Answer:
y = 
x + 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = , hence
y = x + c ← is the partial equation
to find c substitute (- 2, 11) into the partial equation
11 = - 
+ c ⇒ c =
y = x + ← equation of line
The answer would be <span>6.5.12
A triangle couldn't be made if the total sum of the two shortest side is less than the longest side. In this case, the two shortest side would be 5 and 6. The longest side would be 12.
If you try to add the two lowest side, the result would be 5+6=11. That means even if you make the triangle with 179.99 degrees that the 5 and 6 look like a straight line, the longest side it can achieve is 11.</span>
basically you treat y like a number and not a variable
Answer:
a is 4
b is 2y
c is -10y²+9
discriminant is 4(41y²-36)
Step-by-step explanation:
4x²+2xy-10y²+9=0
rewrite in standard form of a quadratic equation like ax² + bx + c = 0
4x²+2yx-10y²+9=0
basically you treat y like a number and not a variable
a is the number with the x²
right away we know a is 4 because of 4x²
b is the one with x so in this formula b is 2y
c is the number without the x which in this case is -10y²+9
discriminant is
b² - 4ac
(2y)²- (4)(4)(-10y²+9)
4y²-(16)(-10y²+9)
4y²-(16)(-10y²+9)
4y²+160y²-144
164y²-144 =
4(41y²-36)
X < -40.5
To find this, here are the steps:
Combine like terms like so:
-4x - 49 > 113
Then, begin to isolate the variable x by adding 49 to both sides leaving you with:
-4x > 162
Then divide by negative four. Don’t forget, dividing by negatives switches the way the sign points so your final product will be:
x < -40.5
Hope this helps!
Answer:
Option B ⇒ Area of base of each pyramid :
Option A ⇒ Volume of pyramid :
cm3
Step-by-step explanation:
One side of tile consists of 4 pyramids and since length of whole tile is x,
So, the base length of each pyramid = 
⇒ Area of base of each pyramid = side²
⇒ Area =
Volume of square based pyramid :
For 1. The correct Option is B
For 2. The correct option is A
