We have the expressions:




Now, with this we operate as follows:
a)


Then, the axis is x = -3 and the vertex (-3, 6)
b)


Then, the vertex is (2, 5) and the axis is x = 2.
c)

Then, the vertex is (2, -4) andd the axis is x = 2.
d)


Then, the vertex is (-7/2, -57/4) and the axis is -7/2.
Answer:
(3x + 8) = 50
(5x - 20) = 50
(5x + 4y) = 130
Step-by-step explanation:
3x + 8 = 5x - 20
2x = 28
x = 14
5(14) + 4y + 5(14) - 20 = 180
y = 15
There is a percent formula that can solve all of these...
is / of = % / 100
what percent is 32 out of 80...
% = x...because this is what we r looking for
is = 32
of = 80
now sub into the formula
32/80 = x/100
cross multiply because this is a proportion
(80)(x) = (32)(100)
80x = 3200
x = 3200/80
x = 40......so 32 is 40% of 80
12 is 60% of what number...
is = 12
% = 60
of = x
sub
12/x = 60/100
cross multiply
(60)(x) = (12)(100)
60x = 1200
x = 1200/60
x = 20.....so 12 is 60% of 20
what is 30% of 70
is = x
% = 30
of = 70
x / 70 = 30/100
(100)(x) = (30)(70)
100x = 2100
x = 2100/100
x = 21.....so 21 is 30% of 70
what is 40% of 75
is = x
% = 40
of = 75
x / 75 = 40/100
(100)(x) = (75)(40)
100x = 3000
x = 3000/100
x = 30....so 30 is 40% of 75
the pic
what is 40% of 35
is = x
% = 40
of = 35
x/35 = 40/100
(100)(x) = (35)(40)
100x = 1400
x = 1400/100
x = 14.....so 14 is 40% of 35....14 goes in the box
We have to find the average rate of meters per second (also known as average speed).
We can calculate it as the quotient between the distance and the time:

Answer: the average rate is approximately 7.58 m/s.
Answer:
#1 is 17 and #2 is 25.
Step-by-step explanation:
You're going to use the Pythagorean Theorem which is a²+b²=c².
1.) a and b are called legs and the missing length is called the hypotenuse. The legs are the numbers given to you, such as, 8 and 15. Plug them into the equation: 8²+15²=c².
2.) 64+225=c²
3.) 289=c²
4.) 25=c