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s2008m [1.1K]
3 years ago
10

Please help me solve this geometry problem:)

Mathematics
1 answer:
yarga [219]3 years ago
8 0

Given:

The endpoints of a line segment are (-5,12) and (-5,0).

To find:

The coordinates of a points which divides the line segment in 2:1.

Solution:

Section formula: If a point divides a line segment in m:n.

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Let point P divides the given line segment in 2:1. They, by using section formula, we get

P=\left(\dfrac{2(-5)+1(-5)}{2+1},\dfrac{2(0)+1(12)}{2+1}\right)

P=\left(\dfrac{-10-5}{3},\dfrac{0+12}{3}\right)

P=\left(\dfrac{-15}{3},\dfrac{12}{3}\right)

P=\left(-5,4\right)

Therefore, the coordinate of the point that partitions the given segment in the ratio 2:1 are (-5,4).

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Perpendicular lines have slopes that are negative reciprocals of each other, that is, if one slope is a/b, the other slope is -b/a
the given line 3x-4y=24, 4y=3x-24, y=3/4x-6 has a slope of 3/4, so the slope of the perpendicular line has a slope of -4/3
y=(-4/3)x+b, b can be any number.
6 0
3 years ago
Find the 60th term of<br> the arithmetic sequence 4, -1, -6, ...
Tomtit [17]

Answer:

-291

Step-by-step explanation:

4+(-5)(n-1)=4-5*59=4-295=291

4 0
3 years ago
3. Solve the equation using square roots. If the equation has no real solution, write
noname [10]
3) x² - 121 = 0

x² = 121

x' = +√121

x' = 11

_______________

x'' = - √121

x'' = -11

Solution ⇒ S{-11 ; 11 } or (x-11)(x+11)

4) 4x² + 144 = 0

4x² = -144

x² = -144 / 4

x² = -36

x = √-36

No solution ⇒ S = ∅

5) z²+10z+21 = 0

Δ = 10² - 4(1)(21)

Δ = 100 - 84

Δ = 16

x' = (-10+4) / 2 = -6/2 = -3

x'' = (-10-4) / 2 = -14/2 = -7

Solution ⇒ S{ -7 ; -3} or (x+3)(x+7)
4 0
3 years ago
If a segment has an endpoint at (3, 2) and the midpoint at (-1, 2), what are the coordinates of the other endpoint?
Paraphin [41]
The other endpoint would have to be (-5,2), going off the definition of a midpoint. Since 3 is for units to the right of -1, that would mean that the other end point would have to be 4 units to the left, which is -5.
3 0
3 years ago
Read 2 more answers
Write one pair of brackets in this calculation so that the answer is correct. 5 + 2 × 7 – 4 = 11
BartSMP [9]

Answer:

5+2*(7-4) =11

Step-by-step explanation:

This expression was kind of trial and error for me seeing as I'm not really good at logic, but this is pretty basic. There are three possible places the parentheses can be placed (assuming each pair holds 2 terms);

(5+2)*7-4\\5+(2*7)-4\\5+2*(7-4)

The answer to the first expression would be 45, which is not equal to 11.

The answer to the second expression would be 15, which is also not equal to 11.

The answer to the last expression is 11, so that is the correct answer.

Hope this helped :D

- Shay

5 0
3 years ago
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