All categories

1 year ago

Point c partitions line segment AB in the ratio 1:3. What is the y-coordinate of c.

Mathematics

1 answer:

Veseljchak [2.6K]1 year ago

8 0

The y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

We have two points:

A(-4, -7), and B(12, 5)

Let's assume A(x1, y1) and B(x2, y2)

The ratio is 1:3 = m:n

Let's assume the y-coordinate is a

From the section formula:

$\rm a = \dfrac{my_2+ny_1}{m+n}$

$\rm a = \dfrac{1\times5+3\times(-7)}{1+3}$

a = -4

Thus, the y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

You might be interested in

A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or par

Verizon [17]

I think that the answer is letter a

4 0

3 years ago

If f(x)=7x+4x and g(x) =1/2x what is the value of (f/g)(5)

Aliun [14]

Answer:

(f/g)(5) = 22

Step-by-step explanation:

All we need to do is plug in 5 for x in both f(x) and g(x) then divide the result of f(x) and g(x) to find our final answer.

Step 1: Plug in 5 for x

f(x) = 7(5) + 4(5) = 55

g(x) = 1/2(5) = 2.5

Step 2: Divide f(x) by g(x)

f(5)/g(5) = 55/2.5 = 22

And we have our final answer!

4 0

2 years ago

Solve for x 19-24. find the measure of the angle indicated in bold for 25-28.

Elodia [21]

N 19)
angle (21x+6) is equal angle 90°-----> by alternate exterior angles
so
21x+6=90--------> 21x=84----------> x=4°

the answer N 19) is 4 degrees

N 20)
angle 75 is equal angle 11x-2-----> by corresponding angles
so
11x-2=75-----> 11x=77--------> x=7°

the answer N 20) is x=7 degrees

N 21)
angle 60 is equal angle (8x-4)------> by alternate interior angles
so
8x-4=60-----> 8x=64--------> x=64/8-----> x=8°

the answer N 21) is x=8 degrees

N 22)
angle (x+139) is equal to angle 132-----> by alternate interior angles
so
x+139=132-------> x=132-139--------> x=-7 °

the answer N 22) is x=-7 degrees

N 23)
angle (-1+14x) is equal to angle (12x+17)----> by alternate exterior angles
so
-1+14x=12x+17------> 14x-12x=17+1----> 2x=18----> x=9

the answer N 23) is x=9 degrees

N 24)
angle (23x-5) is equal to angle (21x+5)----> by corresponding angles
so
23x-5=21x+5-----> 23x-21x=5+5-----> 2x=10-----> x=5

the answer N 24) is x=5 degrees

N 25)
angle (x+96) and angle (x+96)-------> are supplementary angles
so
x+96+x+96=180--------->2x+192=180------> x=-6°
the angle indicated in bold is (-6+96)=90°

N 26)
angle (20x+5) and angle (24x-1)-------> are supplementary angles
so
20x+5+24x-1=180------> 44x=176-----> x=4°
the angle indicated in bold is (20*4+5)=85°

N 27)
angle (6x) is equal to angle (5x+10)--------> by corresponding angles
so
6x=5x+10------> 6x-5x=10------> x=10
the angle indicated in bold is (6*10)=60°

N 28)
angle (x+109) and angle (x+89) are supplementary angles
so
x+109+x+89=180----> 2x=-18-------> x=-9
the angle indicated in bold is (x+89)----> -9+89=80°

6 0

2 years ago

Amy read 8 more books than ben read. how many books did ben read

zaharov [31]

Answer:

(x+8)-x

Step-by-step explanation:

if amy is 8 more than ben

we dont know ben, so he is x

you have to subtract ben from amy

so amy is 8 more than ben, you have to add 8 to ben, who is x

6 0