First add up the numbers.
27.2+13.5+42.1+37.9+25=145.7
Now divide it by 5
29.14 or 29.1 rounded is the answer
a. it would be 105° because the 75° and this angle make a linear pair which adds up to 180°.
b. this is 105° because the two angles are alternate interior which are congruent
c. this is 75°, it is given.
M = 7 is the given slope
(x,y) = (-4,-3) is the given point
Turn to slope-intercept form and use these values to find b
y = mx+b
-3 = 7(-4)+b ... plug in the given values
-3 = -28+b
-3+28 = -28+b+28
25 = b
b = 25
since we know that m = 7 and b = 25, the equation y = mx+b turns into y = 7x+25
The final answer is choice A
Answer:
Set one: 12 and 13
Set two: -13 and - 12
Step-by-step explanation:
Let the smaller number = x
Let the larger number = x + 1
x^2 + (x + 1)^2 = 313 Remove the brackets on the left.
x^2 + (x^2 + 2x + 1) = 313
x^2 + x^2 + 2x + 1 = 313 Collect like terms
2x^2 + 2x + 1 = 313 Subtract 313 from both sides
2x^2 + 2x + 1 - 313 = 313 - 313
2x^2 + 2x - 312 = 0 Divide by 2
x^2 + x - 156 = 0
factor
There are two sets of factors that work
Set One
x = 12
x + 1 = 13
Set Two
x = - 13
x+1 = -13 + 1 = - 12
The second set is where you will get your marks. Few people will remember to use the minus answer
PEMDAS
4+3(4-2)^2 - 3(3-2)^3
4+3(2)^2 - 3(1)^3
4+3(4) - 3(1)
4+12-3
16-3
13
The answer is 13
