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Marizza181 [45]
3 years ago
8

Yanira is 3 years older than tim and twice as old as hannah. tim is 2 years older than hannah. how old are yanira, tim, and hann

ah
Mathematics
1 answer:
Sati [7]3 years ago
4 0
Y = T+3 (i)
T = H+2  (ii)
Y = 2*H  (iiii)

T = H+2  therefore H = T-2

Substitute H=T-2 into (iii)
Y=2*H
Y=2*(T-2)
Y=2T-4

Now substitute that Y into (i)
(i) says Y = T+3
2T-4=T+3
2T-T-4=3
T-4=3
T=3+4
T=7

Then from (i) Y=T+3 = 7+3 =10
Y=10

And from (iii) Y=2*H
If Y = 10, then H = 5

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Answer:

49

Step-by-step explanation:

cos(x)=31/47

x=cos^-1 (31/47)

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Asa. the side is in the middle of the angles
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Solve the following inequality for s. Write your answer in simplest form.
Doss [256]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

\qquad \sf  \dashrightarrow \: - 10 + 5(78 + 8) <  - 4s + 3 - 8

\qquad \sf  \dashrightarrow \: - 10 + 5(86) <  - 4s  - 5

\qquad \sf  \dashrightarrow \: - 10 +430 <  - 4s  - 5

\qquad \sf  \dashrightarrow \: 420 + 5 <  - 4s

\qquad \sf  \dashrightarrow \: 42 5 <  - 4s

\qquad \sf  \dashrightarrow \: 42 5 \div 4 <   - s

\qquad \sf  \dashrightarrow \: 106.25 <   - s

Inequalities change when it is multiplied by -ve number

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3 0
2 years ago
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The sum of squares of two
Elanso [62]

Answer:

the product of the 2 numbers is 22

Step-by-step explanation:

x² + y² = 80

(x - y)² = 36

=>

x - y = 6

or y - x = 6

let's start with the first one x-y=6

x = 6 + y

=>

(6+y)² + y² = 80

y² + 6y +6y + 36 + y² = 80

2y² + 12y + 36 = 80

2y² + 12y - 44 = 0

y² + 6y - 22 = 0

the solution of a quadratic equation

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case here we have an squadron in y.

a=1

b=6

c=-22

(-6 ± sqrt(36 + 4×22))/2 = (-6 ± sqrt(36+88))/2 =

= (-6 ± sqrt(124))/2 = (-6 ± sqrt(4×31))/2 =

= (-6 ± 2×sqrt(31))/2 = -3 ± sqrt(31)

y1 = -3 + sqrt(31)

y2 = -3 - sqrt(31)

=>

x1 = 6 + -3 + sqrt(31) = 3 + sqrt(31)

x2 = 3 - sqrt(31)

control :

(-3 + sqrt(31))² + (3 + sqrt(31))² = 80

9 - 3 sqrt(31) - 3 sqrt(31) + 31 + 9 +3 sqrt(31) + 3 sqrt(31) + 31 = 80

9 + 31 + 9 +31 = 80

18 + 62 = 80

80 = 80 correct

solving now for y-x=6

delivers exactly the same calculations, just with x and y trading places.

so, the resulting 2 number pairs are the same.

the product of the 2 numbers :

(3 + sqrt(31))(-3 + sqrt(31)) = -9 - 3 sqrt(31) + 3 sqrt(31) + 31 =

= -9 + 31 = 22

(3 - sqrt(31))(-3 - sqrt(31)) = -9 + 3 sqrt(31) - 3 sqrt(31) + 31 =

= 22

so, the product is the same in both cases.

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What’s the slope of (-2,4) (1,-2)
Lyrx [107]
The slope of the above is -2
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