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scZoUnD [109]
4 years ago
14

What is scale factor

Mathematics
2 answers:
yawa3891 [41]4 years ago
6 0

Answer:

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one.


IRISSAK [1]4 years ago
5 0

Let's say you have a very small image you want to make larger. Also, let's say you want to keep the same proportions and shape. To enlarge an image, the scale factor would be greater than 1. For example, a scale factor of 2 means you make each side or dimension twice as big.

eg: a rectangle that starts off being 2 by 3 becomes 4 by 6, after you double each side

-----------------------------

Going in reverse, if the scale factor is between 0 and 1, say 1/2 = 0.5, then the image will get smaller.

Example: a 10 by 50 rectangle becomes 5 by 25 rectangle after you multiply each dimension by 0.5 (aka divide each dimension by 2).

---------------------------

So the general rule is if the scale factor is larger than 1, then the new image is larger. If the scale factor is less than 1 but greater than 0, then the image will get smaller.

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Find the slope and y-intercept of the line that is perpendicular to y = -x-1 and passes through the point (5,7).
Brums [2.3K]
So we have y=-x-1 this is the same as y=-1(x+1) so it has a slope of -1 this means any line perpendicular will have a slope of 1. now we use this with the point and point slope formula.
recall point slope formula is y-y1=m(x-x1) where (x1,y1) is a point and m is the slope so we find
y-7=1(x-5) we can simplify this into y intercept form by solving for y
so
y=x-5+7
y=x+2
so the line perpendicular has a slope of 1 and a y intercept of 2! :)
5 0
3 years ago
How many decimal places are in the product of 1.91 and 2.3? hurry dont have a lot of time!!
Phoenix [80]

Answer:

2 and 1

Step-by-step explanation:

1.91 - 2 decimals

2.3 - 1 decimal

8 0
3 years ago
Read 2 more answers
Which function produces an output of 5 for an input of -6?
kodGreya [7K]

Answer:

The answer is D

Step-by-step explanation:

Since the input is -6, you input it into the equation. That would make it f(-6)=-(-6)-1 which would be equivalent to f(-6)=6-1 , as the negatives at the beginning of the equation cancel each other out and make it positive. Then you solve and get 5, which is your output. Hope I could help :)

3 0
3 years ago
MATRECIES: Suppose ={u,v,w}⊆R3 is linearly independent. Determine if the set 4 ={u, v, v−w, u+v+w} is linearly independent or li
AlladinOne [14]

The set is linearly dependent.

To explicitly prove this, we need to show there is at least one choice of constants c_1,c_2,c_3,c_3\in\Bbb R such that

c_1 u + c_2 v + c_3(v-w) + c_4(u+v+w) = 0

or equivalently,

(c_1 + c_4) u + (c_2 + c_3 + c_4) v + (-c_3 + c_4) w = 0

which is the same as solving the system of equations

\begin{cases} c_1 + c_4 = 0 \\ c_2 + c_3 + c_4 = 0 \\ -c_3 + c_4 = 0 \end{cases}

From the first and last equations, we have c_1=-c_4 and c_3=c_4. Substituting these into the second equation leaves us with c_2-2c_1=0, and so the overall solution set is

c_1 = \dfrac12 c_2 = -c_3 = -c_4

for which there are infinitely many not-all-zero solutions.

3 0
2 years ago
The population density of the world is calculated by finding the ratio of the total number of people in the world to the area of
Romashka [77]

Answer:

51

Step-by-step explanation:

A = Surface area of the Earth = 1.5\times 10^8\ \text{km}^2

Total number of people on Earth = 7.594 billion as of 2018 = 7.594\times 10^9

We need to find the number of people living in each square km of land area.

So, we need to divide the number of people by the land area of the Earth.

1.5\times 10^8\ \text{km}^2=7.594\times 10^9\ \text{people}

\Rightarrow 1\ \text{km}^2=\dfrac{7.594\times 10^9}{1.5\times 10^8}

\Rightarrow 1\ \text{km}^2=50.63\approx 51\ \text{people}

So, 51 people will inhabit each square km of land area.

5 0
3 years ago
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