Answer:
Step-by-step explanation:
We are given a Triangle ABC , and DE││BC , where D and E lies on AB and BC Respectively. As DE││BC , ABC is similar to BDE. Hence the ratios of the respective sides will be equal . Hence
----------(A)
Given BD=2
BA=BD+AD=2+7=9
DE=3
Putting these values in (A)
Answer:
5.266 secs
Step-by-step explanation:
Lets assume ; p(t) = t^-3 + 2^2 + ( 3/2 ) is the particle position along x-axis
time interval [ 0, 4 ]
Average velocity = Displacement / time
= p( b ) - p( a ) / b - a -------- ( 1 )
where a = 0 , b = 4 ( time intervals )
Back to equation 1
Average velocity = [ ( 4^-3 + 4 + (3/2) ) - ( 0 + 4 + (3/2) ) ] / 4
= 3.9 * 10^-3 ----- ( 2 )
Instantaneous velocity = d/dx p(t)
= - 3/t^4 ------ ( 3 )
To determine the time that the instanteous velocity = average velocity
equate equations (2) and (3)
3.9*10^-3 = - 3 / t^4
t^4 = - 3 / ( 3.9 * 10^-3 ) = - 769.231
hence t = = 5.266 secs
we ignore the negative sign because time can not be in the negative
Answer:
The value of y is: 7
Step-by-step explanation:
The figure of the rectangle ABCD is attached to the answer.
We are given that Parallelogram ABCD is a rectangle.
AC=6y−1
BD=4y+13
Diagonal BD and AC intersect each other at a point labeled as X.
Also we know that: The two diagonals of a rectangle are equal in length and bisect each other.
i.e. length of AC=BD
Hence 6y-1=4y+13
⇒ 6y-4y=13+1
⇒ 2y=14
⇒ y=7
Hence, AC=6×7-1=42-1=41
BD=4×7+13=41
Hence, the value of y is 7.
Answer:
<h3>5 units </h3>Step-by-step explanation:
Lets keep the missing side as x
And we also know that the area of Triangle is,
So taking this into consideration we can write a linear equation like this,
Where height is 8,
So therefore the missing side is 5
The factors of the given model are (x+2) and (x+7)
Given the representation of the model expressed as;
To get the factors, we will factorize the given quadratic function as shown:
Group the functions to have;
Factor out the GCF from both parenthesis:
Hence the factors of the given model are (x+2) and (x+7)
Learn more on factorization here: brainly.com/question/25829061
