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Alika [10]
1 year ago
15

question 17 on a number line, point s is located at – 3 and point t is located at 9 . what is the location of point r on s t giv

en that the ratio of s r to r t is 3 : 4 ?
Mathematics
1 answer:
KATRIN_1 [288]1 year ago
7 0

The location of R on the number line will be 15/7.

Number line:

Number line is used for the visual representation of numbers on a straight line.

Basically, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.

Given,

On a number line,

point S is located at – 3 and

point T is located at 9.

Ratio of S and T = 3:4

We need to find the location of point R on S and T.

According to the given details,

The distance from S to T

=> 3 + 9 = 12

Through this we know that,

=> SR + RT = 12 ---------------------(1)

Based on the ratio,

S/T = 3/4

Which is similar to,

SR/RT = 3/4

So,

SR = 3/4 RT -----------(2)

Apply the value of SR on equation (1),

Then

3/4RT + RT = 12

=> 7/4 RT = 12

=> RT = 12 x (4/7)

=> RT = 48/7

Now the location of point R,

=> OT - RT = 9 - 48/7

=> 15/7

Hence "The location of R on the number line will be 15/7".

To know more about Number line Here

brainly.com/question/13425491

#SPJ4

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I need help please! ​
Sophie [7]

Answer/Step-by-step explanation:

Area of trapezium = ½*(AD + BC)*AB

Area = 42 cm²

AD = (x + 8) cm

BC = (x + 5) cm

AB = x cm

Plug in the values into the equation

42 = ½((x + 8) + (x + 5))*x

42 = ½((x + 8 + x + 5)*x

42 = ½(2x + 13)*x

Multiply both sides by 2

42*2 = (2x + 13)*x

84 = 2x² + 13x

2x² + 13x = 84

Subtract both sides by 84

2x² + 13x - 84 = 0

4 0
3 years ago
What are the solution(s) of x2-4-0?
Elanso [62]

Answer:

For x^2 - 4 = 0, x  = 2, or x = - 2.

Step-by-step explanation:

Here, the given expression is :

x^2 - 4 = 0

Now, using the ALGEBRAIC IDENTITY:

a^2 - b^2 = (a-b)(a+b)

Comparing this with the above expression, we get

x^2 - 4 = 0  = x^2 - (2)^2 = 0\\\implies (x-2)(x+2) = 0

⇒Either (x-2) = 0 , or ( x + 2) = 0

So, if ( x- 2)   = 0 ⇒ x =  2

and if ( x + 2) = 0   ⇒ x = -2

Hence, for x^2 - 4 = 0, x  = 2, or x = - 2.

4 0
3 years ago
Read 2 more answers
Explain how to calculate the radius of a<br> circle if you know its diameter.
Marianna [84]

Answer:

r=d÷2 is the right answer

4 0
3 years ago
Chris saved x dollars and spent half of his savings buying video games. After earning an additional $15 cutting grass, he had $5
olga55 [171]

Chris started with $70  in the savings account

What is the equation representing the scenario?

The equation representing the scenario painted in the question is: one half times x plus 15 equals 50

1/2*X+15=50

X/2+15=50

X/2=50-15

X/2=35

X=35*2

X=70

In short the amount Chris started with in the savings account is $70

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4 0
1 year ago
Expand then simplify: 12(2p-3)
avanturin [10]

Answer:

expanding ends in the simplest form: 24p-36

Step-by-step explanation:

7 0
3 years ago
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