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3 years ago

RS = 6y+2, ST=3y +7, and RT=13y-23 What is the value of y? y =____ Find STand RT. ST =_ RT =_____

Mathematics

1 answer:

svlad2 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Given RS = 6y+2, ST=3y +7, and RT=13y-23, the vector formula is true for the equations given; RS+ST = RT

Om substuting the expression into the formula;

6y+2+3y +7 = 13y - 23

collect the like terms

6y+3y-13y+2+7+23 = 0

-4y+32 = 0

Subtract 32 from both sides

-4y+32-32 = 0-32

-4y = -32

y = -32/-4

y = 8

Since ST = 3y+7. we will substitute y = 8 into the exprrssion to get ST

ST = 3(8)+7

ST = 24+7

ST = 31

Similarly,

RT = 13y-23

RT = 13(8)-23

RT = 104-23

RT = 81

<em>Hence y = 8, ST = 31 and RT = 81</em>

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3 years ago

From her window, Carmella looks up to the top of a neighboring building at an angle of 46°. Her

Vinil7 [7]

Answer:

$270.3\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ADE

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$tan(25\°)=\frac{h_1}{180}$

Solve for h1

$h_1=(180)tan(25\°)\\h_1=83.94\ ft$

step 2

In the right triangle ABC

Find the value of h2

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step 3

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3 years ago

Resolver xfa... El taller trata de division de polinomios o algo asi

luda_lava [24]

La altura del triangulo está dada por el polinomio:

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<h3></h3><h3>¿Cual es la altura del triangulo?</h3>

Recordar que para un triangulo de base B y altura H, el area es

A = B*H/2

En este caso, sabemos que la base es B = (4*a^2 + 6)

Y el area es A = 2a^3 + 8a^2 +3a +12

Entoces la altura será un polinomio tal que:

P(a)*(4*a^2 + 6)/2 = 2a^3 + 8a^2 +3a +12

P(a)*(4*a^2 + 6) = 2*(2a^3 + 8a^2 +3a +12) = 4a^3 + 16a^2 + 6a + 24

Podemos ver que p(a) va a ser un polinomio de grado 1, entonces:

p(a) = (c*a + b)

Reemplazando eso:

(c*a + b)*(4*a^2 + 6) = 4a^3 + 16a^2 + 6a + 24

Expandiendo:

(4c)*a^3 + (6c)*a + (4b)*a^2 + 6*b = 4a^3 + 16a^2 + 6a + 24

Comparando terminos del mismo exponente, podemos ver que:

(4c) = 4

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Resolviendo esas ecuaciones para c y b, podemos ver que:

b = 16/4 = 4

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Entonces la altura del triangulo está dada por el polinomio:

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1 year ago

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3 years ago

Read 2 more answers

UPVOTING ANSWERS!!!

vodomira [7]

Right triangle
hope this helped

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3 years ago

RS = 6y+2, ST=3y +7, and RT=13y-23 What is the value of y? y =________ Find STand RT. ST =_______ RT =_______

RS = 6y+2, ST=3y +7, and RT=13y-23 What is the value of y? y =____ Find STand RT. ST =_ RT =_____