Using factorization method;
x²+13x+40=0
x²+13+40
Find two numbers that you can add together to give the co-efficient of variable x. (I.e 13 for this question). Also, you'll find two numbers that you can multiply with each other to give you the whole number as an answer. (I.e 40 in this question). The two numbers must be the same (i.e the two numbers that will be added to give the co-efficient of x and the two numbers that will be multiplied to give the whole number must be the same two).
The two numbers are +5 and +8
The equation will therefore be = x²+5x+8x+40
You'll then factorize (I.e use a common factor of both values to bracket them)
x(x+5)+8(x+5)
(x+8)(x+5)
x is therefore (x+8=0) or (x+5=0)
x=(x=0-8) or (x=0-5)
x= -8 or x= -5
Answer:
(x + 7)² + (y - 8)² = 49
Step-by-step explanation:
Circle Equation: (x - h)² + (y - k)² = r²
(h, k) is center
<em>r</em> is radius
Step 1: Define
h = -7
k = 8
r = 7
Step 2: Substitute
(x - -7)² + (y - 8)² = 7²
(x + 7)² + (y - 8)² = 49
Answer:
4x-2y =42 is the required equation
Step-by-step explanation:
given equation is,
4x-2y -7=0---------eqn1
parallel equation of given equation is
4x -2y+k =0-------eqn 2
now passing it through (9,-3), we get,
4×9 + 2×3 +k = 0
or,36+6+k =0
or,42+k =0
or, k= -42
putting the value of k in eqn2
4x-2y - 42=0
4x-2y = 42
Answer:
y=12x+2
Step-by-step explanation:
Parallel lines have the same slope, and you can make the y-intercept any positive number
15 x .30 = 4.50 discount 15-4.50= 10.50
10.50 x .40 = 4.20
Final cost of shirt 10.50-4.20 = $6.30
