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3 years ago

Find an equation of the line that goes through the points (10,34) and (-1,10)

Mathematics

1 answer:

kotykmax [81]3 years ago

3 0

Answer:

Given points are ( 10 ,34 ) and ( -1 , 10)

Step-by-step explanation:

The equation of line is given by 

first we can find slope (m) 

= (y2 - y1) / ( x2 - x1)

= 34-10/10+1

 =24/11

Now the equation is

y - y1 = m ( x - x1) 

y - 10 = 24/11 ( x +11)

11 ( y - 10 ) = 24 (x + 11)

11y - 110 = 24x + 264

24x + 264 +110-11y =0

24x - 11y + 374 = 0

which is the required equation 

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Find an equation of the circle whose diameter has endpoints (1,-5) and (-5,-3)

kirill [66]

Answer:The solution is in the attached file below

Step-by-step explanation:

7 0

2 years ago

If a couple were planning to have three children, the sample space summarizing the gender outcomes would be: bbb, bbg, bgb,

MaRussiya [10]

There are two choices for each child: overweight (o) or underweight (u). So if the first child is o the next can be o or u. If the first is u the second can be o or u. This gives four possibilities. Here the first child is the letter noted first and the second is the one listed second:
OO
OU
UO
UU

There are 4 outcomes and if each is equally likely then the probability of each is 1/4. Thus the probability of UU is 1/4

The probability of one underweight and one over weight is 1/2 because in two of the outcomes listed above there is one O and one U (namely OU and UO). Since there are 4 outcomes the probability is 2/4 = 1/2

5 0

3 years ago

The simple interest charged on a 65-day loan of $1,290 is $5.75. Find the annual simple interest rate (in percent) for this loan

Elan Coil [88]

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

P represents the principal or initial amount invested or collected as a loan.

R represents interest rate.

T represents the duration of time in years before the loan is bald back.

From the information given,

P = 1290

I = 5.75

Since there are 365 days in a year,

t = 65/365 = 0.1781 years

Therefore,

5.75 = (1290 × r × 0.1781)/100

5.75 = 229.749r/100 = 2.29749r

r = 5.75/2.29749

r = 2.5027

Rounding to the nearest percent,

r = 3%

5 0

3 years ago

Read 2 more answers

Yolanda made $192 for 12 hours of work. At the same rate, how many hours would she have to work to make $272?

denpristay [2]

Answer:

17 hours

take $192 and divide it by 12 so you know how much they make per hour

$192 / 12 = 16

then you're going to take $272 and divide it by what you know now - how much they make per hour (this will get you how many hours they worked)

$272 / 16 = 17

6 0

3 years ago

A prop for a school play is a sphere that will be hung from the ceiling. The surface area of the sphere is 5 024 cm'. If the sur

denis23 [38]

Answer:

The radius of the sphere, to the nearest cm:

$r\approx 20$ cm

Step-by-step explanation:

The surface area of a sphere is given by the formula

A = 4πr²

where r is the radius of the sphere.

Given

The surface area of sphere A = 5024 cm²

The radius of the sphere can be determined such as

$A\:=\:4\pi r^2$

$r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}$

Plug in Surface Area of sphere = 5024, π = 3.14 in the formula

$\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:$

$r\approx 20$ cm

Therefore, the radius of the sphere, to the nearest cm:

$r\approx 20$ cm

3 0

2 years ago