So, to factor out the equation x²+12x+35, first multiply the first and last numbers.
1×35=35
So, you need to find the multiples of 35 that add up to 12.
So, you find 7 and 5. These two numbers are the magic numbers that will be used as the correct factored form of x²+12x+35, because:
>7×5=35
>7+5=12
So, using these two numbers, you get your factored form as:
(x+5)(x+7)
Answer:
c9-3,4)
Step-by-step explanation:
Answer:
- Addition with the result of 4
Step-by-step explanation:
<u>Given</u>
<u>PEMDAS is the rule that includes order of operations in the sequence: </u>
- Parentheses, Exponents, Multiplication and Division, Addition and Subtraction
In the given expression we have Addition bit of PEMDAS
2 (a): <span>Lena's method is correct
</span> (b) Explanation: - We can explain that she was correct by checking the equation. In order to check that, we have to put the values of x and y.
4y = 3x + 7
Substitute for y = 10, x = 11 [ Lena's answers ]
4(10) = 3(11) + 7
40 = 33 + 7
40 = 40 [ L.H.S. = R.H.S ]
Now, checking with 2nd equation,
9x + 4y -139 = 0
9(11) + 4(10) - 139 = 0
99 + 40 - 139 = 0
139 - 139 = 0
0 = 0 [ L.H.S. = R.H.S ]
As L.H.S. is equal to R.H.S. for both equation, She was correct
3) a) System of equations would be:
x + y = 1
x - y = 11
b) Solving the equation,
Take 2nd equation,
x - y = 11
x = 11 + y
Now, substitute it in 1st equation.,
x + y = 1
11 + y + y = 1
2y = 1 - 11
y = -10 / 2
y = -5
Substitute it in 2nd equation,
x - y = 11
x - (-5) = 11
x + 5 = 11
x = 11 - 5
x = 6
In short, x is equal to 6, and y is equal to -5
Hope this helps!
We can use slope , point formula
y-y1=m(x-x1)
m is a slope=(y2-y1)/(x2-x1)=(-10-(-7))/(2-1)=-3
for example, we take the point (1, -7)
y-(-7)=-3(x-1)
y+7=-3x+3
y=-3x-4
