Alright in this one, you are going to need to factor.
The width is x
The length is 2x-4
To find the area of a rectangle is L*W
so (2x-4)(x) when distributed is 2x^2 -4x
Then put that in the equation and you have:
2x^2 -4x = 96
2x^2 -4x -96 = 0
2x^2+12x-16x-96=0
3x(x+4)-4(x+4)=0
(3x-4)=0
(x+4)=0
x=-4
<u>x=3/4</u>
Since length isn't negative
we will use <u>3/4 as x.
</u>
Width= 0.75 ft
Length= 1.5
Answer:
P = 157.1 mm
Step-by-step explanation:
The perimeter of the figure = Circumference of circle + perimeter of square
We have, d = 11
⇒ Radius = 11 mm
Side of square = 22 cm
So,
So, the perimeter of the figure is equal to 157.1 mm.
Yes.
3y=2x +1
3 (1) = 2 (1) +1
(3,3)
(1,1) is a solution
Alternate interior angles are:
(2x-70) = (x+30)
2x-x = 30+70
x = 100
the angle 5y is supplementary to the other angle.
5y + (100+30) = 180
5y + 130 = 180
5y = 180-130
5y = 50
y = 50/5
y = 10
We know that
the formula for the <span>arithmetic sequence is
</span><span>an = a1 + (n - 1)*d
where
a1 is the first term
n is the numbers of terms
for n=3 a3=-8
-8=a1+(3-1)*d-----> -8=a1+2*d-----> equation 1
for n=7 a7=32
-32=a1+(7-1)*d----> -32=a1+6*d----> equation 2
multiply equation 2 by -1-----> 32=-a1-6*d------> equation 3
add equation 1 and equation 3
</span>-8=a1+2*d
32=-a1-6*d
----------------
24=-4*d------> d=-6
-8=a1+2*(-6) (substitute the value of d in equation 1)
-8=a1-12-----> a1=-8+12-----> a1=4
the answer is
a1=4
d=-6
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