Answer:
x=-3
Step-by-step explanation:
2
−
1
⋅
1
2
=
6
2-1 \cdot \frac{12}{x}=6
2−1⋅x12=6
Solve
1
Combine multiplied terms into a single fraction
2
−
1
⋅
1
2
=
6
2
+
−
1
⋅
1
2
=
6
2
Multiply the numbers
2
+
−
1
⋅
1
2
=
6
2
+
−
1
2
=
6
3
Subtract
2
2
2
from both sides of the equation
2
+
−
1
2
=
6
2
+
−
1
2
−
2
=
6
−
2
4
Simplify
Subtract the numbers
Subtract the numbers
−
1
2
=
4
5
Multiply all terms by the same value to eliminate fraction denominators
−
1
2
=
4
⋅
−
1
2
=
⋅
4
6
Simplify
Cancel multiplied terms that are in the denominator
Re-order terms so constants are on the left
−
1
2
=
⋅
4
-12=x \cdot 4
−12=x⋅4
−
1
2
=
4
-12=4x
−12=4x
−
1
2
=
4
7
Divide both sides of the equation by the same term
−
1
2
=
4
−
1
2
4
=
4
4
8
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
=
−
3
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Solution
=
−
3
Answer:
180°
Step-by-step explanation:
Answer:
Hi there!
The correct answer is: 20
Step-by-step explanation:
knowing this a right triangle you can solve this problem in two ways
Method One: Pythagorean Theorem
a^2 + b^2 = c^2 then plug in the values
(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2
square root both sides and you get c = 20
Method Two: Pythagorean Identities
if you ever learned the Pythagorean identity 3,4,5
this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4
so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20
Hello!
I was going to try to use the slope formula, and solve for the y-intercept, but the given graph is hard to distinguish accurate ordered pairs. So, we will find the equation with the graph instead.
Looking at the graph, we can see that the y-intercept is negative. Also, we can also determine that each square represents one unit. So, the y-intercept has to be -3/2 or -1.5. That removes the choices A and C because the y-intercept is in between the values of -1 and -2.
Secondly, the graph has a positive slope. Why? When the x-values increase, the y-values increase. Also, when the x-values decrease, the y-values also decrease. This tells us that the graph has a positive slope (this doesn't remove any choices, but it helps to distinguish which graph has a positive or negative slope).
Finally, we know that if the slope is greater than one, then it is steeper (m > 1). But, if it's less than one, then it becomes less steep (0 < m < 1). Looking at the graph, the graph looks relatively steep (graphing the equations y = 5/7 x - 3/2 and y = 7/5x - 3/2 can help you see the differences between them).
Therefore, the equation of the line given by the graph is choice D, y = 7/5 x − 3/2.
Knowing the squareroot of 81 is 9, we can easily know that square root of 83 is close to 9.
9 to the closest tenth is 10.
Hope I helped :)
