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kobusy [5.1K]
2 years ago
12

What does perpendicular mean?​

Mathematics
2 answers:
zimovet [89]2 years ago
4 0

Answer:

a straight line at an angle of 90° to a given line, plane, or surface.

Step-by-step explanation:

Ede4ka [16]2 years ago
3 0

Answer:

<h3>Perpendicular means lines that intersect at a right ( 90 degrees) angle.</h3>

<h2>I HOPE IT HELPS ❤❤</h2>
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there are 120 students in a school marching band. they march in an array with the same number of students in each row. what are
Sloan [31]

Answer:

20 X 6

Step-by-step explanation:

20 X 6 = 120 I'm not smart but this is pretty easy

5 0
3 years ago
Classify each conic section and write its equations in standard form. Show work.
svp [43]

Answer:

The conic is ellipse of equation (x - 1)²/22 + (y + 4)²/44 = 1

Step-by-step explanation:

* Lets revise how to identify the type of the conic  

- Rewrite the equation in the general form,  

 Ax² + Bxy + Cy² + Dx + Ey + F = 0  

- Identify the values of A and C from the general form.  

- If A and C are nonzero, have the same sign, and are not equal  

 to each other, then the graph is an ellipse.  

- If A and C are equal and nonzero and have the same sign, then  

 the graph is a circle  

- If A and C are nonzero and have opposite signs, and are not equal  

then the graph is a hyperbola.  

- If either A or C is zero, then the graph is a parabola  

* Now lets solve the problem

The equation is 4x² + 2y² - 8x + 16y - 52 = 0

∴ A = 4 and C = 2 ⇒ same sign and different values

∴ The equation is ellipse

* The standard form of the ellipse is

  (x - h)²/a² + (y - k)²/b² = 1

- Lets try to make this form from the general form

- Group terms that contain the same variable, and move the

  constant to the opposite side of the equation

∴ (4x² - 8x) + (2y² + 16y) = 52

- Factorize the coefficients of the squared terms

∴ 4(x² - 2x) + 2(y² + 8y) = 52

- Complete the square for x and y

# To make completing square

- Divide the coefficient  of x (or y) by 2 and then square the answer

- Add and subtract this square number and form the bracket of

 the completing the square

# 2 ÷ 2 = 1 ⇒ (1)² = 1 ⇒ add and subtract 1

∴ 4[(x² - 2x + 1) - 1] = 4(x² - 2x + 1) - 4

- Rewrite as perfect squares ⇒ 4(x -1)² - 4

# 8 ÷ 2 = 4 ⇒ (4)² = 16 ⇒ add and subtract 16

∴ 2[(y² + 8y + 16) - 16] = 2(y² + 8y + 16)² - 32

- Rewrite as perfect squares ⇒ 2(y + 4)² - 32

∴ 4(x - 1)² - 4 + 2(y + 4)² - 32 = 52

∴ 4(x - 1)² - 4 + 2(y + 4)² = 32 + 4 + 52

∴ 4(x - 1)² + 2(y + 4)² = 88 ⇒ divide all terms by 88

∴ (x - 1)²/22 + (y + 4)²/44 = 1

8 0
3 years ago
Solve for d: 0.5(2d-6)=0.2(4x-10)
Law Incorporation [45]

Answer:d=0.8x+1

Step-by-step explanation:

To solve 0.5(2d-6)=0.2(4x-10)

Open the brackets

We get

d-3=0.8x-2

To make d the subject of formular

d=0.8x-2+3

d=0.8x+1

7 0
3 years ago
What transformations was not done to the linear parent function, f(x)=x to get the function g(x)=-1/3(x-7)+2?
Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i.e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0<d<1 it stretches it. By multipyling the variable x by a negative sign, we are reflecting with respect the x -axis. Finally when we add a number to the function, we are applying a vertical shift.

original function x.

1. (x-7): horizontal shift of 7 units to the right.

2. 1/3(x-7): Horizontal stretching by factor 1/3.

3.-1/3(x-7): Reflection with respect the x-axis

4.-1/3(x-7)+2: Vertical shift of two units up.

6 0
3 years ago
Two cars begin driving at different times. Choose the graph that correctly combines the graphs of Car A and Car B to show when C
Virty [35]

Answer:

This one.

Step-by-step explanation:

3 0
3 years ago
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