Answer:
x = 27
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define equation</u>
4x + 10 = 3x + 37
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 3x on both sides: x + 10 = 37
- Subtract 10 on both sides: x = 27
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 4(27) + 10 = 3(27) + 37
- Multiply: 108 + 10 = 81 + 37
- Add: 118 = 118
And we have our final answer!
Answer:
The function y = -x whose reflection in the line y =x is itself.
Step-by-step explanation:
A reflection that maps every point of a figure to an image across a fixed line. Then the fixed line is called the line of reflection.
The reflection of the point (x,y) in the line y = x is the point (y, x).
Therefore, the function y = -x whose reflection in the line y =x is itself.
Symmetries of the function f(x)= -x is:
A function symmetric with respect to the y-axis is called an even function.
If f(-x) = f(x)
A function that is symmetric with respect to the origin is called an odd function.
if f(-x) = -f(x)
then, we must look at f(-x);
f(x) = -x
f(-x)= -(-x)= x = -f(x)
this function is symmetrical to with respect to origin.
Therefore, this function is an odd function.
Answer:
shorter base = 6 yd
longer base = 8 yd
area of playground = 42 yd^2
Step-by-step explanation:
The question tells you that the shorter side is equal to the width, which is 6 yds. The bases of the triangles on either side are 1 yd. Since there are two, add 1 twice to 6 (6+1+1). This gives you 8 yd for the longer base. You're right about the area, just use the trapezoid area formula: 1/2h(a+b).
Menjawab:
[(√1-p²) -3√p] / 2
Penjelasan langkah demi langkah:
Dari identitas trigonometri, pemuaiannya benar:
Cos (A + B) = cosAcosB-sinAsinB
Menerapkan ini dalam memperluas cos (x + 60).
cos (x + 60) = cosxcos60 - sinxsin60
Jika sinx = p = berlawanan / sisi miring
opp = p, hyp = 1
adj² = 1²-p²
adj = √1-p²
Cos (x) = adj / hyp = √1-p² / 1
Cos (x) = √1-p²
Cos60 = 1/2 dan sin60 = √3 / 2
Mengganti nilai-nilai ini ke dalam rumus
cos (x + 60) = cosxcos60 - sinxsin60
cos (x + 60) = √1-p² (1/2) - p (√3 / 2)
cos (x + 60) = (√1-p²) / 2 - √3p / 2
Temukan KPK tersebut
cos (x + 60) = [(√1-p²) -3√p] / 2
Oleh karena itu cos (x + 60) = [(√1-p²) -3√p] / 2
