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Annette [7]
3 years ago
15

Find the distance between the points (4,-2) and (0,10)

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0

We can solve this problem by using the distance formula. The distance formula is: \sqrt{(x_{1}-x)^{2} + (y_{1} - y)^{2}} We can now put in values and solve.

\sqrt{(4-0)^{2} + (-2-10)^{2}}  

\sqrt{16 + 144}

\sqrt{160} 

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Find the sum of the roots of the quadratic x^2 + 7x - 13 = 0
Hoochie [10]

Answer:

-7

Step-by-step explanation:

You use the quadratic formula of ax^{2} +bx+c = 0 to get:

a = 1

b = 7

c = -13

then you plug that into x= (-b ± √b²-4ac)/(2a) :

x= ( -7 ± √7²- 4(1)(-13) )/(2(1))

x=-\frac{7}{2} + \frac{\sqrt{101}}{2} \\\\x=-\frac{7}{2} - \frac{\sqrt{101}}{2}

The sum of these two x values turns out to be:

x=-\frac{7}{2} + \frac{\sqrt{101}}{2}+( -\frac{7}{2} - \frac{\sqrt{101}}{2} )= -\frac{14}{2} = 7

6 0
3 years ago
there are 200 end of the year school dance tickets students who have perfect attendance are able to presage them in advance if 1
Umnica [9.8K]

200 - 18 = 182
182 is the answers
3 0
3 years ago
P (-2,6), Q (9,6), R (7, -1), S (-4, -1) are the vertices of a quadrilateral.
vova2212 [387]

Step-by-step explanation:

Parallelogram

Reflect y=-1 ;x changes sign

6 0
3 years ago
Tom wants to buy 10 shirts.
cupoosta [38]

Answer:

$109.99

Step-by-step explanation:

You just have to multiply 10x10.99

6 0
3 years ago
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Gary deposited $20 in a savings account earning 10% interest, compound annually. to the nearest cent, how much will he have in 3
Strike441 [17]
<h3>Answer: $26.62 </h3>

============================

Work Shown:

P = 20 is the amount deposited

r = 0.10 is the decimal form of the 10% interest rate

n = 1 means we compound 1 time per year (annually)

t = 3 is the number of years

Plug those four values into the compound interest formula below

A = P*(1+r/n)^(n*t)

A = 20*(1+0.1/1)^(1*3)

A = 20*(1+0.1)^(3)

A = 20*(1.1)^(3)

A = 20*1.331

A = 26.62

5 0
3 years ago
Read 2 more answers
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