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2 years ago

Find the value of P.

Mathematics

1 answer:

Ludmilka [50]2 years ago

3 0

Answer:

p = 10

Step-by-step explanation:

The dashes on the lines show they are equal in length.

Therefore ΔRUL ≅ ΔAUL

and m∠RLU = m∠AUL

⇒ 5p - 8 = 2p + 22

⇒ 3p - 8 = 22

⇒ 3p = 30

⇒ p = 30÷ 3

⇒ p = 10

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Not sure how to do this. Help is much appreciated. :D

Free_Kalibri [48]

Answer:

m = √n/3 -k

Step-by-step explanation:

√n = 3(k + m)

=> √n/3 = k + m

∴ m = √n/3 -k

Hope this helps!!

6 0

3 years ago

Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{8},0)(± 8 ,0)(, plus minus, square root o

Alchen [17]

Answer:

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

Step-by-step explanation:

given the foci of ellipse (±√8,0) and c0-vertices are (0,±√10)

The foci are (-C,0) and (C ,0)

Given data (±√8,0)

the focus has x-coordinates so the focus is lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so c0-vertices are (0,±√10)

given focus C = ae = √8

Given co-vertices ( minor axis) (0,±b) = (0,±√10)

b= √10

The relation between the focus and semi major axes and semi minor axes are $c^2=a^2-b^2$

$a^{2} = c^{2} +b^{2}$

$a^{2} = (\sqrt{8} )^{2} +(\sqrt{10} )^{2}$

$a^{2} =18$

$a=\sqrt{18}$

The equation of ellipse formula

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

we know that $a=\sqrt{18} and b=\sqrt{10}$

Final answer:-

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

8 0

3 years ago

Read 2 more answers

A spider ate 25\%25%25, percent more bugs this month than last month. The spider ate 8 bugs last month. How many bugs did the sp

Art [367]

He ate 10 bugs this month

8 0

3 years ago

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first

Artyom0805 [142]

Answer:

Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

Set up equation before taxes.

y = x - 1500 eq1

Set up equation for total tax paid.

0.065x + 0.06y = 378.75 eq2

Substitute eq1 into eq2.

0.065x + 0.06(x - 1500) = 378.75

0.065x + 0.06x - 90 = 378.75

0.125x - 90 = 378.75

0.125x = 468.75

x = 3750

Substitute this value of x into eq1.

y = 3750 - 1500

y = 2250

The hotel charge in city one is $3750 and the hotel charge in city two is $2250

3 0

3 years ago

Graph the system of equations on your graph paper to answer the question. {y=−x+3

makkiz [27]

The answer is (x, y) = (-1, 4) hope this helped

5 0

3 years ago