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Oxana [17]
2 years ago
8

The following set of ordered pairs is an example of direct variation, find the constant ratio between the variables. (Hint: Find

k.)
(2, 4) (5, 10) (7, 14) (11, 22)

A. k=2
B. k=8
C. k=-2
D. k= 1/2
Mathematics
1 answer:
iVinArrow [24]2 years ago
6 0
Use formula y = k x and find value of k using any of the coordinates
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On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, negative 3) and point B is at (negative 4, 9).
zimovet [89]

Answer: (0,1)

Step-by-step explanation:

If (x_1, y_1) and  (x_2, y_2) are two point son a coordinate plane and (x,y) dividing it in a ratio of m: n.

Then , the coordinates of (x,y) is given by :-

x=\dfrac{nx_1+mx_2}{m+n}

y=\dfrac{ny_1+my_2}{m+n}

Given : On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, - 3) and point B is at (- 4, 9).

Then , the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 :

x=\dfrac{2(2)+1(-4)}{1+2}=0

y=\dfrac{2(-3)+1(9)}{1+2=1}

Hence, the x- and y- coordinates of point E = (0,1)

3 0
3 years ago
Read 2 more answers
Find all solutions for a triangle with a = 14, b= 12, and B = 90°.
ziro4ka [17]

Answer:

No solution.

Step-by-step explanation:

Given

a = 14; b= 12; B = 90^\circ

Required

Find all possible solutions

If B = 90^\circ, then the triangle is right-angled and the hypotenuse is at b

Given that a = 14; b= 12;

This implies that a > b

In a right-angled triangle, the hypotenuse (side b) is the longest.

Since this is not true for the given sides, then the triangle has no solution.

5 0
3 years ago
Express each number as a product of its prime factor of 39
vitfil [10]
If you just mean the product of the prime factors of 39 then this is the answer

39 = 3 x 13
5 0
3 years ago
-a(n)=-5+6(n-1) find the 12th term
mamaluj [8]

Answer:

  61

Step-by-step explanation:

Put 12 where n is, then do the arithmetic.

  a(12) = -5 +6(12-1) = 61

_____

We assume you didn't really mean to show an equation for -a(n). If you did, then the term you want is -61.

8 0
3 years ago
Label the chart with the correct place value. hundredths tenths thousandths
fomenos

Answer:

1020000is a hundredth tenths thousands

4 0
3 years ago
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