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Alexeev081 [22]
3 years ago
5

Identify the vertex of the parabola y = x^2-2x-3

Mathematics
1 answer:
melisa1 [442]3 years ago
7 0

Answer:

(2, -3)

Step-by-step explanation:

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WILL MARK BRAINLIEST!!!!!! PLEASE SHOW ALL WORK NESSISARY!!! SHOW FULL SOLUTIONS!!!!!! THANKS AND GOD BLESS!!!!
Irina-Kira [14]

9514 1404 393

Answer:

  k = -1

Step-by-step explanation:

Put the given value of x in the equation, and solve the resulting equation for k.

  2(5 -3) +k(1 +2·5) = k - 5 - 1

  2(2) +k(11) = k -6 . . . . simplify a bit

  10k = -10 . . . . . . . . . . add -4-k to both sides

  k = -1 . . . . . . . . . . . . . divide by 10

The value of k is -1.

_____

<em>Check</em>

Use k = -1 in the original equation and solve for x.

  2(x -3) -(1 +2x) = -1 -x -1

  2x -6 -1 -2x = -x -2 . . . . eliminate parentheses

  x = 7 -2 = 5 . . . . . . add x+7; answer checks OK

8 0
3 years ago
Determine whether (2, - 1) and (-4, 2) satisfy the inequality 2x – 3y &gt; 4.
Xelga [282]

Answer:

emngtehrge

Step-by-step explanation:

egrbrrg

7 0
3 years ago
Which of the following points are on the line given by the equation y = 5x?
ivanzaharov [21]

Answer:

C and E

Step-by-step explanation:

To answer this question, we plug in the X values of the coordinates into the equation to see if they'll give us the corresponding Y value.

(X, Y)

Example:

Y = 5X

6 != 5 * 3

We do this for every coordinate point. If the problem doesn't make sense, it doesn't fall on the line. Let's test every one of these.

B. (0, 1)

1 != 5 * 0

C. (3, 15)

15 = 5 * 3

D. (4, 2)

2 != 5 * 4

E. (-1, -5)

-5 = 5 * -1

F. (-1, 5)

5 != 5 * -1

* For those who don't know, the !=  is how to say "not equal to" in computer science.

3 0
3 years ago
In trapezoid $ABCD$, $\overline{AB}$ is parallel to $\overline{CD}$, $AB = 7$ units, and $CD = 10$ units. Segment $EF$ is drawn
Mekhanik [1.2K]

Answer:

EF = 58/7

Step-by-step explanation:

If you extend both BC and AD to meet at P you get 3 similar triangles PAB, PEF, and PCD. Let's call BF = 3x and FC = 4x. Therefore the following proportions can be expressed:

BP/7 = (BP+7x)/10

10BP = 7*(BP+7x)

10BP = 7BP+49x

3BP = 49x

BP = (49/3)x

BP/7 = (BP+3x)/EF

EF = (BP+3x)*7/BP

EF = ((49/3)x + 3x)*7/((49/3)x)

EF = ((58/3)x*7*3)/(49x)

EF = 58/7

3 0
3 years ago
When do u evaluate exponents in the order of operations?? <br> Pls help I got 9 minutes to do this
wlad13 [49]

Answer: Great more than happy to help!

Exponents come 2nd in line for PEMDAS (order of operations).

Once you finish the parenthesis, you move on to the exponents.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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