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igor_vitrenko [27]
3 years ago
13

Which of the following options represents the form of a linear equation that should be used to write the equation of a line when

the slope and a point on the line are given?
Mathematics
1 answer:
OLga [1]3 years ago
5 0
If you know the slope and a point, the best option is to represent the line in the point-slope form which is:

(y-y1)=m(x-x1), where (x1,y1) is the point and m=slope
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LetF(x, y) be the statement "xcan fooly," where the domain consists of all people ofthe world. Use quantifiers to express each o
Sindrei [870]

Answer:

See steps below

Step-by-step explanation:

Let F(x, y) and W be

F(x,y) = “x can fool y”

W the set of all the people in the world

a) <u>Everybody can fool Fred.</u>

\forall x \in W,F(x, Fred)

b) <u>Evelyn can fool everybody.</u>

\forall y\in W, F(Evelyn, y)

c) <u>Everybody can fool somebody.</u>

\forall x \in W,\exists y :F(x,y)

d) <u>There is no one who can fool everybody</u>.

\nexists x \in W: \forall y ,F(x,y)

e) <u>No one can fool both Fred and Jennifer.</u>

\nexists x \in W: F(x,Fred)\wedge F(x,Jennifer)

f) <u>Nancy can fool exactly two people.</u>

\exists x,y \in W:\forall z\neq x,z\neq y, F(Nancy,x)\wedge F(Nancy,y)\wedge (\neg F(Nancy,z))

6 0
3 years ago
How do you solve this... 8=x-5/7
Anarel [89]
Add 5/7 on both sides.

It'll cancel out the negative 5/7, and it will make the x variable only equal to one number (Well, a mixed number.)
5 0
3 years ago
Read 2 more answers
Please help me! I'm having trouble solving this! In the △PQR, PQ = 39 in, PR = 17 in, and the height PN = 15 in. Find QR. Consid
Vlad [161]

Answer: 44

Step-by-step explanation:

we will find RN and NQ, then add together to give us RQ.

To find RN;

RP= 17 PN = 15 and RN =?

using pythagoras theorem,

adj^2 = hyp^2 - opp^2

RN^2 = RP^2 - PN^2

?^2 = 17^2 - 15^2

?^2 = 17^2 - 15^2

?^2 = 289 - 225

?^2 = 64

? = √64

? = 8

RN=8

To find NQ,

PN = 15 PQ=39 and NQ=?

using pythagoras theorem

NQ^2 = PQ^2 - PN^2

?^2 = 39^2 - 15^2

?^2 = 1521 - 225

?^2 = 1296

? = √1296

? = 36

NQ= 36

RQ = RN + NQ

RQ= 8 + 36

RQ=44

4 0
3 years ago
Consider the following functions:
Nina [5.8K]

Answer:

  1

Step-by-step explanation:

(f+g)(1) = f(1) +g(1) = -1 + 2 = 1

__

The pair (1, -1) in the definition of f tells you f(1) = -1.

The pair (1, 2) in the definition of g tells you g(1) = 2.

4 0
3 years ago
Alex originally paid $5200 for her car 1 year ago. The value of her car would is $4,420. What is the percent of decrease in the
horsena [70]

See the picture for the answer.



8 0
3 years ago
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