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
meriva
3 years ago
7

Line AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verif

y that Point X, with a coordinate of (6,6), divides Line AB in a 1:2 ratio?
Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

It is not recommended that points be marked with X, let's marked with C(6,6)=(Xc,Yc)

The coordinates of the point C(Xc,Yc) which belongs to the line AB and divides line AB in a ratio m : n = 1 : 2 or m/n=1/2 are get it with following formula

Xc=(Xa+(m/n)Xb) / (1+(m/n)) and Yc=(Ya+(m/n)Yb) / (1+(m/n))

We have A(2,2)=(Xa,Ya) and B(14,14)=(Xb,Yb)

When we replace given coordinates we get

Xc=(2+(1/2)*14) / (1+(1/2)) = (2+7) /(3/2) = 9/(3/2) = (9*2)/3 = 3*2 =6 => Xc=6

Yc=(2+(1/2)*14) / (1+(1/2)) = (2+7) / (3/2) = 9/(3/2) = (9*2)/3 = 3*2 =6 => Yc=6

C(Xc,Yc)=(6,6)

Good luck!!!



You might be interested in
In an arithmetic sequence, if a2= 5 and a10= 19 find a6
OLEGan [10]

Answer:

a₆ = 12

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = 5 and a₁₀ = 19 , then

a₁ + d = 5 → (1)

a₁ + 9d = 19 → (2)

Subtract (1) from (2) term by term to eliminate a₁

8d = 14 ( divide both sides by 8 )

d = 1.75

Substitute d = 1.75 into (1)

a₁ + 1.75 = 5 ( subtract 1.75 from both sides )

a₁ = 3.25

Then

a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12

6 0
2 years ago
I need some help with this
Mashutka [201]
The angle of elevation from the hiker to the park ranger is the same as the angle of depression from the ranger to the hiker, 29°.

The tangent function of an angle is the ratio of the opposite side (500') to the adjacent side (x) in the right triangle shown. That is
   tan(29°) = 500' / x

Multiplying the equation by x/tan(29°) gives
   x = 500' / tan(29°)
   x ≈ 500' / 0.5543
   x ≈ 902 ft
6 0
3 years ago
Indicate the equation of the given line in standard form.
Lorico [155]
We have that
<span>triangle ABC
where
A(-5, 5), B(1, 1), and C(3, 4) are the vertices

using a graph tool
see the attached figure

the hypotenuse is the segment AC

find the equation of the line AC
</span>A(-5, 5) C(3, 4) 
<span>
step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=</span>(4-5)/(3+5)-----> m=-1/8

step 2
with C(3,4) and m=-1/8
find the equation of a line
y-y1=m*(x-x1)-----> y-4=(-1/8)*(x-3)----> y=(-1/8)*x+(3/8)+4
y=(-1/8)*x+(3/8)+4----> multiply by 8----> 8y=-x+3+32
8y=-x+35
the standard form is Ax+By=C
so
x+8y=35
A=1
B=8
C=35

the answer is
x+8y=35


7 0
3 years ago
A baker sold 120 banana muffins and 60 blueberry muffins what was the ratio of banana muffins to blueberry muffin sold and
andrew-mc [135]

Answer:

120:60 or :=to

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
ANSWER QUICKLY! I GIVE BRAINLIEST!!
julsineya [31]

Answer:

(10,27)

Step-by-step explanation:

Hope this helps!!! :)

8 0
3 years ago
Other questions:
  • If one base angle of an isosceles trapezoid measures 42°, what is the measure of the other base angle?
    8·1 answer
  • Find two consecutive numbers whose squares differ by 45
    15·1 answer
  • Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angl
    6·1 answer
  • Solve the equation.<br> K3 = 1,000
    8·2 answers
  • 3. What is the volume of the figure?<br>A. 15 cm<br>B. 33 cm<br>C. 45 cm <br>D. 54 cm<br>​
    12·2 answers
  • In which of the following data sets is the mean equal to the mode?
    7·2 answers
  • Two more than 5 times a number,n, is greater than 3.
    6·2 answers
  • 10 times 250+45<br>NEED ANSWER ASAP. WILL MARK AS BRAINLEST!​
    9·1 answer
  • Marking brainliest <br><br> Can you give me an example on why it’s not foolish to fear ?
    14·2 answers
  • A company has 300 items to post, they have packages and
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!