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DerKrebs [107]
1 year ago
8

Find the solution(s) of the system of equations:

Mathematics
1 answer:
murzikaleks [220]1 year ago
7 0

The solutions are (0, - 6) ,(7, 8)

The given system of equations is expressed as

y = x² - 5x - 6- - - - - - - - - - - - (1)

y = 2x - 6- - - - - - - - - - - (2)

We would apply the method of substitution by substituting equation 2 into equation 1. It becomes

x² - 5x - 6 = 2x - 6

x² - 5x - 6 = 2x - 6

x² - 5x - 2x - 6 + 6 = 0

x² - 7x = 0

x(x - 7) = 0

x = 0 or x - 7 = 0

x = 7 or x = 0

Substituting x = 0 into equation 2, it becomes

y = 2 × 0 - 6

y = - 6

Substituting x = 7 into equation 2, it becomes

y = 2 × 7 - 6

y = 14 - 6

y = 8

For more information about quadratic equations, visit brainly.com/question/1214333

#SPJ9

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Use the figure to determine the intersection of planes EAB and EFG
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Answer:

Option (3). EF

Step-by-step explanation:

From the figure attached,

Plane defined by EAB can be represented by the face EABF of the square prism also.

Similarly, plane EFG can be represented by the face EFGH of the prism.

Now these sides EABF and EFGH are joining each other at the edge EF of the cuboid.

Therefore, intersection of the given planes is EF.

Option (3) will be the answer.

7 0
3 years ago
6. If you draw 35 lines on a piece of paper so that no two lines are parallel to each
umka2103 [35]

The point of intersection is the point where lines intersect.

<em>There will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>

<em />

Given

<em />n = 35<em> --- the number of lines</em>

<em />d = 3<em> --- no three lines are concurrent</em>

<em />

When no three line are concurrent, it means that no three lines meet at the same point.

<u>So, the sequence of intersection is:</u>

  • <em>0 intersection for 1 line</em>
  • <em>1 intersection for 2 lines</em>
  • <em>3 intersections for 3 lines</em>
  • <em>6 intersections for 4 lines</em>

<em />

Following the above sequence, the number of intersections for n lines is:

n_k = \frac{n \times (n - 1)}{2}

In this case, n = 35.

So, we have:

n_k = \frac{35 \times (35 - 1)}{2}

n_k = \frac{35 \times 34}{2}

n_k = 35 \times 17

n_k = 595

<em>Hence, there will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>

<em />

Read more about lines of intersections at:

brainly.com/question/22368617

7 0
2 years ago
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Henry uses a total of 36 blue beads and 28 red beads to make 4 bracelets. Each
mart [117]

Answer: (9,7)

Step-by-step explanation: 32 Divided by 4 = 9 and 28 Divided by 4 = 7.

So there would be 9 Blue and 7 Red

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Find what p is 77=8p+5 p=
kirill115 [55]

p is 9

<u>Step-by-step explanation:</u>

Step 1:

Given 77 = 8p + 5. Find p

⇒ 8p + 5 = 77

⇒ 8p = 72

⇒ p = 72/8 = 9

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David is paid an annual salary of $52,000. Find the David's biweekly salary
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answer from calculator is 1083.33

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