From the second equation ,we can know that y=3.25x+0.75
plug it into the first equation
-4.5x-2(3.25x+0.75)=-12.5
-4.5x-6.5x-1.5=-12.5
-11x=-11
x=1
plug it back into the second equation, y=3.25x+0.75=4
the answer would be (1,4)
The teacher width of teacher desk is 30 inches
Answer:
The first one is 3x+1
The second one is 3/4x - 2
Step-by-step explanation:
Look where the line intersects then count the dots to where the next point is.
Answer:
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 12x + 36 = 90
Rearranging it in line with the standard form of ax² + bx + c, it becomes
x² - 12x + 36 - 90 = 0
x² - 12x - 54 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = - 12
c = - 54
Therefore,
x = [- 12 ± √(- 12² - 4 × 1 × - 54)]/2 × 1
x = [- 12 ± √(144 - - 216)]/2
x = [- 12 ± √360]/2
x = (- 12 + 18.97)/2 or x = (- 12 - 18.97)/2
x = 3.485 or x = - 15.485
Answer:
21.9
Step-by-step explanation:
The altitude of an isosceles triangle bisects the base. So, x represents the hypotenuse of a right triangle with legs of 9 and 20. It can be found using the Pythagorean theorem:
x^2 = 9^2 +20^2 = 81 +400
x = √481 ≈ 21.932
The length x is about 21.9 units.