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LekaFEV [45]
3 years ago
5

Find equation of the line passing through the points (3,3) and (4,5)

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
5 0

Answer:

the answer is 69

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A leading medical journal has claimed that 71% of roller coaster rides get extreme anxiety just before the ride begins. A popula
Anastasy [175]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
The line l with equation x - 2y + 2 = 0 crosses the y-axis at the point P. The line
Sauron [17]

Answer:

Area of ΔPQR is 28 units²

Step-by-step explanation:

-P is the point with coordinates ( 0, y-intercept for line x-2y+2 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point P( 0, b)

x-2y+2 = 0, subtract x and 2 from both sides

-2y = -x-2, divide by -2 both sides

y= (1/2)x +1 so b=1 and P (0, 1)

-Q  is the point with coordinates ( 0, y-intercept for line 3x+y -15 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point Q( 0, b)

3x +y -15 =0, subtract 3x and add 15 to both sides

y= -3x +15 so b=15 and Q(0,15)

-R is the intersection of the two lines so is the solution of the system of equations y= (1/2)x +1 and y= -3x +15

(1/2)x +1 =  -3x +15, add 3x and subtract1

(1/2) x+3x = 15-1, combine like terms

(7/2)x = 14 , multiply both sides by 2

7x = 28, divide both sides by 7

x= 4

y= (1/2)x +1 = (4/2) +1 =3 so R(4,3)

- the area of ΔPQR is (base *height)/2

base= 15-1= 14

height = 4

A= (14*4)/2 = 14*2 = 28

6 0
2 years ago
On a Saturday the library checkout 52 books. If 24 of the books were fiction, what is the ratio of nonfiction books to fiction b
masya89 [10]

52 - 24 = 28

24 : 28 (fiction: nonfiction)

simplify

6 : 7

8 0
3 years ago
Read 2 more answers
What is the area of the shaded region <br> 1cm is in the middle
Archy [21]

Answer:

Area of the shaded region= 128.86\,cm^2

Step-by-step explanation:

Area of the shaded region=Area of the rectangle-Area of the circle

Area of rectangle= Length\times Width

Length=11\,cm\\Width=12\,cm

Area is:

           =11\times 12\\\\=132\,cm^2

Area of the circle = \pi \times r^2

r=1\,cm

As,        \pi =\dfrac{22}{7} =3.14

Area of the Circle is :

           =3.14\times 1 \times 1\\\\=3.14\times 1\\\\=3.14\,cm^2

Area of the Shaded region:

Area of the shaded region=132-3.14\\\\=128.86\,cm^2

5 0
3 years ago
Given m∠P = 38° and m∠O = 70°, find m∠1.<br><br><br>38  72  108  142
mote1985 [20]

Answer:

<h3>m∠1 = 72°</h3>

Step-by-step explanation:

We know: The sum of the measures of a triangle is 180°.

Therefore we have the equation:

m\angle P+m\angle O+m\angle 1=180^o

We have

m\angle P=38^o,\ m\angle O=70^o

Substitute:

38^o+70^o+m\angle 1=180^o

108^o+m\angle1=180^o       <em>subtract 108° from both sides</em>

m\angle1=72^o

6 0
3 years ago
Read 2 more answers
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