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Aleksandr-060686 [28]
3 years ago
7

How to solve and why the answer is (A)

Mathematics
1 answer:
Amanda [17]3 years ago
7 0
\dfrac{1}{2}x^2+mx=5\\
\dfrac{1}{2}x^2+mx-5=0\\\\
\Delta=m^2-4\cdot\dfrac{1}{2}\cdot(-5)=m^2+10\\
\sqrt{\Delta}=\sqrt{m^2+10}\\\\
x=\dfrac{-m\pm\sqrt{m^2+10}}{2\cdot\dfrac{1}{2}}=-m\pm\sqrt{m^2+10}
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Write an expression to represent the following:
Y_Kistochka [10]
The answer would be: 5 + 9u
7 0
3 years ago
Please help me!!!!! How do you get 67.3 and 112.7 from .9228
antoniya [11.8K]

Answer and Step-by-step explanation:

You are correct in that we need to use the Law of Sines: \frac{c}{sinC} =\frac{b}{sinB}=\frac{a}{sinA}.

Here, when we use the Law of Sines, we have: \frac{28}{sin(63)}=\frac{29}{sinB}.

Cross multiply:

(sinB) * 28 = (sin63) * 29

28sinB ≈ 25.839

sinB ≈ 0.9228

Now, in order to solve for B, we need to use inverse sin (sin^{-1}):

sin^{-1}(sinB)=sin^{-1}(0.9228)

The sines on the left cancel out, and we're left with:

B ≈ 67.3 degrees

Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:

180 - 67.3 = 112.7 degrees.

Hope this helps!

7 0
4 years ago
Read 2 more answers
Rewrite in simplest terms: 9(-9f-2)-9(5f+10)
Deffense [45]

Answer:-126f-108

Step-by-step explanation:

9(-9f - 2)-9(5f +10)

-81f - 18 -9(5f + 10)

- 81f - 18 - 45f -90

- 126f - 18 - 90

-126f -108

which give you the answer -126f - 108

7 0
3 years ago
Brad says that if a second number is 125% of the first number, then the first number must be 75% of the second number. Is he cor
olga55 [171]

Answer: He is not correct.

Steps:

Let x1 and x2 be the first and second number, respectively.

x_2 = \frac{5}{4}x_1\\\frac{4}{5}x_2 =x_1

In words, if the second is 125%, or 5/4 of the first number (first equation),

then the first is 4/5 of the second, which is 0.8 or 80%.

8 0
3 years ago
Can someone help me please
Iteru [2.4K]

Answer:

1) 3.75

2)0.833333

3)3.66666

Step-by-step explanation:

See photo for Step-bystep explanation

3 0
3 years ago
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