Answer:
Distance: 12.04159458 or 12.0
Midpoint: (2.5, 1)
Step-by-step explanation:
I used the Distance and the Midpoint Formulas.
Answer:
there are 2100 seconds in 35 minutes
Answer:
x = 1 , 7
Step-by-step explanation:
Solution:-
- The given equation is as follows:
y = x^2 - 8x + 7
- We can solve the above equation by either making factors or by using Quadratic formula.
Factor Approach:
- Using the constant "7" at the end of the quadratic equation we will determine two integer multiples such that their additions/subtraction results in "-8".
- So the only factor of "7" are:
7 x 1 = 7
-7 x -1 = 7
- We see that addition/subtraction of first (7 , 1 ) does not results in "-8", However, the sum of ( -1 , -7 ) = -1 - 7 = -8. So the correct factors are ( -1 , -7 ). So we replace "-8x" with our factors "-1x" and "-7x":
x^2 -x -7x + 7 = 0
- Take common multiples out of pair of two terms:
x*(x-1) -7*(x-1) = 0
(x-7)*(x-1) = 0
- So we equate each term in bracket with "0" and evaluate the values of x:
(x-7) = 0 , x = 7
(x-1) = 0 , x = 1
- So the solution to the quadratic equation is:
x = 1 , 7
A = 12.5
2/5 = 0.4
5/0.4 = a
Answer:
Step-by-step explanation:
<u>Since area of rectangle BCND is given as 90 and one of its side is 10, the other side MUST be 9.</u>
<u>
</u>
In Rhombus CGNR, CN and GR are congruent (property of Rhombus). Hence GR = 9 as well.
Thus 3GR = 3(9) = 27
First answer choice is right.
