You can locate<span> any </span>point on the coordinate plane<span> using an ordered pair of numbers.
e.i. (4,2) will be 4 units to the right and 2 units up on the coordinate plane.</span>
Answer:
4x2 + 3x + 4
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 4 • 4 = 16
Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is 3 .
-16+-1=-17
-8+-2=-10
-4+-4=-8
-2+-8=-10
-1+-16=-17
1+16=17
2+8=10
4+4=8
8+2=10
16+1=17
Final result :
4x2 + 3x + 4
Given:
The expression is:
![-\dfrac{1}{4}-\left(\dfrac{2}{5}+\dfrac{3}{7}\right)](https://tex.z-dn.net/?f=-%5Cdfrac%7B1%7D%7B4%7D-%5Cleft%28%5Cdfrac%7B2%7D%7B5%7D%2B%5Cdfrac%7B3%7D%7B7%7D%5Cright%29)
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
![-\dfrac{1}{4}-\left(\dfrac{2}{5}+\dfrac{3}{7}\right)](https://tex.z-dn.net/?f=-%5Cdfrac%7B1%7D%7B4%7D-%5Cleft%28%5Cdfrac%7B2%7D%7B5%7D%2B%5Cdfrac%7B3%7D%7B7%7D%5Cright%29)
Using the distributive property, we get
![=-\dfrac{1}{4}-\dfrac{2}{5}-\dfrac{3}{7}](https://tex.z-dn.net/?f=%3D-%5Cdfrac%7B1%7D%7B4%7D-%5Cdfrac%7B2%7D%7B5%7D-%5Cdfrac%7B3%7D%7B7%7D)
Taking LCM, we get
![=\dfrac{-35-56-60}{140}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B-35-56-60%7D%7B140%7D)
![=\dfrac{-151}{140}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B-151%7D%7B140%7D)
Therefore, the expression
is equivalent to the given expression expression.
Note: There are more than one equivalent expressions.
Answer:
The length of the diagonal is 13.90 inches
Step-by-step explanation:
This question can be remolded as calculating the length of the diagonal of a rectangle with dimensions 11 inches by 8.5 inches.
The diagonal refers to that length that runs from one inner edge of the rectangle to the other inner edge of the rectangle.
To calculate this length, we shall be making use of the Pythagoras’ theorem
Please check attachment for the kind of figure i’m trying to paint.
Let’s call the diagonal D
Using the Pythagoras’ theorem,
D^2 = 11^2 + 8.5^2
D^2 = 121 + 72.25
D^2 = 193.25
D = √193.25
D = 13.90 inches
Answer: 0.54x = 2.72
x=5.04
Step-by-step explanation: ...