PLEASE help with these math questions

Answers

Answer 1

Answer: all of these are applications of the distance formula
remember a^2+b^2=c^2
so the distance (c) is $\sqrt{a^(2)+b^(2)}$
a and b are legnths of legs so we find the legnths

the distance between points (x1,y1) and (x2,y2) is

D= $\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}$
input points and find distance

1. (3,5) ot (7,3)
D= $\sqrt{(7-3)^(2)+(3-5)^(2)}$ =√(16+4)=√20=4.47
answer is A

2. (-3,-2) to (4,6)
D= $\sqrt{(4-(-3))^(2)+(6-(-2))^(2)}$ =√(49+64)=√113=10.63
answer is 10.6 units

3. from (1,7) to (9,-2)
D= $\sqrt{(9-1)^(2)+(-2-7)^(2)}$ =√(64+81)=√145=12.04
answer is B

4. (-1,-2) to (6,2)
D= $\sqrt{(6-(-1))^(2)+(2-(-1))^(2)}$ =√(49+16)=√65=8.06
round
8.1 units

5. apply multipule times
A=(2,2)
B=(12,2)
C=(9,8)
D=(2,8)
find the distance between
A to B
B to C
C to D
D to A
we can see the distances between AB, CD and AD easily
just since 1 variable doesn't change, we just find the change in the other variable
AB=10 units
CD=7 units
DA=6 units
now
CB is from (12,2) to (9,8)
D= $\sqrt{(9-12)^(2)+(8-2)^(2)}$ =√(9+36)=√45=6.7

add everybody
AB+BC+CD+DA=10+6.7+7+6=29.7
we see that they put a trick and see option D, the not careful people will chose that but the quesiton askes for the perimiter

answer is B

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Tomas ran 2 miles at track practice. Satomi ran 50 yards more than half as far as Tomas. How many yards did Satomi run?

Answers

70.4yd because 2 miles=3,520yd and if you divide 3520 by 50 you would get 70.4 therefore your answer is 70.4

Julio walks 3 1/2miles in 1 1/4hours

Answers

So, you have to turn the fractions into decimals so..
3 1/2 = 3.5
1 1/4 = 1.25
Then divide and you'll get 2.8.

Pedro cut a sheet of poster board into 10 equal parts. His brother used some of the poster board and now 8/10 is left. Pedro wants to make a sign fromeach remaining part of the poster board. How many signs can he make?

Answers

Answer: 8

Step-by-step explanation:

Given: Pedro cut a sheet of poster board into 10 equal parts.

let x be the total sheet.

then, one part of sheet= $(1)/(10)$ of the sheet

Now, His brother used some of the poster board and now 8/10 is left.

Therefore, if Pedro wants to make a sign from each remaining part of the poster board.

then, The number of signs he can make= $(8)/(10)/ (1)/(10)=(8)/(10)*(10)/(1)=8$

Hence, Pedro can make 8 signs.

out of the 10 his brother took two sheets out of the 10 that would leave him with 8 out of 10,left

What is 8/10 as hundredths in fraction form and decimal form?

Answers

In hundreths in fraction form, you want 100 on the denominator (bottom)
in order to do this, multiply the top and the bottom number by 10
8/10=80/100

to get to decimal form, since your fraction is already out of 100, take the 80 and put a decimal two places to the right
80->.8

Answer:

80/100 and 0.8

Step-by-step explanation:

You would do 8/10 and multiply both by 10 and that would give you 80/100. Mainly because 10x10 is 100 and 8x10 is 80.

To get the decimal form, divide 8 by 10 and it should give you 0.8 just like that. C:

!Kayla! :)

Find k if (x-3) is a factor of $k^(2) x^(2) -kx-2$ .

Answers

$w(x)=k^2x^2-kx-2\n\n(x-3)\ is\ a\ factor\ w(x)\ then\ w(3)=0.\n\nSubstitute:\n\nk^2\cdot3^2-k\cdot3-2=0\n9k^2-3k-2=0\n9k^2-6k+3k-2=0\n3k(3k-2)+1(3k-2)=0\n(3k-2)(3k+1)=0\iff3k-2=0\ \vee\ 3k+1=0\n3k=2\ \vee\ 3k=-1\n\n\underline{\underline{k=(2)/(3)\ \vee\ k=-(1)/(3)}}$

k can be (-1/3) or (2/3).
since (x-3) is a factor. if you put x=3 in the equation, it must be equal to zero. So the equation becomes (9k2 - 3k -2 = 0). if you solve this you will get k=(-1/3) and k=(2/3). You can substitute this k in the original equation and check, (x-3) is a factor.

Why are the equations w - x + x = w and w + x - x = w called identities?

Answers

They are indentical because the only thing that switched was the addition sign, and subtraction sign. If you look closely.

Identities have the same solution, and they are also called 'infinities'. That is because they include many solutions.