Let's call the width
. Since the length is three more than the width, it is
.
The area (which we know to be 70) is given by the multiplication of width and length:

To solve this equation, you can use the usual quadratic formula: given an equation
, the two solutions are

which in your case becomes

So, two solutions are

Since we can't accept a negative length, we only accept the second solution.
So, the dimensions are 7 and 10
Answer:
The correct answer is (-2,-5).
Step-by-step explanation:
Ordered pairs in the first quadrant: x>0 and y>0.
Ordered pairs in the second quadrant: x<0 and y>0.
Ordered pairs in the third quadrant: x<0 and y<0.
Ordered pairs in the fourth quadrant: x>0 and y<0.
If City Park is shown on (-3,-4), then in the third quadrant.
Jade's house is in the same quadrant as the city park. Which of the following could be the coordinates of Jade's house?
(2, 5)
(−2, 5)
(2, −5)
(−2, −5)
Answer:
22 pi cm ( 69.12 cm)
Step-by-step explanation:
pi * d = circumference = pi * 2 * r = pi * 2 * 11 = 22pi cm
Answer:
Step-by-step explanation:
We can use the second expression to substitute for y in the first expression. Then we have ...
... 1/2x +11 = -7x^2 -9x +6
Subtracting the right side, we get
... 7x^2 +(9 1/2)x +5 = 0
Eliminating fractions by multiplying by 2, this is ...
... 14x^2 +19x +10 = 0
The discriminant of this equation will tell the number and kind of roots. For a=14, b=19, c=10, the discriminant is ...
... b^ -4ac = 19^2 -4·14·10 = 361 - 560 = -199
Since this value is negative, we know the two roots to the quadratic will be complex. There are no real solutions.
_____
The graph shows the two curves do not intersect, hence there are no values of x that will make the y-values match.