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rosijanka [135]
3 years ago
7

Given parallelogram ABCD , diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8 . Find the length of AC

. A. 4 B. 8 C. 6 D. 2
Mathematics
1 answer:
Crank3 years ago
3 0

Answer:

I think the answer shod be B

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The following formula models the number of prison inmates, P, in thousands, who are in U.S prisons x years after 1980.
MariettaO [177]
2X^2+22x+318=1270
2x^2+22x-952=0
x^2+11x-476=0
(x+28)(x-17)=0
x=17
7 0
3 years ago
Can someone help me with this problem 3(x+1)=11 I need it step by step
Nataly [62]

Answer:

x = 2.66666667

Step-by-step explanation:

3(x + 1) = 11

We multiply both x and 1 by 3 and get

3x + 3 = 11

Now we subtract 3 from both sides

3x + 3 - 3 = 11 - 3

3x = 8

Now divide both sides by 3

3x/3 = 8/3

x = 2.66666667

(っ◔◡◔)っ ♥ Hope It Helps ♥

6 0
2 years ago
Read 2 more answers
Pls help :Find the missing side or angle.<br> Round to the nearest tenth.
Nitella [24]

Answer:

C° = 71.6056

Step-by-step explanation:

Law of Cosines: c² = a² + b² - 2abcosC°

Step 1: Plug in known variables

29² = 30² + 15² - 2(30)(15)cosC°

Step 2: Evaluate

841 = 900 + 225 - 900cosC°

-59 = 225 - 900cosC°

-284 = -900cosC°

71/225 = cosC°

cos⁻¹(71/225) = C°

C° = 71.6056

And we have our answer!

7 0
3 years ago
Read 2 more answers
(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw
slavikrds [6]

Answer:

a. \frac{dT}{dt}=k(T-Tm); T(0)=190

b. C_{0}=122

c. k=-0.00259

d. t=153.39838\\ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

Tm=68

\frac{dT}{dt}=k(T-Tm); T(0)=190

b. The differential equation obtained is a differential equation of separable variables:

\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122

c. After 33 minutes of serving the coffee has cooled to 180°:

T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259

d.

150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\

8 0
3 years ago
30 people watched the soccer game last night . Ticket cost $2.75 each. Half of these fans bought a program at $1.50. How much mo
butalik [34]
Half of the people bought tickets at $1.50, $1.50 times 15 equals $22.50

The other half bought them at the regular price of $2.75, $2.75 times 15 equals $41.25

When we combine the two money totals, we end up with a grand total of $63.75

8 0
3 years ago
Read 2 more answers
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