Step-by-step explanation:
It makes 2x^2-20-206=0
Find D
Then find X1 and X2
Answer: Slope: 3, Y-intercept: 3/2
Step-by-step explanation:
<u>x y </u>
-1 -3/2
-1/2 0
0 3/2
1/2 3
Since we are given an x,y table, we can easily spot the y-intercept. The y-intercept has the x value of 0. Therefore, the y-intercept is 3/2.
Now, we can use the formula
to find the slope.


Slope: 3
Y-intercept: 3/2
Answer:
see below
Step-by-step explanation: 5 23 8 03
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
shorter leg = x
longer leg = x + 9
hypotenuse = 2x - 9
Pythagorean theorem = a² + b² = c²
shorter-leg² + longer-leg² = hypotenuse²
x² + (x+9)² = (2x - 9)² solve for x
x² + (x+9) (x+9) = (2x - 9)(2x - 9)
x² + (x²+18x+81) = (4x² - 36x + 81)
(2x²+18x+81) = (4x² - 36x + 81)
0 = 2x² -54x
0 = x(2x - 54)
0 = x and 0 = 2x -54
54 = 2x
27 = x
shorter leg = 27
longer leg = 36
hypotenuse = 45
divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct
Answer:
Step-by-step explanation:
Since you haven't provided any algebra 2 questions I can only give you advice on how to get better with algebra 2. Algebra 1 is mainly about learning how to isolate the variables in order to solve for it. Algebra 2 implements these knowledge and applies it to a handful of already designed equations. Some of these include linear, quadratic equation, and slope intersect. Memorize these equations and the rest is simply applying what you learned in Algebra 1. The best way to get better is through practice. Use all the resources available such as books, videos, and tutor help.
Let x be the digit in the tens place and y be the digit in the ones place.
so, the digit is xy
<span>
The ten's digit of a two digit number is 1 more than 4 times the units' digit.
</span>x = 4y + 1
<span>63 is subtracted from the number, the order of the digits is reversed
</span>10x + y - 63 = 10y + x
9x - 9y = 63
x = 4y + 1 ------------ (1)
9x - 9y = 63 ---------- (2)
Sub (1) into (2)
9(4y + 1) - 9y = 63
36y + 9 - 9y = 63
27y = 63 - 9
27y = 54
y = 2 ------- sub into (1)
x = 4(2) + 1 = 9
x = 9, y = 2
The number is 92