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3 years ago

A scale factor of less than one means

Mathematics

2 answers:

podryga [215]3 years ago

8 0

Answer:

The sides get smaller

Step-by-step explanation:

Because anything times 1 gets smaller and it's no different for scale factor

Vera_Pavlovna [14]3 years ago

5 0

Answer:

When the absolute value of the scale factor is less than one, a compression occurs. When the absolute value of the scale factor is equal to one, neither an expansion nor a compression occurs.

Step-by-step explanation:

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

2 years ago

Darius deposits $300 into a new savings account. The account earns interest at a rate of 2.18% every 6 months. How much money do

vlada-n [284]

At the end of the 6 months the balance would be 360.54

5 0

2 years ago

Using the functions presented in the example, how much can Cam expect to earn if he sells all the corn produced on 1.5 acres?

12345 [234]

Answer:

Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.

Step-by-step explanation:

Given : $C(a)=7500a-1500$ , $M(C)=0.9C- 50$ and $M(C(a))=6750a-1400$

To find : How much can Cam expect to earn if he sells all the corn produced on 1.5 acres?

Solution :

$C(a)=7500a-1500$

Substitute a=1.5,

$C(1.5)=7500(1.5)-1500$

$C(1.5)=11250-1500$

$C(1.5)=9750$

Now, taking function $M(C)=0.9C- 50$

Substitute C=9750,

$M(9750)=0.9(9750)- 50$

$M(9750)=8775- 50$

$M(9750)=8725$

Now, taking function $M(C(a))=6750a-1400$

Substitute a=1.5,

$M(C(1.5))=6750(1.5)-1400$

$M(C(1.5))=10125-1400$

$M(C(1.5))=8725$

Therefore, Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.

8 0

2 years ago

Graph: y-3=1/2 (x+2)

777dan777 [17]

Answer:

See below

Step-by-step explanation:

y-3=1/2(x+2) Indicates a graph with slope 1/2 that runs through the point (-2,3). I have graphed it below. Hope this helps!

6 0

2 years ago

Help with this math question

Art [367]

Answer: option J: 128 joules

Explanation:

1) From the table you try to find which relation best fits the data.

2) Your best first assumption is that the data may fit a proportional relation.

3) To prove that you find the ratio of Energy ouput to Amount of chemicals.

Doing that you find:
20 32 48 60
----- = ------- = ------ = ------ = 4
5 8 12 15

4) Then you have found a direct relation whose ratio is 4 joules / mol. So, you can apply that constant to the number of moles given:

Energy = 4 joules / mol × 32 mol = 128 joules

5 0

3 years ago