3) and goes through (2, 5).

1 answer:

yanalaym [24]3 years ago

3 0

We can write this as

(x - 5)^2 + (y + 3)^2 = r^2

where r = radius

Plugging in the point (2,5) we have

(2-5)^2 + (5+3)^2 = r^2
r^2 = 9 + 64 = 73
so the required equation is

(x - 5)^2 + (y + 3)^2 = 73

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Please help me I need to get this done!!!

alukav5142 [94]

Answer:

y=-3x+4

Step-by-step explanation:

The question is asking for the equation in slope-intercept form. This is y=mx+b where m is the slope and b is the y-intercept.

The slope can be found by counting the units in between two points on the graph. Remember that slope is rise over run or y/x. Two points on the graph are (2,-2) and (1,1). The y is increasing by 3 while x is decreasing by 1. This means the slope is -3.

The y-intercept is where the line intersects with the y-axis. In this case, that point is (0,4). Therefore, b=4.

The final answer is y=-3x+4.

7 0

3 years ago

Which of the following best describes the slope of the line below? A. Zero B. Undefined C. Positive D. Negative

nadya68 [22]

Answer:

D. negative

Step-by-step explanation:

Let's analyze each answer choice.

A. Zero

A line with a zero slope is a horizontal line. The x values change, but the y values stay the same.

B. Undefined

A line with an undefined slope is a vertical line. The x values don't change and the y values vary.

C. Positive

When a line has a positive slope, the line increases from left to right.

D. Negative

When a line has a negative slope, the line decreases from left to right.

When we move from left to right on the graph, the line moves down. Therefore, this line must have a negative slope and D is correct.

7 0

3 years ago

ronaldo delivers the papers at the rate of 6 papers in 24 minutes. how much longer would it take him to deliver 56 papers than 4

UkoKoshka [18]

We are given

Ronaldo delivers the papers at the rate of 6 papers in 24 minutes

so, number of papers =6 in time =24 minutes

so, firstly we can find rate

rate = ( number of papers)/( time taken)

$r=\frac{6}{24} =\frac{1}{4}$

now, we can find times

Time for 56 papers:

we are given

number of papers =56

rate is

$r=\frac{1}{4}$

now, we can find time

$t_1=\frac{56}{r}$

$t_1=\frac{56}{\frac{1}{4}}$

$t_1=224min$

Time for 41 papers:

we are given

number of papers =41

rate is

$r=\frac{1}{4}$

now, we can find time

$t_2=\frac{41}{r}$

$t_2=\frac{41}{\frac{1}{4}}$

$t_2=164min$

now, we can find time difference

$t=t_1-t_2$

so, we can plug values

$t=224-164$

$t=60 min$ ..............Answer

8 0

3 years ago

Read 2 more answers

After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 rati

nikdorinn [45]

Answer:

I think its 90

Step-by-step explanation:

3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45

you need 90 more analysts to have a 1 to 1 ratio

3 0

3 years ago

Write an expression for the sequence of operations. Add 3 to x, double what you have, then subtract 1 from the result

galina1969 [7]

Answer:

[2(x+3)]-1

Step-by-step explanation:

7 0

3 years ago