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Nikolay [14]
3 years ago
5

PLZ HELP ASAP DIVIDE LINE SEGMENTS

Mathematics
1 answer:
rodikova [14]3 years ago
7 0
Segment in the direction from A to C
Initial Point: A=(9,5)=(xa,ya)→xi=xa=9, yi=ya=5
Final point: C=(-7,1)=(xc,yc)→xf=xc=-7, yf=yc=1
B=(xb,yb)=?
Proportion: r=AB/BC=3:1=3/1→r=3
 
xb=(xi+r*xf)/(1+r)
Replacing xi=xa=9, xf=xc=-7 and r=3
xb=[9+3*(-7)]/(1+3)
xb=(9-21)/4
xb=(-12)/4
xb=-3

yb=(yi+r*yf)/(1+r)
Replacing yi=ya=5, yf=yc=1 and r=3
yb=[5+3*(1)]/(1+3)
yb=(5+3)/4
yb=8/4
yb=2

B=(xb,yb)→B=(-3,2)

Answer: B=(-3,2)

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A rectangle is drawn so the width is 5 inches longer than
CaHeK987 [17]

Answer:

length = l\\width = 5 + l\\Diagonal = 36\\diagonal^2 = (5+l)^2 + l^2\\36^2 = 25 + l^2 +10l + l^2\\1296 = 2l^2 +10l +25 \\2l^2 +10l=1271\\\\l_1=\frac{-10+2\sqrt{2567}}{2\cdot \:2},\:l_2=\frac{-10-2\sqrt{2567}}{2\cdot \:2}

l_1=\frac{-5+\sqrt{2567}}{2},\:l_2=\frac{-5-\sqrt{2567}}{2}

clearly,

      l_{2} \ is \ a \ negative\ number

So we consider

l_{1} =\frac{-5+\sqrt{2567}}{2} = 22.83

Therefore height = 22.8inches

6 0
2 years ago
The amount of Jen’s monthly phone bill is normally
vredina [299]

Answer:

P(19

And we can find this probability with this difference and using the normal standard distribution

P(-3

Step-by-step explanation:

Let X the random variable that represent the amount of Jen monthly phone of a population, and for this case we know the distribution for X is given by:

X \sim N(55,12)  

Where \mu=55 and \sigma=12

We are interested on this probability

P(19

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

Replacing the info we got:

P(19

And we can find this probability with this difference and using the normal standard distribution

P(-3

7 0
3 years ago
How would you solve (4k+5)(k+1)=0?
alukav5142 [94]
(4k+5)(k+1)=0\iff4k+5=0\ or\ k+1=0\\\\4k=-5\ or\ k=-1\\\\\boxed{k=-\frac{5}{4}\ or\ k=-1}
5 0
3 years ago
Read 2 more answers
NEED ANSWER ASAP!
sveta [45]

Answer:

the answer is c

4.5feets

30 feets

7 0
2 years ago
In ΔJKL, j = 93 cm, k = 82 cm and l=86 cm. Find the measure of ∠J to the nearest degree.
zhuklara [117]

Answer:

5

Step-by-step explanation:

Answer:

85t

Step-by-step explanation:

1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

hope this helps

8 0
2 years ago
Read 2 more answers
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