Answer:
13 in
Step-by-step explanation:
let w be width then length is w + 6
the area (A) of a rectangle is calculated as
A = length × width , then
A = w(w + 6) = 91 , that is
w² + 6w = 91 ( subtract 91 from both sides )
w² + 6w - 91 = 0 ← in standard quadratic form
(w + 13)(w - 7) = 0 ← in factored form
equate each factor to zero and solve for w
w + 13 = 0 ⇒ w = - 13
w - 7 = 0 ⇒ w = 7
however, w > 0 then w = 7
and length = w + 6 = 7 + 6 = 13 in
Answer:
Step-by-step explanation:
The distance formula tells you the distance d between the points (0, 0, 0) and (-3, -b, c) is ...
d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²) = √((-3-0)² +(-b-0)² +(c-0)²)
= √(9 +b² +c²)
Hey there, Delilah
What's it like in New York city?
I'm a thousand miles away
But, girl, tonight you look so pretty
Yes, you do
Time square can't shine as bright as you
I swear, it's true
Hey there, Delilah
Don't you worry about the distance
I'm right there if you get lonely
Give this song another listen
Close your eyes
Listen to my voice, it's my disguise
I'm by your side
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
What you do to me
Hey there, Delilah
I know times are gettin' hard
But just believe me, girl
Someday I'll pay the bills with this guitar
We'll have it good
We'll have the life we knew we would
My word is good
Hey there, Delilah
I've got so much left to say
If every simple song I wrote to you
Would take your breath away
I'd write it all
Even more in love with me you'd fall
We'd have it all
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
A thousand miles seems pretty far
But they've got planes and trains and cars
I'd walk to you if I had no other way
Our friends would all make fun of us
And we'll just laugh along because we know
That none of them have felt this way
Delilah, I can promise you
That by the time we get through
The world will never ever be the same
And you're to blame
Hey there, Delilah
You be good, and don't you miss me
Two more years and you'll be done with school
And I'll be makin' history like I do
You'll know it's all because of you
We can do whatever we want to
Hey there, Delilah, here's to you
This ones for you
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
What you do to me
Oh, whoa, whoa
Oh whoa, oh
Oh, oh
Answer:
(2,-4)
Step-by-step explanation:
When a point (x,y) is reflected across the y-axis, you need to change the sign of x. For example, if (-x,y) you need to take away the negative sign, which makes (x,y). Or, if the point is (x,y), you need to add a negative sign to the x, which makes (-x,y). So, if your point (-2, -4) is reflected across the y-axis, you need to take the negative sign off the -2, which makes (2,-4).
Answer:
9.64ft
Step-by-step explanation:
Since the diagram tends to form...a right angled triangle....;
with PR = 17ft...,PQ = 14ft
then to calculate the length of QR
we use the pythagoras theorem...which is only applicable to right angled triangles
PR^2 = PQ^2 + QR^2
(17)^2 = (14)^2 + QR^2
where we make QR the subject of formula;
QR^2 = (17)^2 - (14)^2
QR = square root of( 289 - 196)
QR = square root of( 93)
;Therefore the length of QR = 9.64ft
