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Delvig [45]
3 years ago
14

Help me solve this problem please

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

JL = 54

Step-by-step explanation:

JL = JK + KL

JK = KL

8x+11 =14x-1

12 = 6x

x = 2

substitute for x:

8(2)+11 + 14(2)-1 = JL

JL = 16+11+28-1

JL = 54

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Segment PH is graphed on the coordinate grid where P is (-31,8) and H is (29,-10). Point E is the midpoint of segment PH. If poi
maks197457 [2]

Answer:

The coordinates of point A are (-11 , 2)

Step-by-step explanation:

- The coordinates of point P are (-31 , 8)

- The coordinates of point H are (29 , -10)

- Point E is the mid-point of segment PH

- The coordinates of the the mid-point are:

→ x=\frac{x_{1}+x_{2}}{2} and y=\frac{y_{1}+y_{2}}{2}

∵ E is the mid-point of segment PH

∴ The x-coordinate of point E is x=\frac{-31+29}{2}=-1

∴ The x-coordinate of point E is -1

∴ The y-coordinate of point E is y=\frac{8+-10}{2}=-1

∴ The y-coordinate of point E is -1

∴ The coordinates of point E are (-1 , -1)

- Point A is graphed \frac{2}{3} of the way along the segment from P to E

- That mean the distances from points P to A is 2 parts and from P to E

  is 3 parts, then the distance from A to E is "3 - 2" = 1 part

- So point A divides the line segment PE at ratio 2 : 1 from P

- The coordinates of the division point are:

→ x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}} and y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}

∵ Point A divides PE at ratio 2 : 1

∵ The coordinates of point P are (-31 , 8)

∵ The coordinates of point E are (-1 , -1)

∴ The x-coordinate of point A is x=\frac{(-31)(1)+(-1)(2)}{2+1}= -11

∴ The x-coordinate of point A is -11

∴ The y-coordinate of point A is x=\frac{(8)(1)+(-1)(2)}{2+1}=2

∴ The y-coordinate of point A is 2

∴ The coordinates of point A are (-11 , 2)

* The coordinates of point A are (-11 , 2)

3 0
3 years ago
Based on the information below what are the values of x and y of the solution to the system of equations used to create the info
Grace [21]

Answer:

<em>(D). x = 2 , y = - 5</em>

Step-by-step explanation:

A = - 8 + 48 = 40

A_{x} = -76 + 156 = 80

A_{y} = 104 - 304 = - 200

<em>x =</em> \frac{A_{x} }{A} = <em>2</em>

<em>y =</em> \frac{A_{y} }{A} = <em>- 5</em>

<u><em>( 2, - 5 )</em></u>

3 0
3 years ago
Read 2 more answers
Give me the answer pll
STatiana [176]
Product means multiply, a number means any variable so 6x is the answer 
3 0
3 years ago
Solve 1/2cot(x)&gt;=1/2 over 0&lt;=x&lt;=2pi
RSB [31]

9514 1404 393

Answer:

  (0, π/4] ∪ (π, 5π/4]

Step-by-step explanation:

Multiplying by 2 gives ...

  cot(x) ≥ 1

The cotangent function decreases from ∞ to 1 in the domain (0, π/4], and again in the domain (π, 5π/4]. The solution is the union of these two intervals.

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_____

(a, b] is interval notation for a < x ≤ b

3 0
3 years ago
Find the value of y in the given triangle
Andre45 [30]

Given:

In the given triangle,

With respect to y, Perpendicular = 10 cm and Base = 8 cm

To find the value of y.

Formula

By Trigonometric Ratio we get,

tan\theta = \frac{Perpendicular}{Base}

Now,

Putting the values of perpendicular and base we get,

tan\theta = \frac{10}{8}

or, \theta = tan^{-1} (\frac{10}{8})

or, \theta = 51.34 ^\circ

Rounding off to the nearest tenth, we have;

\theta = 51.3 ^\circ

Hence,

The value of y is 51.3°.

7 0
3 years ago
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