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defon
3 years ago
12

What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equation is y=x2+3 ?

Enter your answer in the box
Mathematics
2 answers:
Nonamiya [84]3 years ago
7 0
<span>Perpendicular lines' slopes are reciprocals of one another. So we know the perpendicular line will have a slope of 1/2. Then we can use our points to find the rest. 8=1/2(1)+b 8=0.5+b 7.5=b y=2x+b</span>
Marta_Voda [28]3 years ago
7 0

After adding everything together you should get y=-2x+10

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Which of the following represents a quadratic function?
Lubov Fominskaja [6]

<u>Answer:</u>

○ y = 6 + 5x + x^2

<u>Explanation:</u>

<h3>What is a quadratic equation?</h3>

A quadratic equation is an algebraic equation where the highest power of x is 2. The general form of a quadratic equation is as follows:

\boxed{ax^2 + bx + c = 0},

where <em>a</em>, <em>b</em>, and <em>c</em> represent known constants, and x is the unknown.

In this question, if you take a look at the second option, you will see that it is possible to rearrange the equation to make it look the general form:

y = 6 + 5x + x^2

⇒ y = x^2 + 5x + 6

Therefore, this equation is quadratic.

The other three options are not quadratic equations because none of them have an x^2  term in them.

3 0
2 years ago
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Find the vertex of the following quadratic function f(x)=x^2+2x+1
Usimov [2.4K]

Answer:

The answer is that the vertex is: (1, 0)

Step-by-step explanation:

Use the "Completing the Square Method":

(x - h)^2 - k = 0, the vertex is (h, -k)

Complete the square:

x^2 + 2x + 1 = 0

x^2 + 2x = -1

(2/2)^2 = 1, add 1 to both sides of the equation.

x^2 + 2x + 1 = -1 + 1

(x + 1)^2 = 0

(x + 1)^2 - 0 = 0 (Just to put a placeholder in for he -k)

The vertex is (1, 0)

3 0
4 years ago
Math question 13 - 4x = 1 - x
stira [4]

Answer: x = 4

Step-by-step explanation:

To solve this problem, make use of the fact that you may add anything to an equation, as long as you do it to both sides.

Simply add 4x to both sides to get:

13 = 1 + 3x

Then simply add -1 to both sides to get:

12 = 3x

Then, divide both sides by 3 to get:

4 = x

Hope it helps :) and let me know if you want me to elaborate.

8 0
3 years ago
The least common multiple of 20,24 and 45 is
Murljashka [212]

Answer: hope this helps

Step-by-step explanation: 360

7 0
3 years ago
What is the final net price of a designer swimsuit, originally priced at $85, when the Fall discounts are 25/60 (hint: Find the
WINSTONCH [101]

Answer:

The final net price of a designer swimsuit is \$49.58

Step-by-step explanation:

Let

x-----> the final net price of a designer swimsuit

we know that

x=\$85[1-\frac{25}{60}]

x=\$85[\frac{35}{60}]

x=\$49.58

4 0
4 years ago
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