Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70 
From there
x * (2x - 4) = 70
- 4x = 70
- 4x - 70 = 0
- 2x - 35 = 0
Now we have a quadratic equation, which is a
+ bx + c = 0, where a
0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D =
- 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are
and
=
= -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
=
= 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
Answer:
x = -1
Step-by-step explanation:
8x = - 4(x + 3)
8x = -4x - 12
+4x +4x
<u>12x = -12</u>
12 12
x = -1
- Remember, a negative times a positive equals a negative
- Remember, a negative divided by a positive equals a negative
Hope this helps you!!! :)
X-5y=-21
x=-21+5y
-6(-21+5y)+4y=10
126+-30y+4y=10
126+-26y=10
-26y=-116
y=4.4615
x=1.3076
Answer:
A function is a relation in which each input has only one output.
In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
Answer:
It is about 3.18 inches
Step-by-step explanation:
54 divide by 17 equals to 3.17647058824
estimate 3.17647058824 to hundredth place equals to 1.18