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Tom [10]
3 years ago
15

Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line

Mathematics
2 answers:
Virty [35]3 years ago
5 0

Answer:

y+2=.25(x+3)

Step-by-step explanation:

The point slope form is shown as follows

y-y₁=m(x-x₁)

We know that the slope (m) is equal to .25 and that x₁=-3 and y₁=-2

We can plug this in and get

y-(-2)=.25(x-(-3))

Simplify the signs to get

y+2=.25(x+3)

 

alexira [117]3 years ago
3 0
The point-slope equation would be
y = 1/8x + 3/4
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Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.​
Jlenok [28]

Answer:

Step-by-step explanation:

Properties of a circumcenter;

1). Circumcenter of a triangle is a point which is equidistant from all vertices.

2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.

From the picture attached,

9). AG = GB = GC = 21

10). BC = 2(DC)

            = 2×16

            = 32

11). By applying Pythagoras Theorem in ΔGFB,

     GB² = GF² + FB²

     (21)² = GF² + (19)²

     441 = GF² + 361

     GF² = 441 - 361

     GF = \sqrt{80}

     GF = 8.9

12). By applying Pythagoras theorem in ΔGDB,

     GB² = DG² + BD²

     (21)² = (DG)² + (16)² [BD = DC = 16]

     DG² = 441 - 256

     DG = √185

     DG =  13.6

7 0
3 years ago
During the summer , you want to earn at least $150 per week. You can earn$10 per hour working for a farmer, and $5 per hour baby
almond37 [142]
X = nr. hrs working for a farmer;
y = nr. hrs. babysitting;
x + y <= 25;
10x + 5y >= 150

a) Solve the system => one of the solution is  x =5; y = 20(babysitting)
b) 10 + 12 =22 <= 25; 10*10 + 5*12 = 160 >=150.


7 0
4 years ago
Read 2 more answers
Sam drove 220 miles on 8 gallons of gas. find the unit rate.
zmey [24]

Answer:

27.5

Step-by-step explanation:

7 0
3 years ago
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students were asked to simplify the expression . two students' work is given. student a step 1: step 2: step 3: 1 tan2 θ step 4:
Whitepunk [10]

Student B is wrong , student A is correct in simplifying the expression .

Expression B must be simplified to cot θ .

Formulas to be used are :

1 - sin^{2} θ = cos^{2}θ

 1 - cot^{2}θ = tan^{2}θ .

Since , location of error is step 3 , we will start from there

[ ( 1 - sin^{2}θ ) / sin θ ] / cos θ    = [ ( 1 - sin^{2}θ ) / sin θ ] * [ 1 / cos θ ]

                          = ( 1 - sin^{2}θ ) / ( sin θ * cos θ )

               = cos^{2} θ / ( sin θ * cos θ )

                   = cot θ .

To know more on trigonometry follow link :

brainly.com/question/24349828

#SPJ4

Since , the question is incomplete we assume it to be :

6 0
2 years ago
Use the coordinates of the labeled point to find a point-slope equation of the line.
DerKrebs [107]

Answer:

(-2,-5) (0,-1)

(-1+5)/(0+2)= 4/2= 2

y + 5 = 2(x + 2)

y + 5 = 2x + 4

y = 2x - 1

Step-by-step explanation:

8 0
3 years ago
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