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aliina [53]
3 years ago
8

Write an equation in point-slope form of the line that passes through (-3, 2) and (6, - 1)

Mathematics
1 answer:
Gnesinka [82]3 years ago
6 0

Answer:

y - 2 = -1/3 (x + 3)

Step-by-step explanation

Sorry!

 Point-slope form )

Slope = (-1 -2)/(6 - (-3)

Slope = -3/9

Slope = -1/3

 Using the point-slope formula and point (-3, 2)

y - 2 = -1/3(x - (-3)

y - 2 = -1/3 (x + 3)  This is = to y = -1/3(x + 3) +2

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Find the general solution of the given differential equation. x2y' + xy = 8 y(x) = give the largest interval over which the gene
topjm [15]
x^2y'+xy=8
xy'+y=\dfrac8x
(xy)'=\dfrac8x\implies xy=8\ln|x|+C\implies y=\dfrac{8\ln|x|}x+\dfrac Cx

which wouldn't be a valid solution over any interval containing x=0.
5 0
3 years ago
35 of the apartments have a balcony and 55 of them don't. An apartment is randomly selected as part of a survey. What is the pro
kobusy [5.1K]

Answer:

39%

Step-by-step explanation:

It is given that 35 apartments have balconies in them.

While 55 apartments do not have balconies in them.

Total number of balconies is the sum of the apartments. i.e. 35 + 55

                                                                                             = 90 apartments

Therefore for the survey when an apartment is randomly selected, the percentage of the probability of the apartment to have a balcony can be found out by dividing 35 by 90 and then multiply by 100.

i.e.

$=\frac{35}{90}$

= 0.38888888

Multiplying by 100, we get

= 0.388888 x 100

= 38.8888 %

= 39 %

3 0
3 years ago
In triangle ABC shown below, side AB is 8 and side AC is 6: Triangle ABC with segment joining point D on segment AB and point E
RSB [31]
For the segment DE to be the midsegment of the triangle ABC, the point D must cut AB in two equal halves, and point E must cut AC in two equal halves as well, that way, DE touches both ends right in the middle

and that can only occur if AD is 4 (half of 8) and AE is 3 ( half of 6)
7 0
3 years ago
Read 2 more answers
Tim,Griff and Kay baked chocolate for Kay s birthday party.Tim baked 3 times as many as Kay.Griff baked half as many as Tim.Alto
lianna [129]
Answer: 48

------------------------------------------------------------------------------
Define the number of cakes they baked in term of x
------------------------------------------------------------------------------
Let the number of cakes Kay baked be x

Kay = x
Tim = 3x                ← Tim baked 3 times as many as Kay
Griff = 1.5x            ← Griff baked 1/2 as many as Tim

------------------------------------------------------------------------------
Construct the equation and solve for x
------------------------------------------------------------------------------
The total number of cakes baked was 88.

x + 3x + 1.5x = 88        ← Combine like terms
5.5 x = 88                     ← Divide by 5.5
÷5.5    ÷5.5
x = 16

------------------------------------------------------------------------------
Find the number of cakes each baked
------------------------------------------------------------------------------
Kay = x = 16
TIm = 3x = 16 x 3 = 48
Griff = 1.5x = 1.5(16) = 24

------------------------------------------------------------------------------
Answer: Tim baked 48 cakes.
------------------------------------------------------------------------------
3 0
4 years ago
-3(4x+5) simplifies to Ax+b where
Luden [163]

-12+-15.................

3 0
4 years ago
Read 2 more answers
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