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Setler [38]
3 years ago
8

What is solution to this system of equations? x + 4y = 12 and x = 0PLSSS hurry​

Mathematics
2 answers:
Step2247 [10]3 years ago
7 0

Answer:

y = 3

Step-by-step explanation:

It is given that x = 0,

So by substituting it in the equation x + 4y = 12

=> 0 + 4y = 12

=> 4y = 12 - 0 (by transposing)

=> 4y = 12

=> y = 12/4 = 3

Hope you understood!!

Margaret [11]3 years ago
3 0

Answer:

x=0 and y=3

Step-by-step explanation:

If x=0, then we can just plug that value into the other equation and solve for y:

x+4y=12

0+4y=12

4y=12

y=3

Therefore, the solution to the system of equations is x=0 and y=3

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4 0
3 years ago
If two sides of a triangle are 9cm and 15cm in length, which COULD be the measure of the third side?
MArishka [77]
The lemght could be 15 because a triangle has two long sides and one short one and the two are equivalent
5 0
4 years ago
- Write a recursive formula to represent the sequence below.<br> (3,7, 11, 15, 19,23,27,31,35, ...)
NemiM [27]

<em><u>The recursive formula to find nth term of sequence is:</u></em>

a_n = 4n - 1 \text{ where } n \geq 1 and n  = 1, 2, 3, ....

<em><u>Solution:</u></em>

Given a sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35

<em><u>Let us find the difference between terms</u></em>

7 - 3 = 4

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

23 - 19 = 4

27 - 23 = 4

31 - 27 = 4

35 - 31 = 4

Thus the difference between terms is constant

Thus the given sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>The nth term of arithmetic sequence is given by:</u></em>

a_n =a_1+(n-1)d

a_n = the nᵗʰ term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

Here in the given sequence

d = 4

a_1=3

Substitute in above formula,

a_n = 3 + (n-1)(4)\\\\a_n = 3 + 4n - 4\\\\a_n = 4n - 1

<em><u>Thus the recursive formula to find nth term of sequence is:</u></em>

a_n = 4n - 1 \text{ where } n \geq 1 and n = 1, 2, 3, ......

8 0
3 years ago
The dog’s leash is 60 inches long. If the dog walks back and forth with its leash pulled tight while the leash is tied to the li
labwork [276]

Answer:

150.08 inches

Step-by-step explanation:

The question simply requires that we find the length of the arc that the dog walks.

Its leash rotates through 150° and the length of the leash (radius) is 60 inches.

The length of an arc is given as:

L = α/360 * 2πR

where α = angle of arc

R =radius

Therefore:

L = 150/360 * 2 * π * 60

L = 150.08 inches

The dog walks 150.08 inches

5 0
3 years ago
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