Answer:
a) 7z³+2z²-2z+1
b)2x²+3x-8
Step-by-step explanation:
a) (7z³+4z-1)+(2z²-6z+2)
7z³+2z²-2z+1
b) (5x²-2x-1)-(3x²-5x+7)
5x²-2x-1-3x²+5x-7
2x²+3x-8
Answer:
P = 57°
Step-by-step explanation:
Given the following :
PQ = 17
QR = 15
PR = 14
Using the cosine formula since the length of the three sides are given:
a2 = b2 + c2 – 2bccos(A)
To find P:
QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)
15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)
225 = 289 + 196 - 476 cosP
476*CosP = 485 - 225
476*CosP = 260
CosP = 260/476
CosP = 0.5462184
P = Cos^-1(0.5462184)
P = 56.892029
P = 57°
Answer:
y = 7x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (1, - 3)
m =
=
= 7, thus
y = 7x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 4), then
4 = 14 + c ⇒ c = 4 - 14 = - 10
y = 7x - 10 ← equation of line
The equation that show the relationship between Anna earning and time worked is y = 8.5h.
<h3>
Linear equation</h3>
Linear equation is in the form:
y = mx + b
where m is the rate of change, b is the y intercept and y, x are variables.
Let y represent Anna earnings for working h hours.
Since she charges $8.50 per hour to babysit. Hence:
y = 8.5h
The equation that show the relationship between Anna earning and time worked is y = 8.5h.
Find out more on Linear equation at: brainly.com/question/14323743
The square root of 192 is 13.856. so the answer is more than likely 14 or 13.85