All categories

3 years ago

The graph of the equation x=y2+4is symmetric with respect to which of the following

Mathematics

2 answers:

ycow [4]3 years ago

5 0

<h2>Answer:</h2>

<u>The correct answer is option</u><u> (A) The x axis</u>

<h2>Step-by-step explanation:</h2>

If a function is symmetric with respect to the x-axis, then f (x) = - f (x). The following graph is symmetric with respect to the y-axis (x = 0). Note that if (x, y) is a point on the graph, then (- x, y) is also a point on the graph. As we can see from the attached graph it shows the same phenomenon.

lyudmila [28]3 years ago

3 0

Answer:

The x-axis

Step-by-step explanation:

The graph of the equation x=y2+4 is symmetric with respect to the x-axis.

To test for symmetry with respect to the x-axis we substitute -y in place of y and simplify the equation. If the resulting equation is identical to original one then the function is symmetric with respect to the x-axis;

$x=y^{2} +4\\x=(-y)^{2} +4\\x=y^{2} +4$

which is identical to the original equation

You might be interested in

What is the probability of spinning a 2 or 3 on a spinner with 5 sections and getting heads when flipping a coin?

qaws [65]

Answer:

20 percent

Step-by-step explanation:

20 percent

20% sorry if it's wrong

5 0

3 years ago

Find the number, if 35% of it is 5.5% of 56

USPshnik [31]

56*.055=3.08

3.08/.35=8.8

8.8 is your answer

6 0

3 years ago

For 25 points

notka56 [123]

(92+73+87+91)/4=x

92+73+87+91=343

343/4=86%

The average of the student’s grade is 86%

5 0

3 years ago

Read 2 more answers

Determine if line KM and line ST are ॥, ⊥, or neither: K(-5,1) , M(-2,-8), and S(12,14), T(20,-10) Parallel Perpendicular or nei

Black_prince [1.1K]

Answer:

The lines are parallel i.e. KM || ST

Step-by-step explanation:

Given

K(-5,1) , M(-2,-8), and S(12,14), T(20,-10)

In order to find if the lines are parallel, perpendicular or neither slope will be used.

The slope of any line which passes from two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

If two lines are parallel their slope is equal. If two lines are perpendicular the product of their slope is equal to -1

So, first slopes of both lines will be calculated.

Let m1 be the slope of KM

and

m2 be the slope of ST

$(x_1,y_1) = (-5,1)\\(x_2,y_2) = (-2,-8)$

Putting the values in the formula for slope

$m_1 = \frac{-8-1}{-2-(-5)}\\m_1 = \frac{-9}{-2+5}\\= \frac{-9}{3}\\= -3$

Putting the values in the formula for slope

$m_2 = \frac{-10-14}{20-12}\\= \frac{-24}{8}\\= -3$

As we can see that slope of both lines KM and ST are equal

i.e. m1 = m2 = -3

Hence,

The lines are parallel i.e. KM || ST

6 0

3 years ago

You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with

Scilla [17]

Answer:

26.25 bottles

Step-by-step explanation:

A flower garden in the form of trapezoid is shown. The length of longer base is labeled 18 feet, shorter base is 15 feet, height is 4 feet, and one leg is 5 feet.

Formula for perimeter of a trapezoid = Side a + side b + length a + length b

For the trapezium shown, its perimeter step 1,

we have to find the missing length

Length a

We are given height = 4 feet

Length of the longer base = 18 feet

Length of the shorter base = 15 feet

Different would give us the base of the right angle triangle

= 18 - 15 = 3 feet

Using Pythagoras Theorem we can find the side a = c

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

c = √25

c = 5 feet

Hence side a = 5 feet

Perimeter of the Trapezoid shown =

18 feet + 15 feet + 5 feet + 5 feet

= 38 feet.

From the question,

You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with a perimeter of 105 feet

Hence:

38 feet = 2 bottles

105 feet = x bottles

Cross y

= 38 × x = 105 × 2

= 38x = 105 × 2

x = 105 × 2/38

x = 26.25 bottles

26.25 bottles of fertilizer is needed to treat the garden with a perimeter of 105

3 0

3 years ago