1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PSYCHO15rus [73]
3 years ago
5

Find the equation of the line. Use exact numbers.

Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0

Answer:

y = $ \frac{1}{2} $x - 3

Step-by-step explanation:

Let the general equation of the line be y = ax + b

Note that the points (6,0) and (0,-3) lie on the line. That means, it should satisfy the equation of the line. We substitute the points on the equation of the line.

We would have:

$ 0 = 6a + b \hspace{25mm} ...(1) $

$ -3 = a(0) + b \hspace{20mm} ....(2) $

From (2), we get: b = -3

From (1), we have -6a = b

Substituting b = -3, we get:

-6a = -3

⇒ a = 1/2

Therefore, the equation of the line would become: y = 1/2x - 3

You might be interested in
Rafeeq bought a field in the form of a quadrilateral (ABCD)whose sides taken in order are respectively equal to 192m, 576m,228m,
Valentin [98]

Answer:

a. 85974 m²

b. 17,194,800 AED

c. 18,450 AED

Step-by-step explanation:

The sides of the quadrilateral are given as follows;

AB = 192 m

BC = 576 m

CD = 228 m

DA = 480 m

Length of a diagonal AC = 672 m

a. We note that the area of the quadrilateral consists of the area of the two triangles (ΔABC and ΔACD) formed on opposite sides of the diagonal

The semi-perimeter, s₁,  of ΔABC is found as follows;

s₁ = (AB + BC + AC)/2 = (192 + 576 + 672)/2 = 1440/2 = 720

The area, A₁, of ΔABC is given as follows;

Area\, of \, \Delta ABC = \sqrt{s_1\cdot (s_1 - AB)\cdot (s_1-BC)\cdot (s_1 - AC)}

Area\, of \, \Delta ABC = \sqrt{720 \times (720 - 192)\times  (720-576)\times  (720 - 672)}

Area\, of \, \Delta ABC = \sqrt{720 \times 528 \times  144 \times  48} = 6912·√(55) m²

Similarly, area, A₂, of ΔACD is given as follows;

Area\, of \, \Delta ACD= \sqrt{s_2\cdot (s_2 - AC)\cdot (s_2-CD)\cdot (s_2 - DA)}

The semi-perimeter, s₂,  of ΔABC is found as follows;

s₂ = (AC + CD + D)/2 = (672 + 228 + 480)/2 = 690 m

We therefore have;

Area\, of \, \Delta ACD = \sqrt{690 \times (690 - 672)\times  (690 -228)\times  (690 - 480)}

Area\, of \, \Delta ACD = \sqrt{690 \times 18\times  462\times  210} = \sqrt{1204988400} = 1260\cdot \sqrt{759} \ m^2

Therefore, the area of the quadrilateral ABCD = A₁ + A₂ = 6912×√(55) + 1260·√(759) = 85973.71 m² ≈ 85974 m² to the nearest meter square

b. Whereby the cost of 1 meter square land = 200 AED, we have;

Total cost of the land = 200 × 85974 = 17,194,800 AED

c. Whereby the cost of fencing 1 m = 12.50 AED, we have;

Total perimeter of the land = 576 + 192 + 480 + 228 = 1,476 m

The total cost of the fencing the land = 12.5 × 1476 = 18,450 AED

4 0
3 years ago
What is the vertex of y=-6(2.5-x)(x-5.5)?
Alex787 [66]
Hello : 

<span> y=-6(2.5-x)(x-5.5) = -6(2.5x -13.75 -x² +5.5x)
y = -6(-x²+8x -13.75)
 y = 6x²-48x+82.5
note : 
if f(x) = ax²+bx +c   the vertex is the point : ( -b/2a ; f(-b/2a))
a=6  b=-48 c = 82.5 .......calculate
-b/2a = -(-48)/2(6)= 4
f(4) =6(4)²-48(4)+82.5 =96 - 192 +82.5 = -13.5</span>
5 0
3 years ago
Help please, w-5-4= -8-6w+8w?​
balandron [24]

Answer:

w = -1

Step-by-step explanation:

  • w-5-4= -8-6w+8w                      ⇒ simplify
  • w - 9 = - 8 + 2w                          ⇒ add 9 - 2w to both sides
  • w - 2w = - 8 + 9                          ⇒ simplify
  • -w = 1                                           ⇒ multiply both sides by -1
  • w = -1                                           ⇒ answer
4 0
2 years ago
Read 2 more answers
1 – 4k – 5 = -5 +4- 7K + 6<br> K = 3<br> K= -5<br> K=0<br> K = -7
sveta [45]

Answer:

K=3

Step-by-step explanation:

1 - 4K = 4 - 7K + 6

1 - 4K = 10 - 7K

-4K + 7K = 10 - 1

3K = 9

3K/3 = 9/3

K = 3

4 0
2 years ago
(Score for Question 4 of 6 points)
LuckyWell [14K]

Answer:

a) On Desmos.

b)The solution set {-2,-2}

Step-by-step explanation:

For drawing a line on graph we require minimum two points.

we have,

y=2x+2

Put x = 0,we get

y = 2

∴ Let A (0,2)

Similarly

Put y = 0 we get

x = -1

∴ Let B (-1,0)

Now Draw  line AB

For y = -2

It is the line parallel to X axis where Y value is always -2

Now , by drawing these two lines we will get the intersecting point, and this intersecting point is the solution to the system. Let the point be C (-2,-2)

Here we substitute y= -2 in y = 2x + 2 we get

-2 = 2x +2\\2x=-4\\x=-2\\\therefore (-2,-2)

The solution is {-2,-2}

3 0
3 years ago
Other questions:
  • What is 78.74 rounded to the nearest tenth?
    15·2 answers
  • What is the domain of the relation?
    7·1 answer
  • Higher Order Thinking See Guy's work.
    7·1 answer
  • Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 10 percent simple interest per year.
    5·1 answer
  • 7/18 is closes to?<br><br>1/2<br><br>0<br><br>1
    12·1 answer
  • 3. Using the distributive property, write an equivalent expression. *<br> (5 Points)<br> 8(3x - 5)
    11·2 answers
  • Solve the following equaion.<br><br> 6x - 4 = 2 + 3x
    15·2 answers
  • What is the sum of the rational expression below? x-4/2x+3x/2x-1
    13·2 answers
  • Which property explains the step shown in solving the equation?8x − 15 + 6x = 10x − 18 ⇒ 8x + 6x − 15 = 10x − 18
    6·1 answer
  • PLEASE HELP!!!! Find the volume. Round to the nearest tenth, if necessary.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!