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3 years ago

The length of a nickel 2.1 cenimeters. what is the combined length of 2 nickels line by side by side

1 answer:

3 0

If one nickel is 2.1 centimeters, that would mean if you added 2.1 to itself you would get the length of 2 nickels:
2.1 + 2.1 = 4.2 centimeters

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Is 15 a factor or a multiple

Nady [450]

Answer:

Factors of 15 include 3 and 5; multiples of 15 include 30, 45, 60, etc.

Step-by-step explanation:

Factors and multiples are different things. But they both involve multiplication. Factors are what we can multiply to get the number. Multiples are what we get after multiplying the number by an integer

5 0

2 years ago

Q3: Identify the graph of the equation and write and equation of the translated or rotated graph in general form. (Picture Provi

natta225 [31]

Answer:

b. circle; $2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

Step-by-step explanation:

The given conic has equation;

$x^2-5x+y^2=3$

We complete the square to obtain;

$(x-\frac{5}{2})^2+(y-0)^2=\frac{37}{4}$

This is a circle with center;

$(\frac{5}{2},0)$

This implies that;

$x=\frac{5}{2},y=0$

When the circle is rotated through an angle of $\theta=\frac{\pi}{3}$ ,

The new center is obtained using;

$x'=x\cos(\theta)+y\sin(\theta)$ and $y'=-x\sin(\theta)+y\cos(\theta)$

We plug in the given angle with x and y values to get;

$x'=(\frac{5}{2})\cos(\frac{\pi}{3})+(0)\sin(\frac{\pi}{3})$ and $y'=--(\frac{5}{2})\sin(\frac{\pi}{3})+(0)\cos(\frac{\pi}{3})$

This gives us;

$x'=\frac{5}{4} ,y'=\frac{5\sqrt{3} }{4}$

The equation of the rotated circle is;

$(x'-\frac{5}{4})^2+(y'-\frac{5\sqrt{3} }{4})^2=\frac{37}{4}$

Expand;

$(x')^2+(y')^2-\frac{5\sqrt{3} }{2}y'-\frac{5}{2}x'+\frac{25}{4} =\frac{37}{4}$

Multiply through by 4; to get

$4(x')^2+4(y')^2-10\sqrt{3}y'-10x'+25 =37$

Write in general form;

$4(x')^2+4(y')^2-10x'-10\sqrt{3}y'-12 =0$

Divide through by 2.

$2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

8 0

2 years ago

A plumber charges $130 2 hours of work and $235 for 5 hours of workWhat is the of change in dollars per hour

Anna [14]

This isn’t possible.

3 0

2 years ago

A line has a slope of 2/3 and a y-intercept of −5. Which equations represent the line? Choose all answers that are correct. (MUL

marin [14]

A. -2x + 3y = -15
-2x + 2x + 3y = 2x - 15
3y = 2x - 15
3 3
y = ²/₃ - 5
A is correct.

B. y = ²/₃ - 5
B is also correct.

C. 6y = 4x - 30
6 6
y = ²/₃x - 5
C is also correct.

D. y + 3 = ²/₃(x - 3)
y + 3 = ²/₃(x) - ²/₃(3)
y + 3 = ²/₃x - 2
- 3 - 3
y = ²/₃x - 5
D is also correct.

The answer to the problem is A, B, C, and D.

7 0

2 years ago

I will mark BRAINLIEST IF CORRECT<br> ignore what i selected please help me

Andru [333]

Answer:

- 5/4

Step-by-step explanation:

4 0

1 year ago