2 years ago

Need help with both questions please

Mathematics

1 answer:

nikitadnepr [17]2 years ago

6 0

Answer:

vertical angle are congruent

because BD and CE intersect and intersecting lines make vertical angle

Step-by-step explanation:

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Question 3 Unsaved

bazaltina [42]

Answer:

Step-by-step explanation:

DE given is

y''+8y'+15y=0, y(0)=0, y'(0)=1

Take Laplace on the DE

We get

$s^2 Y(s) -sY(0) -y'(0)+8(sY(s)-y(0))+15Y(s) =0\\s^2 Y(s) -s(0) -1+8(sY(s)-0)+15Y(s) =0\\Y(s)(s^2+8s+15)-1=0\\Y(s) = \frac{1}{s^2+8s+15}$

Simplify to get

Y(s) = $\frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]$

Take inverse

$y(t) = \frac{e^{-3t} -e^{-5t}}{2}$

8 0

3 years ago

An internet start-up predicts its revenue by a straight-line method with a slope of $7000 per month. In its 6 th month it had re

Margarita [4]

Given that the method of revenue calculation is straight line method, the equation modeling this will be given by:
y=mx+c
where:
m=slope
x=time
c=initial value.
from our question:
slope,m=$7000
time=T
y(x)=R(t)
hence the formula after the sixth month will be:
R(t)=7000T+45000

5 0

3 years ago

Finding the expression

vekshin1

If you combine like terrms its easy, you just have to -5+5+6y, 6y=16 y=2.66666667

4 0

4 years ago

Maria has 180 pieces of chocolate candy and 144 pieces of fruity candy. She wants to give each child the same amount of candy so

ValentinkaMS [17]

144, cause each child gets a chocolate and a fruit candy

7 0

3 years ago

3.16 x 10x10x10 please tell me the answer please

kkurt [141]

Your answer would be 3160.

7 0

3 years ago

Need help with both questions please​

Need help with both questions please