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natulia [17]
3 years ago
15

Point S is on line segment \overline{RT} RT . Given RT=4x,RT=4x, ST=5x-10,ST=5x−10, and RS=6,RS=6, determine the numerical lengt

h of \overline{ST}. ST .
Mathematics
1 answer:
expeople1 [14]3 years ago
3 0

Answer:

ST = 10

Step-by-step explanation:

Given

RT =4x

ST = 5x - 10

RS = 6

Required

Determine ST

Since S is on RT, we have that:

RT = RS + ST

4x = 5x - 10 + 6

4x = 5x - 4

4x - 5x= - 4

-x= - 4

x= 4

Substitute 4 for x in ST = 5x - 10

ST = 5 * 4 - 10

ST = 20 - 10

ST = 10

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Divide.
Katena32 [7]

Answer:

33 1/3

Step-by-step explanation:

turn to improper for a simpler answer

6 2/3 = 20/3

20/3 ÷ 1/5

whenever you divide fractions, you change the symbol to multiplication and divide with the reciprocal, so you get:

20/3 * 5/1

multiply

20 * 5 = 100

3 *1 = 3

100/3

is equal to 33 1/3

6 0
3 years ago
PLEASE HELP!!!!!! The line of symmetry for the quadratic equation y = ax 2 - 8x - 3 is x = 2. What is the value of "a"?
nataly862011 [7]
y= ax^{2} -8x-3

1.

the line of symmetry is x=2, means that the x coordinate of the vertex is x=2.

the point x=2 is the midpoint of the roots x_1 and x_2. 

so 
\frac{x_1+x_2}{2}=2

x_1+x_2=4

Remark: in the x-axis, if c is the midpoint of a and b, then c= \frac{a+b}{2}


2.
since x_1 and x_2 are roots 

a(x_1)^{2} -8(x_1)-3=0 and a(x_2)^{2} -8(x_2)-3=0

3.
equalizing:

a(x_1)^{2} -8(x_1)-3=a(x_2)^{2} -8(x_2)-3

a(x_1)^{2} -8(x_1)=a(x_2)^{2} -8(x_2)

a(x_1)^{2}-a(x_2)^{2} =8(x_1) -8(x_2)

in the left side factorize a, in the left side factorize 8:

a[(x_1)^{2}-(x_2)^{2}] =8(x_1 -x_2)

in the right side use the difference of squares formula:

a(x_1 -x_2)(x_1 +x_2) =8(x_1 -x_2)

simplify by (x_1 -x_2)

a(x_1 +x_2) =8

substitute (x_1 +x_2) with 4:

a*4 =8

a=2


Answer: C)2

5 0
4 years ago
Yes or no question plz answer i’ll give brainliest
Licemer1 [7]

Answer:

  yes

Step-by-step explanation:

Each x-value is only listed once, so the relation <em>is a function</em>.

__

A function maps each x-value to only one y-value. If an x-value is listed more than once (with different y-values), then the relation is not a function.

3 0
3 years ago
Read 2 more answers
A right triangle has side lengths a, b , and c as shown below. Use these lengths to find cosx , sinx and tanx. (GIVING BRAINLEST
VashaNatasha [74]

9514 1404 393

Answer:

  • cos(x) = a/c
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Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relationships between triangle sides and trig functions. These abbreviations tell you that ...

  Sin = Opposite/Hypotenuse   ⇒   sin(x) = b/c

  Cos = Adjacent/Hypotenuse   ⇒   cos(x) = a/c

  Tan = Opposite/Adjacent   ⇒   tan(x) = b/a

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3 years ago
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Nostrana [21]
Answer; 8inch, 4x larger
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4 years ago
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