3. 7 times 3 equals 21 and 21+25=46.
Answer:
45
Step-by-step explanation:
105+30 = 135
180-135= 45
:')
y=x+14 line 1
y=3x+2 line 2
These are both the equation of lines written in slope intercept form
y=mx+b where m is the slope and the point (0,b) is the y intercept.
The first line has a slope of m=1. The 2nd line has a slope of m=3
Since these lines have different slopes, they are not parallel, thus they will cross at some point. What you have to determine is where the lines cross, which will be a point (x,y) that is on both lines.
We already have y solved in terms of x from either equation so we can use substitution to solve the system.
Since y=x+14 from line 1, put x+14 in place of y in the equation of line 2.
x+14=3x+2
solve for x.
Subtract x from both sides...
14= 3x-x+2
14=2x+2
subtract 2 from both sides
14-2=2x
12=2x
divide both sides by 2
6=x
We now have the x value of the common point. Plug the value 6 in for x in one of the original equations and solve for y.
y=6+14
y=20
These two lines cross at the point (6,20) which is a point the two lines have in common.
Hope I helped (SharkieOwO)
220 miles in 4 h = 55 mph multiply this by 5280 to get feet per hour then divide this by 60 to get ft/min
Hope this helped!!!!! PM me if you have any other questions!!!!! Don't forget Brailiest!!!!!
Answer:
see explanation
Step-by-step explanation:
(a) (i)
x² - 9 ← is a difference of squares and factors as
(x - 3)(x + 3)
(ii)
given x² + x - 12
Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 1)
The factors are + 4 and - 3, since
4 × - 3 = - 12 and 4 - 3 = + 1, hence
x² + x - 12 = (x + 4)(x - 3)
(iii)
Express the numerator/ denominator in factored form
= 
Cancel the (x - 3) factor on the numerator/denominator, leaving
= 
with restriction x ≠ - 4
(b)
Expand the second pair of factors using FOIL
= (x + 2)(x² + 5x - 3x - 15)
= (x + 2)(x² + 2x - 15)
Multiply each term in the second factor by each term in the first factor
x(x² + 2x - 15) + 2(x² + 2x - 15) ← distribute both parenthesis
= x³ + 2x² - 15x + 2x² + 4x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ + ax² - 11x + b
ax² with 4x² ⇒ a = 4
b with - 30 ⇒ b = - 30
