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3 years ago

Segment RS has endpoint R(5,7) and midpoint M(9,1). What are the coordinates of S?

Mathematics

1 answer:

vovikov84 [41]3 years ago

3 0

Answer:

(13,-5)

Step-by-step explanation:

let the coordinates of S be (x,y)

so, we have

(9,1) = (5+x/2, 7+y/2)

so, 9 = (5 + x) /2 1 = (7+ y)/2

9*2 = 5 + x 2= 7 + y

18 -5 =x 2-7 = y

13 =x -5 = y

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Find the slope of the line that passes through each pair of points (13,-3),(-5,-5)

PIT_PIT [208]

Answer:

$\boxed{\bold{\frac{1}{9} }}$

Explanation:

(13,-3), (-5,-5)

Find The Slope:

$\bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}$

$\bold{\left(x_1,\:y_1\right)=\left(13,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-5\right)}$

$\bold{m=\frac{-5-\left(-3\right)}{-5-13}}$

$\bold{ \ m \ = \ \frac{1}{9} }$

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3 years ago

Find the value of k if area of triangle is 4 unit and vertices are (-2,0),(0,4),(0,k)

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3 years ago

Donald is studying the eating habits of all students attending his school. He samples the population by dividing the students in

Degger [83]

Answer: c. Stratified sampling

Step-by-step explanation:

Stratified sampling is a sampling method in which the studied population is divided into separate groups or subgroups known as strata, there after a simple random sample can then be drawn from each separate or subgroups.

One of the main merit of stratified sampling is that it helps to reduce the size of sample required to get accurate result.

7 0

4 years ago

ACCORDING TO THE FEBRUARY 2008 FEDERAL trade commission reports on consumer fraud and identity theft, Alaska had 321 complaints

balu736 [363]

Answer: (0.205905, 0.242095)

Step-by-step explanation:

We know that the confidence interval for population proportion is given by :-

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ = sample proportion

n= sample size

Let p be the proportion of complaints of identity theft .

As per given , we have

n= 1432

$\hat{p}=\dfrac{321}{1432}\approx0.224$

By standard normal table , z* = 1.645 for 90% confidence level.

Now , 90% confidence interval for p will be :

$0.224\pm (1.645)\sqrt{\dfrac{0.224(1-0.224)}{1432}}\\\\=0.224\pm (1.645)(0.011)\\\\=0.224\pm 0.018095\\\\=(0.224-0.018095,\ 0.224+0.018095)\\\\=(0.205905,\ 0.242095)$

Hence, required confidence interval = (0.205905, 0.242095)

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3 years ago

2x²+5x-3=0 using completing the square method

ser-zykov [4K]

Answer:

$2 {x}^{2} + 5x - 3 = 0 \\ 2( {x}^{2} + \frac{5}{2} x - \frac{3}{2} ) = 0 \\ 2( {x}^{2} + \frac{5}{2} x + {( \frac{5}{4} )}^{2} ) - \frac{3}{2} - {( \frac{5}{4} )}^{2} ) = 0 \\ ( {(x + \frac{5}{4} )}^{2} = \frac{49}{16} \\ x + \frac{5}{4} = ± \frac{7}{4} \\ x = 0.5 \: \: and \: \: 3$

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3 years ago

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