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Vadim26 [7]
2 years ago
8

Select all equations whose graphs have a vertex with x-coordinate 2

Mathematics
1 answer:
iren2701 [21]2 years ago
8 0

Answer:

C

Step-by-step explanation:

because you have to foil then do -b/2a

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How do you solve this?
puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let x represent the width.

Since the length is 7 feet longer, we can represent the length by x+7.

Now that we have our values for the length and the width we can multiply them together to find our area.

(x)(x+7)=x^{2} +7x

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

(x+7)(x+14)

And multiply our area by 3.

3(x^{2} +7x)

set these equal to each other to find your new equation.

(x+7)(x+14)=3(x^{2} +7x)

Now you need to solve for x. To do this first muliply (x+7) and (x+14).

(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98

Then multiply 3(x^{2} +7x)

3(x^{2} +7x)=\\3x^{2} +21x

Now you can begin solving for x.

x^{2} +21x+98=3x^{2} +21x

Subtract x^{2} from both sides.

21x+98=2x^{2} +21x

Subtract 21x from both sides.

98=2x^{2}

Divide by 2.

49=x^{2}

And finally take the sqaure root of both sides.

\sqrt{x^{2} }=\sqrt{49}\\x=7

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 <em>and</em> -7, in this case we <em>only </em>get +7.

Now that we have the value of x, we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

7 0
3 years ago
What category does -1/3 belong in? (Select all that apply) Rational Number Rational Number Integer Number Integer Number Natural
Aleksandr [31]

Answer:

1/3 is a rational number

Step-by-step explanation:

4 0
3 years ago
Jada paints a circular table that has a diameter of 37 inches.
mojhsa [17]

Answer:

girl im over here trying to find the same answer

Step-by-step explanation:

6 0
2 years ago
Huh?<br><br>6(2 + 4) - 1<br>_________<br>2 x 3 + 1​
a_sh-v [17]

Answer:

equaul

Step-by-step explanation:

4 0
3 years ago
Try to slove this question for me please
cestrela7 [59]
C. s is your answer.

The sum of 2 angles on a straight line (supplementary angles) is 180°. Vertical angles (opposites where a line intersects) are equal.

The upper left and lower right angles where p crosses the other lines (q, r, t) are 105°.

180 - 105 = 75°

So the upper right and lower left angles are 75°. The lower left angle where p intersects s is 85°, so it is not parallel to the others.

Please let me know if you have any questions.
6 0
3 years ago
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