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3 years ago

What is the value of x please help me

Mathematics

1 answer:

Tju [1.3M]3 years ago

7 0

Answer:

Step-by-step explanation:

ΔLMN and ΔPMQ are similar. Therefore thw sides are in proportion:

$\dfrac{LM}{PM}=\dfrac{NM}{QM}$

We have:

LM = 3 + 9 = 12

PM = 9

NM = x + 12

QM = 12

Substitute:

$\dfrac{12}{9}=\dfrac{x+12}{12}$ <em>cross multiply</em>

$9(x+12)=(12)(12)$

$9(x+12)=144$ <em>divide both sides by 9</em>

$\dfrac{9(x+12)}{9}=\dfrac{144}{9}$

$x+12=16$ <em>subtract 12 from both sides</em>

$x=4$

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Y - X=-5<br> y = 2x2-3x-5<br> PLEASE HELP AND SHOW WORK <br> (substitution)

nikdorinn [45]

Answer:

Step-by-step explanation:

y - x = -5

y = x-5

y = 2x² - 3x - 5

x-5 = 2x² - 3x - 5

2x² - 4x = 0

x² - 2x = 0

x(x - 2) = 0

x = 2, 0

(x,y) = (2,-3), (0,-5)

8 0

3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

velikii [3]

Answer:

The maximum value= 36

Minimum value = - 36

Step-by-step explanation:

Given that

f(x, y, z) = 8 x + 8 y + 4 z

h(x,y,z)=4 x² + 4 y² + 4 z² - 36

From Lagrange multipliers

Δf = λ Δh

Δf = < 8 ,8 , 4>

Δh = < 8 x ,8 y , 8 z>

Δf = λ Δh

< 8 ,8 , 4> = < 8 λ x ,8 λ y , 8 λ z>

8 = 8 λ x -------------1

8 = 8 λ y ---- ------2

4 = 8 λ z ----------------3

From equation 1 ,2 and 3

Now by putting the value of x,y and z in the following equation

4 x² + 4 y² + 4 z² = 36

$4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{(2\lambda)^2 }=36$

$\dfrac{4}{\lambda^2 }+ \dfrac{4}{\lambda^2 }+ \dfrac{1}{\lambda^2 }=36$

So the value of λ is

$\lambda =\pm \dfrac{1}{2}$

When λ = 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= 2 , y = 2 , z=1

f(x, y, z) = 8 x + 8 y + 4 z

f(2, 2, 1) = 8 x 2 + 8 x 2 + 4 x 1

f(2, 2, 1) =36

When λ = - 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= - 2 , y = - 2 , z= - 1

f(x, y, z) = 8 x + 8 y + 4 z

f(-2, -2, -1) = 8 x (-2) + 8 x (-2) + 4 x (-1)

f(-2, -2, -1) = - 36

The maximum value= 36

Minimum value = - 36

7 0

3 years ago

Read 2 more answers

Which of the following uses the distributive property correctly? 9(m – 2) = 9(m) – 9(2) 9(m – 2) = 9(m) – 2 9(m – 2) = 9 – 9(2)

alexira [117]

Its 9m-9(2) make sure to think of the minus sign as a negative because it will equal 9m-18 not 9m+18

3 0

3 years ago

Generate the first 7 terms of the sequence defined by Q = 3n+ 5.

d1i1m1o1n [39]

Answer:

8,11,14,17,20,23,26

Step-by-step explanation:

Q = 3n+ 5

an=3n+5

a1=3(1)+5=8

a2=3(2)+5=11

a(3)=3(3)+5=14

a4=3(4)+5=17

a5=3(5)+5=20

a6=23

a7=26

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3 years ago

Two squares overlap. The area of the overlapped region is 1/4 of the small square's area and is 2/9 of the large square's area.

guajiro [1.7K]

Answer:

Step-by-step explanation:

.25+.24+2^=1.8-25/2=12

7 0

3 years ago