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gregori [183]
3 years ago
14

(3,4) and (12,19) find the equation of the line that passes through it

Mathematics
1 answer:
harina [27]3 years ago
5 0

Answer:

The equation of the line will be:

y=\frac{5}{3}x-1

Step-by-step explanation:

Given the points

  • (3, 4)
  • (12, 9)

Finding the slope between (3, 4) and (12, 9)

\left(x_1,\:y_1\right)=\left(3,\:4\right),\:\left(x_2,\:y_2\right)=\left(12,\:19\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{19-4}{12-3}

m=\frac{5}{3}

The equation of the line can be obtained using the point-slope form of the equation of the line

y-y_1=m\left(x-x_1\right)

substituting the values m = 5/9 and the point (3, 4)

y-4=\frac{5}{3}\left(x-3\right)

y-4+4=\frac{5}{3}\left(x-3\right)+4

y=\frac{5}{3}x-1

Therefore, the equation of the line will be:

y=\frac{5}{3}x-1

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2y = 4x + 8 4y = 4x + 20
mars1129 [50]
<span>2y = 4x + 8  ------> y = 2x + 4
 4y = 4x + 20 ------> y = x+5

2x+4 =x+5
x = 1
y=x+5=1+5=6

Check:
</span>2*6 = 4*1 + 8 , 12 =12 
 4*6 = 4*1 + 20, 24 =24<span>

x=1,y=6
(1,6)
</span>

6 0
3 years ago
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How can you use the number of inches in one foot to find the number of square inches in one square foot?
d1i1m1o1n [39]
There are 12 inches in 1 foot. You know that the area of a square is or base times hight. A square has the same base and height. So we can say (base)^2. If the base is 12 inches in this case 12^2 = 144. Answer: 144 square inches.
8 0
3 years ago
The perimeter of a rectangle is 64 units. Can the length x of the rectangle can be 20 units when its width y is 11 units?
Oksi-84 [34.3K]
B. No, the rectangle cannot have x = 20 and y = 11 because x + y ≠ 32

Perimeter = 2(l + w)
Perimeter = 64

Assuming: P = 64; w = 11 ; l = ?
64 = 2(l + 11)
64/2 = l + 11
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7 0
3 years ago
Pls help find shaded area
Pavlova-9 [17]
<h3>Exact area = 12pi - 9*sqrt(3)  square inches</h3><h3>Approximate area = 22.1106545749577 square inches</h3>

==========================================================

Work Shown:

Assuming the chord is horizontal along with the diameter, then this means the two smallest minor arcs are both 30 degrees each. This leaves the northern most arc to be 180-30-30 = 120 degrees in measure

A = area of northern sector (you can think of it as a pizza slize)

A = (angle/360)*pi*r^2

A = (120/360)*pi*6^2

A = 12pi

B = area of triangle

B = (1/2)*side1*side2*sin(included angle)

B = (1/2)*6*6*sin(120)

B = 18*sqrt(3)/2

B = 9*sqrt(3)

C = area of shaded region

C = A - B

C = 12pi - 9*sqrt(3)  .... exact area

C = 22.1106545749577 ... use a calculator to get the approximate area

6 0
3 years ago
If
UkoKoshka [18]

Answer:

-8n + 9

Step-by-step explanation:

Given that,

A = -3n + 2

B = 5n - 7

Before solving you have to know that,

( + ) × ( + ) = ( + )

( - ) × ( - ) = ( + )

( + ) × ( - ) = ( - )

Let us solve now.

A - B

-3n + 2 -(5n - 7)

-3n + 2 - 5n + 7

Combine like terms

-3n - 5n + 2 + 7

-8n + 9

Hope this helps you.

Let me know if you have any other questions :-)

5 0
2 years ago
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