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valkas [14]
3 years ago
12

Give the equation of the line that passes through the points (4,6) and (-2,3)

Mathematics
2 answers:
loris [4]3 years ago
8 0

Answer:

D. y = 1/2x + 4

Step-by-step explanation:

Slope: (6-3)/(4--2) = 3/6 = 1/2

y = ½x + c

6 = ½(4) + c

6 = 2 + c

c = 4

y = ½x + 4

Nutka1998 [239]3 years ago
3 0

Answer:

y = 1/2x+4

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

    = (3-6)/(-2-4)

    = -3/-6

   =1/2

The equation of a line in slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

y =1/2x+b

Substitute one of the point into the equation

6 = 1/2(4) +b

6 = 2+b

b=4

y = 1/2x+4

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In circle T with m∠STU=54 and ST=18 units find area of sector STU. Round to the nearest hundredth.
victus00 [196]

Answer:

152.60 square units

Step-by-step explanation:

Area of the sector is expressed as;

A = theta/360 * Area of the circle

A =54/360 * 3.14*18²

A = 54/360 * 1,017.36

A = 54,937.44/360

A = 152.604

Hence the area of the sector to the nearest hundredth is 152.60 square units

8 0
3 years ago
Read 2 more answers
Jessica is a custodian at Oracle arena. She waxes 20 mi squared of the floor 3/5 of an hour. Jessica waxes the floor at a consta
Delicious77 [7]

Answer:

At The given rate, the area of floor that Jessica can wax is 33.3 m²

Step-by-step explanation:

Given as :

The area of floor waxed = 20 square meters

The time taken to waxed 20 square meters floor = \dfrac{3}{5} hours

Let The area of floor waxed per hour = A m²

<u>Now, Applying unitary method</u>

∵ In \dfrac{3}{5} hours, The  area of floor waxed = 20 m²

∴ In 1 hour , The area of floor waxed = \frac{20}{\frac{3}{5}} m²

I.e In 1 hour , The area of floor waxed = \frac{20\times 5}{3}m²

Or, In 1 hour , The area of floor waxed = \dfrac{100}{3} = 33.3 m²

Or, In 1 hour The area of floor waxed = A =  33.3 m²

Hence, At The given rate, the area of floor that Jessica can wax is 33.3 m² Answer

5 0
3 years ago
Please help with this!
ludmilkaskok [199]

Total of all frequencies:

5+8+1213+11= 49

Divide the frequency of 59-61 by total frequencies:

13/49 = 0.265 which rounds to 0.27

The answer is 0.27

3 0
3 years ago
What is the difference between the integers -11 and -<br> 3?
Ymorist [56]

Answer:

8

Step-by-step explanation:

subtract -3 from -11

-11--3

-8 then take the absolute value

8

4 0
3 years ago
Jamie was asked to make r the subject of the formula p=10(q-3r)/r Complete his answer
alexgriva [62]

Answer:

r = 10q/(p + 30)

so put p+30 in the blank

Step-by-step explanation:

p=10(q - 3r)/r

p = (10q - 30r)/r

pr = 10q - 30r

pr + 30r = 10q

r(p + 30) = 10q

r = 10q/(p + 30)

7 0
3 years ago
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