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sammy [17]
3 years ago
6

Solve the equation using square roots.

Mathematics
2 answers:
Virty [35]3 years ago
7 0

Answer: LAST OPTION.

Step-by-step explanation:

1. You have the following equation:

6x^{2}=54

2. Then you must solve for x, as following:

x^{2}=54/6\\x^{2}=9\\x=\sqrt{9}\\x=+/-3

Therefore, as you can see above, the answer for the exercise is the last option.

Inessa [10]3 years ago
3 0

Answer:

Choice d is correct.

Step-by-step explanation:

we have given equation

6x²=54

we have to solve this equation by using square roots.

for this, divide the above equation by 6 from both sides.

after applying division the equation become

6x²/6 = 54/6

x² = 9

now applying square root on both sides.

√x² = √9

so the final equation become:

x = ± 9

x = ± 9 is the required answer.

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Choose a justification for each step in the derivation of the sine difference identity.
Natali [406]

Answer:

Step 1:  

✔ Cofunction identity

Step 5:  

✔ Sine difference identity

Step 6:  

✔ Cofunction Identity

Step 7:  

✔ Cosine function is even, sine function is odd.

Step-by-step explanation:

8 0
3 years ago
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A company spends 13% of its month budget on rent which total $2600 which proportion can be used to calculate the company’s total
yaroslaw [1]

Answer:

20,000

Step-by-step explanation:

We can create a proportion to find the total budget. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the budget and percents.

\frac{13}{100} =\frac{2600}{x}


We begin solving by cross multiplying numerator to denominator of each fraction.


13(x)=100(2600)\\13x=260000\\\frac{13x}{13}=\frac{260000}{13}  \\20,000=x



5 0
3 years ago
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Can you guys help me.
Alex Ar [27]
The banner would be 10feet 3inches
6 0
3 years ago
Suppose Samantha is walking at a constant speed of 0.5 miles every 6 minutes from her house to a coffee shop located 1.3 miles a
Effectus [21]

Answer:

a) It takes Samantha 12 minutes to walk 1 mile

b) It takes Tina 6 minutes to bike 1 mile

c) k(t) = 0.083t

d) m(t) = 0.167t

e) Tina arrives befora Samantha

Step-by-step explanation:

a) How many minutes does it take Samantha to walk 1 mile?

This is a direct rule of three problem. So:

6 minutes - 0.5 miles

x minutes - 1 mile

x = 6/0.5 = 12 minutes

It takes Samantha 12 minutes to walk 1 mile

b) How many minutes does it take Tina to bike 1 mile?

Quite similar to a)

1.5 minutes - 0.25 miles

x minutes - 1 mile

x = 1.5/0.25 = 6 minutes

It takes Tina 6 minutes to bike 1 mile

c) Write a function k that determines the number of miles Samantha has walked in terms of the number of minutes.

We know that it takes 6 minutes for Samantha to walk 0.5miles. To build our function k, we need to know how many miles Samantha walks a minute.

So

6 minutes - 0.5 miles

1 - minutes - x miles

x = 0.5/6 = 0.083 miles

So the number of miles in function of t is

k(t) = 0.083t

d) Write a function m that determines the number of miles Tina has biked in terms of the number of minutes since she started biking

Same logic as c). So:

1.5 minutes - 0.25 miles

1 minute - x miles

x = 0.25/1.5

x = 0.167

So the number of miles in function of t is:

m(t) = 0.167t

e)

Samantha will arrive when k = 1.3, so:

0.083t = 1.3

t = 15.66 minutes

Tina will aririve when m = 2.5, so:

0.167t = 2.5

t = 14.9 minutes

Tina arrives befora Samantha

4 0
3 years ago
What is 8✖️8➗2➕-4✖️5 follow order of operations
Mkey [24]
<span>=<span><span><span><span>(8)</span><span>(4)</span></span>−4</span>+5

</span></span><span>=<span><span>32−4</span>+5

</span></span><span>=<span>28+5

</span></span><span>=<span>33</span></span>
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3 years ago
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