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Rainbow [258]
4 years ago
6

Given the equation f(x) = (x + 3)2 – 8, fill in the blanks:

Mathematics
1 answer:
telo118 [61]4 years ago
6 0
Axis of symmetry -3 and -8 or 3 and -8 

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How do i find the radius? please help :(
Rus_ich [418]

Answer:

r = 40/π   exact answer

r = 12.7 decimal approximation

Step-by-step explanation:

arc length formula

s = (∅/360) * 2πr

s = (∅/180) * πr

--------------------------------

Plug in the givens

10 = (45/180) * πr

10 = .25πr

Divide both sides by .25

40 = πr

divide both sides by π

40/π = r

r = 40/π   exact answer

r = 40/3.14

r = 12.7 decimal approximation

8 0
3 years ago
A truck can carry a load of 5000 lb. Assuming that it could be cut to fit, how many feet of steel beam weighing 32.6 lb/ft (poun
yKpoI14uk [10]

For this type of problem,

It is stated that the weight of steel is 32.6 lbs per foot

Meaning, every foot of steel beam weighs 32.6.

So 2 feet of steel beam would weigh 32.6 x 2 = 65.2 lbs

and 3 feet will be 32.6 x 3 = 97.8 lbs

Since we have a limit of 5000 lbs which is the capacity of the truck.

We can have an equation :

32.6x=5000

Where x is the number of foot

Solve the value of x by dividing both sides by 32.6 :

\begin{gathered} \frac{\cancel{32.6}x}{\cancel{32.6}}=\frac{5000}{32.6} \\ x=153.37ft \end{gathered}

So the answer is 153.37 feet of steel beam

3 0
1 year ago
A coordinate plane linear graph shows inequalities. A line goes through (0, 1) and (2, minus 1). Another line goes through (0, m
Alborosie

The region in the graph that represents the solution of the system of linear inequalities y ≥ 2x − 3 and y ≤ -x + 1 is given by C region , This can be clearly understood from the graph attached.

<h3>What is Inequality ?</h3>

When two algebraic expressions are equated by an inequality operator then the mathematical statement formed is called inequality

It is given that a line passes through the points  (0, 1) and (2, minus 1)

The equation of the line representing this is given by

y = mx+c

m = -1

y = -x+1

and the other line passing through the points of (0, minus 3) and (2, 1) is

m = 2

y = 2x -3

These are plotted on the graph

From intersection, region to the right of it is A, below is D, to the left is C, and above is B.

These are noted ion the graph

Then the inequalities are plotted y ≥ 2x − 3 and y ≤ -x + 1

The region in the graph that represents the solution of the system of linear inequalities y ≥ 2x − 3 and y ≤ -x + 1 is given by C region , This can be clearly understood from the graph.

To know more about Inequality

brainly.com/question/20383699

#SPJ1

6 0
2 years ago
Question in photo bc i cant type it right lol
Gwar [14]
It would be a i hope this helps 
6 0
3 years ago
Read 2 more answers
Condense each expression to a single logarithm
stiv31 [10]
\bf \textit{logarithm of factors}\\\\&#10;log_a(xy)\implies log_a(x)+log_a(y)\\\\&#10;-------------------------------\\\\&#10;log_3(u)+log_3(v)+log_3(w)\implies [log_3(u)+log_3(v)]+log_3(w)&#10;\\\\\\\&#10;[log_3(u\cdot v)]+log_3(w)\implies log_3(u\cdot v\cdot w)\implies log_3(uvw)
3 0
3 years ago
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