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ch4aika [34]
3 years ago
11

In the first quadrant you start at 3,6 and move 4 units right and 2 units up what point would you end up on

Mathematics
2 answers:
Taya2010 [7]3 years ago
8 0

Answer:

(7,8)

Step-by-step explanation:

(x-axis) 4+3 (x-axis)=7

(y-axis) 6+2 (y-axis)=8

cupoosta [38]3 years ago
6 0

Answer:

(7,8)

Step-by-step explanation:

By moving 4 units right the x increases: 3+4=7. When moving 2 units up the y increases: 6+2=8.

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If f(x) = 2x - 7, what is the equation for f(x)<br> URGENT PLEASE ANSWER!<br> *see attachment*
Serhud [2]

Answer:

a

Step-by-step explanation:

inverse ----> y = x

x = 2y - 7

2y = x + 7

y = (x+7)/2

8 0
3 years ago
Mike bought five items for lunch that cost a total of $4.55. Hot dogs cost $1.10 each and cookies cost $0.75 each. Which of thes
Setler79 [48]

Answer:

1.1h+0.75c=4.55---------------1

h+c=5--------------2

Step-by-step explanation:

Step one:

given data

total lunch items= 5

let hot dogs be h

and cookies be c

cost of hot dogs = $1.10

cost of cookies = $0.75

total cost = $4.55

Step two:

The linear model for the total cost is given as

4.55=1.1h+0.75c---------------1

and the model for the number of items is

h+c=5--------------2

The systems of the equation for the situation is

1.1h+0.75c=4.55---------------1

h+c=5--------------2

6 0
2 years ago
I need help plz! It’s pre cal
Dmitry [639]

Please show a picture so that I can help you

3 0
3 years ago
14. You deposit $400 in a savings account that earns 7% interest compounded annually.
oksian1 [2.3K]

Answer:

A=p(1+r/100)^n

=400(1+7/100)^2

=400*1.14

=456

4 0
2 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
2 years ago
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