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3 years ago

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:

(D). x = 2 , y = - 5

Step-by-step explanation:

A = - 8 + 48 = 40

$A_{x}$ = -76 + 156 = 80

$A_{y}$ = 104 - 304 = - 200

x = $\frac{A_{x} }{A}$ = 2

y = $\frac{A_{y} }{A}$ = - 5

( 2, - 5 )

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)>=1/2 over 0<=x<=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.

x ∈ (0, π/4] ∪ (π, 5π/4]

_____

(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