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AysviL [449]
3 years ago
7

Solve the following system of equations -2x + y = 1 -4x + y = -1

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
6 0
1. x=<span><span><span>1/2</span>y</span>+<span><span>−1/</span><span>2
2. </span></span></span>x=<span><span><span>1/4</span>y</span>+<span>1/<span>4</span></span></span>
otez555 [7]3 years ago
6 0
X=1
Y=3 so -2 X 1 + 3 = 1
-4 X 1 + 3 = -1
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Please help i put a picture below
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

This is not nearly as threatening and scary as I first thought it was.  You must be in the section in Geometry where you are taught that perimeter of similar figures exist in a one-to-one relationship while areas of similar figures exist in a squared-to-squared relationship.  We will use that here.  

The area formula for a regular polygon is

A=\frac{1}{2}ap where a is the apothem and p is the perimeter.  We are first asked for the area of the polygon, but it would make more sense to find the perimeter first, since we need it to find the area.

P = 5(8) so

P = 40

We are given that the area of the triangle inside that polygon is 22.022 units squared.  Knowing that the area formula for a triangle is

A=\frac{1}{2}bh we can sub in what we know and solve to find the height:

22.022=\frac{1}{2}(8)h and

22.022 = 4h so

h = 5.5055 units

It just so happens that the height of that triangle is also the apothem of the polygon, so now we have what we need to find the area of the polygon:

A=\frac{1}{2}(5.5055)(40)

which gives us an area of

A = 110.11 units squared.

Here is where we can use what we know about similar figures and the relationships between perimeters and areas.  We will set up a proportion with the smaller polygon info on top and the larger info on bottom.  We know that the larger is 3 times the smaller, so the ratio of smaller to larger is

\frac{s}{l}:\frac{1}{3}

Since perimeter is one-to-one and we know the perimeter of the smaller, we can create a proportion to solve for the perimeter of the larger:

\frac{s}{l}:\frac{1}{3}=\frac{40}{x}

Cross multiply to get that the perimeter is 120 units.  You could also have done this by knowing that if the larger is 3 times the size of the smaller, then the side measure of the larger is 24, and 24 * 5 = 120.  But we used the way we used because now we have a means to find the area of the larger since we know the area of the smaller.

Area exists in a squared-to-squared relationship of the perimeter which is one-to-one.  If the perimeter ratio is 1:3, then the area relationship is

\frac{s}{l}:\frac{1^2}{3^2} which is, simplified:

\frac{s}{l}:\frac{1}{9}

Since we know the area for the smaller, we can sub it into a proportion and cross multiply to solve for the area of the larger.

\frac{s}{l} :\frac{1}{9} =\frac{110.11}{x}

A of the larger is 990.99 units squared

5 0
3 years ago
Jim is M years old. His daughter is 21 years yonger than him. How old is Jim's daughter. Express your answer in terms of M.
Gre4nikov [31]

Answer: M - 21


Step-by-step explanation:

Since his daughter is 21 years younger than he is (M) all you have to do is take his age and subtract 21 (how many years older he is) to get her age.


At first this might seem difficult because you don't know what M is equal to but in the context of this question you don't need to know M.

If you're ever stuck just give an imaginary number to M such as 50.

If you take 50 and subtract 21 you get 29, this makes sense because his daughter is of course younger than him.

You can also use this tatic to solve problems like x+3=x/2 (or something like that) just to check and make sure that the two equations do equal each other.

:)

5 0
3 years ago
Please help with this question, I need the help urgently
grin007 [14]

Answer:

P in terms of V is:

P = 432/V

Step-by-step explanation:

We know that y varies inversely as x, we get the equation

y ∝ 1/x

y = k/x

k = yx

where k is called the constant of proportionality.

In our case,

P is inversely proportional to V

Given

P = 18

V = 24

so

P = k/V

k = PV

substituting P = 18 and V = 24 to determine k

k = 18 × 24

k = 432

now substituting k = 432 in P = k/V

P =  432/V

Therefore, P in terms of V is:

P = 432/V

5 0
3 years ago
If anyone does ST math please help!!!
umka2103 [35]

Answer:

I'm not sure what your looking for but I can guess numbers missing is 2 and 3?

8 0
2 years ago
the function y =³√-x – 3 is graphed only over the domain of {x | –8 &lt; x &lt; 8}. what is the range of the graph? a). {y | –5
Fittoniya [83]
y=\sqrt[3]{-x}-3\ and\ x\in(-8;\ 8)\\\\subtitute\ x=-8\ and\ x=8\ to\ the\ equation:\\\\y=\sqrt[3]{-(-8)}-3=\sqrt[3]8-3=2-3=-1\\\\y=\sqrt[3]{-8}-3=-2-3=-5\\\\Answer:\boxed{\{y|-5 \ \textless \  y \ \textless \  -1\}}\to\fbox{b.}
7 0
3 years ago
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