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Setler [38]
3 years ago
13

Please help. Explain how.

Mathematics
1 answer:
vekshin13 years ago
7 0

Answer:

y = \frac{4}{3} x +1

Step-by-step explanation:

1: find the perpendicular gradient - this is the negative reciprocal of the original gradient:

y=\frac{-3}{4}x+ 2 \\y=\frac{4}{3} x+c

2: Substitute in the coordinate to find the value of c:

y=\frac{4}{3}x +c\\5 = \frac{4}{3} (3) + c\\5 = 4+c\\c=1

3: Put it all together:

y=\frac{4}{3}x+1

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Write negations for each of the following statements. (Assume that all variables represent fixed quantities or entities, as appr
amm1812

Answer:

a. P is a square and P is not a rectangle

b. Today is New Year’s Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and either n is not odd or n is not 2.

e. x is nonnegative and either x is not positive or x is not 0.

f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.

Step-by-step explanation:

The general formula for negations that will be applied is:

Statement: If x is y, then x is z

Negation: x is y and x is not z

Statement: If x is y, then x is z and w

Negation: x is y and either x is not z or x is not w

Applying those principles:

a. P is a square and P is not a rectangle

b. Today is New Year’s Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and either n is not odd or n is not 2.

e. x is nonnegative and either x is not positive or x is not 0.

f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.

4 0
3 years ago
The perimeter of a rectangular flower garden is 66m and its area is 272m^2. Find the length of the garden.
ExtremeBDS [4]
So we have lengths a and b and are given:

2a+2b = 66 => a+b = 33 => a= 33-b
a*b = 272

plug in one into the other:

(33-b)b = 272 => -b^2 +33b - 272 = 0

Can be factored as (b-16)(b-17) = 0, if you don't "see" this immediately, use the well known abc formula to find b.

So a=16 and b=17 or vice versa.


6 0
3 years ago
Which pair of functions are inverses of each other?
harina [27]

Answer:

D.f(x)=2x-9and g(x)=X+9/2

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3 years ago
What inequality describes the solutions of 2y less than or equal to 8?
Tanzania [10]

Answer:

y\leq 4

Step-by-step explanation:

Start with the given

2y\leq 8\\

Divide the two on both sides to get

y\leq 4

8 0
3 years ago
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