Answer:
-84 yards
Step-by-step explanation:
The football team receiving a penalty will have negative number of yards.
For the first penalty, they received two 15 yard.
Total yards = 2(-15)
= -30 yards
For the second penalty , they received seven five yards
the total yards= 7(-5)
= -35 yards
for the last penalty, they received one 19 yards
Total yards= 1(-19)
= -19 yards
x= -30 + (-35) + (-19)
x = -30-35-19
x = -84 yards
Answer:
The equation in slope-intercept form:
Step-by-step explanation:
Given the point
We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept.
substituting the values m=1 and the point (-8, -6) to determine the y-intercept i.e. 'b'.

-6 = 1(-8)+b
-6 = -8 + b
b = -6+8
b = 2
Now, substituting the values m=1 and the b = 2 to determine the line equation in slope-intercept form



Annually compoudning interest formula
PV(1+i)ⁿ
4000(1+.0775)¹⁰=8437.869021
which rounds to
$8437.87
If you were to do this on a financial calculator it would look like this:
N=10
I/Y=7.75
PV=4000
PMT=0
CMPT FV = same answer
Answer:
Step-by-step explanation:
r is the common ratio.
Third term minus first term is 48.
a₃ - a₁ = 48
a₃ = a₁r²
a₁r² - a₁ = 48
a₁(r²-1) = 48
r²-1 = 48/a₁
Fourth term minus second term is 144.
a₄ - a₂ = 144
a₂ = a₁r
a₄ = a₁r³
a₁r³ - a₁r = 144
a₁r(r²-1) = 144
r²-1 = 144/(a₁r)
48/a₁ = 144/(a₁r)
r = 3
:::::
r²-1 = 48/a₁
a₁ = 6
:::::
a₆ = a₁r⁵ = 1458
first make two triangles using M , so there iwll be 90-45-45, and 30-60-90 then use the side rules of those special triangles