Answer:
<h2>x = 30°</h2>
Step-by-step explanation:
The angle 30° and 2x are complementary angles.
Two angles are called complementary angles, if their sum is one right angle (90°).
Therefore we have the equation:
30 + 2x = 90 <em>subtract 30 from both sides</em>
2x = 60 <em>divide both sides by 2</em>
x = 30
Answer:
7/20
Step-by-step explanation:
7/10 ÷ 2/1 is the same as 7/10 * 1/2 which is 7/20
Answer: 120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]
Step-by-step explanation:
=24x(x^2 + 1)4(x^3 + 1)5 + 42x^2(x^2 + 1)5(x^3 + 1)4
Remove the brackets first
=[(24x^3 +24x)(4x^3 + 4)]5 + [(42x^4 +42x^2)(5x^3 + 5)4]
=[(96x^6 + 96x^3 +96x^4 + 96x)5] + [(210x^7 + 210x^4 + 210x^5 + 210x^2)4]
=(480x^6 + 480x^3 + 480x^4 + 480x) + (840x^7 + 840x^4 + 840x^5 + 840x^2)
Then the common:
=[480(x^6 + x^3 + x^4 + x) + 840(x^7 + x^4 + x^5 + x^2)]
=120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]
Answer:
216
Step-by-step explanation:
108 x 2 = 216
9514 1404 393
Answer:
y +4 = -5/14(x -7)
Step-by-step explanation:
The slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (1 -(-4))/(-7-7) = 5/-14 = -5/14
The point-slope form is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Filling in the given values, we have ...
y +4 = -5/14(x -7)
