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igor_vitrenko [27]
3 years ago
6

Is the point (1, -3) a solution to the system? Show all work

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer:

The point P(1,-3) is not a solution to the system.

Step-by-step explanation:

Given  \left \{ {{y-x+2}} \right.  

Let a point be P(1,-3)

Here x = 1 ; y = -3

Substituting the values of x,y in the function

\left \{ {{y-x+2}} \right.

For y<x-1

-3 < 1-1

-3<0 (True)

now for,

y>-x+2

-3 > -1 + 2

-3 > 1 (False)

Hence the point is not a solution to the system.

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Which expression is equivalent to (7^-8)(7^3)
suter [353]

Answer:

1/16807

Step-by-step explanation:

(7^-8)(7^3)=7^(-8+3)=7^-5=1/7^5=1/16807

7 0
3 years ago
A rectangle whose area is 180 square feet has a width that is 3 feet less than the length. Find the dimensions of the rectangle.
Yuliya22 [10]

Answer:

The length is 15\ ft

The width is 12\ ft

Step-by-step explanation:

we know that

The area of rectangle is equal to

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we have

A=180\ ft^{2}

so

180=LW -----> equation A

W=L-3 ------> equation B

substitute equation B in equation A and solve for L

180=L(L-3)

180=L^{2}-3L

L^{2}-3L-180=0

using a graphing tool------> solve the quadratic equation

The solution is L=15\ ft

see the attached figure

<em>Find the value of W</em>

W=15-3=12\ ft

4 0
3 years ago
Michelle and Michael checked some books out of the library. 20% of the books Michelle checked out were fiction books, and 40% of
alisha [4.7K]
Perctange is based on the total number. in this case you don't know it so you cant make such a guess.
6 0
4 years ago
Solve x= 12x + 15.<br> Do not include extraneous solutions.
ozzi

Answer:

x = 12x + 15 \\ 12x - x =  - 15 \\  \\ 11x =  - 15 \\ x =  -  \frac{15}{11}

4 0
3 years ago
Read 2 more answers
Find each measure m&lt;1, m&lt;2, m&lt;3
Tom [10]

Answer:

option 2.

m1 = 147°   m2 = 80°   m3 = 148°

Step-by-step explanation:

a flat angle has 180 °

m1 + 33 = 180

m1 = 180 - 33

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47 + 33 + x = 180

x = 180 - 47 - 33

x = 100

as they are two crossed lines the angle is reflected from the opposite side

48 + 100 + y = 180

y = 180 -100 - 48

y = 32°

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With the same principle as the previous one we know that the angle of a turn is 360 °, if we subtract the 2 known angles and divide it by 2 we will obtain the missing angle

m2 * 2 = 360 - 100*2

m2 = 160 / 2

m2 = 80

4 0
3 years ago
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