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sergey [27]
2 years ago
6

Solve this problem. What is x?

Mathematics
1 answer:
serg [7]2 years ago
5 0

Step-by-step explanation:

a²+b²=c²

THIS is the Pythagorean theorem which is:

Hypotenuse² + Base² = perpendicular ²

Thus inputting values:

(√117)² + (6)² = (x)²

117 + 36 = x²

x² = 153

x= √153 (ans)

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6x + y = -2<br> y= -3x + 1<br><br> Graph the solution
Gala2k [10]
6x + y = -2
y = -3x + 1

Substitute the value of y in first equation, 
6x -3x + 1 = -2
3x = -2-1
x = -3/3
x = -1

Now, Substitute it in 2nd equation, 
y = -3(-1) + 1
y = 3+ 1 = 4

Coordinates would be: (-1,4) Mark that point and join with origin.

Hope this helps!
6 0
3 years ago
1) 2(a + 3) = -12
serg [7]
1)
2(a + 3) = -12
Divide by 2
a + 3 = -6
Subtract 3
a = -9

2)
3(p + 2) = 18
Divide by 3
p + 2 = 6
Subtract 2
p = 4

3)
4(2r + 8) = 88
Dive by 4
2r + 8 = 22
Subtract 8
2r = 14
Divide by 2
r = 7

4)
2(3a + 2) = -8
Divide by 2
3a + 2 = -4
Subtract 2
3a = -6
Divide by 3
a = -2

5)
4(k + 3) = 4
Divide by 4
k + 3 = 1
Subtract 3
k = -2
3 0
3 years ago
Read 2 more answers
I guessed “doesn’t matter” but I really want to know why it might be that
chubhunter [2.5K]
I'm sorry, but the spinner that you choose does matter in this case.

For spinner A, there are 5 equal sections with a 1 being in only one of them as well. This gives you a \frac{1}{5} chance of landing on the number 1.

For spinner B, there are 6 equal sections with a 1 being in only one of them. This gives you a \frac{1}{6} chance of landing on the number 1 - a worse chance than if you were to use spinner A.

So for this question, you have a better chance of landing on number 1 if you choose to use spinner A.
5 0
3 years ago
D) Calculate the area of a circle with a circumference of 31.4 in.
dsp73

Answer:

A ≈ 78.54

Step-by-step explanation:

Area of a circle is A=πr^2

Since you do not know r (radius) you take the formula for the circumference of a circle (C=2πr), plug in 31.4 for C, and solve for r

Now that you have the radius of 4.99746521, you round it up to 5 and solve the area formula with 5 in as r.

4 0
3 years ago
Read 2 more answers
Use the Binomial Theorem and Pascal’s Triangle to write each binomial expansion.
tensa zangetsu [6.8K]

Answer

x^3-15x^2+75x-125

5 0
4 years ago
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