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Jet001 [13]
2 years ago
12

Solve for the value of x A) 12 B) 42 C) -12 D) -42

Mathematics
1 answer:
pentagon [3]2 years ago
3 0
The angles of a triangle will always add up to be 180 degrees total.

x + 82 + x + 82 + 40 = 180
2x + 164 + 40 = 180
2x + 204 = 180
Subtract 204 from both sides.
Think of it as “180 + (-204)”
2x = -24
Divide each side by 2.
x = -12

Answer: x = -12
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3 0
3 years ago
Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

f(x) = a\, (x - (-3))\, (x - 5).

Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

f(x) = a\, (x^{2} - 2\, x - 15).

(Quadratic functions are polynomials of degree two. If this function has any factor other than (x - (-3)) and (x - 5), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

6 0
2 years ago
2/3 (t+5) = 8<br><br>what does t equal?​
Galina-37 [17]
Hey bro use an app called photo math it tells you ghe answer and teaches you how to do it
6 0
2 years ago
Given the line below.
Elza [17]

The slope of that line is -1, so m = -1.

The point you were told to use is (-2,2), so point-slope form starts as:

   ( y - 2 ) = -1 • ( x - (-2) )

But we'd clean up that x-(-2) to be x+2.

   y - 2 = -1 ( x+2 )

7 0
3 years ago
2.6 written as a reduced fraction?
beks73 [17]
13/5 or 2 3/5 by the way nice profile picture
8 0
3 years ago
Read 2 more answers
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