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kaheart [24]
3 years ago
12

Estimate the solution of the system x+y=4 2x-y=6 by sketching a graph of each linear function. Then solve the system algebraical

ly. Use your estimate to judge the reasonableness of your solution. The estimated solution is The algebraic solution is The solution is/is not reasonable because​
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Answer:

(10/3, 2/3)

Step-by-step explanation:

You may find it easier to write these two equations x+y=4 2x-y=6 in a column:

x+y=4

2x-y=6

Adding these together will eliminate y:

3x = 10.  Then x = 10/3.

Substituting 10/3 for x in the first equation results in:

10/3 + y = 4

Clear fractions by multiplying all three terms by 3:

10 + 3y = 12

Then 3y = 2, and y = 2/3.

The solution is (10/3, 2/3)

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3 years ago
has 8 times as many rocks in his collection as carter. carter and jacey have 54 rocks altogether. how many rocks does jacey have
lions [1.4K]

Answer:

Jacey has 48 rocks. Carter has 6 rocks.

If Carter and Jacey are the only factor owners of 54 rocks

We divide 48 by 8 = 6 rocks: 42 difference;

Which is also 54  as 6 + 48 = 54

They now have 48 difference

6,6, 6,6, 6,6, 6,6 = 48

We see 48 - 6 = 42.

We also see 48 + 6 = 54

54=6 = 48

48 difference is the denominating divider; meaning 48/8 = 6 is how we first find the answer before adding on the 6 to show the difference of 8 equal shares.

7 0
3 years ago
This is another trig question I need help with. Please explain how you do it to me I would appreciate it so much!!
Irina-Kira [14]

Answer:

He stepped back 59.71 feet.

Step-by-step explanation:

Start by making 2 triangles. One has 68 degrees as the acute angle at the base of the triangle and the other has 41 degrees as the acute angle at the base of the triangle. The side opposite of said angle on both triangles will be 80, the height of the tree. You're solving for the bottom (horizontal) side for both triangles.

For the triangle with an acute base angle of 68, the formula to solve for the horizontal side is tan(68) = 80/x.

Get x by itself to get 80/tan(68) = x

x = 32.32.

For the next triangle, the equation is the same but the angle is changed to 41.

tan(41) = 80/x

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Finally, subtract the smaller distance from the larger:

92.03 - 32.32 = 59.71 steps.

3 0
3 years ago
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