Answer:
7x-5 in
Step-by-step explanation:
(8x + 2)+(5x+12)+(8x + 2)+?=28x+11
8x+2+5x+12+8x+2+?=28x+11
8x+5x+8x+2+12+2+?=28x+11
13x+8x+16+?=28x+11
21x+16+?=28x+11
21x-21x+16+?=28x-21x+11
16+?=7x+11
16-16+?=7x+11-16
?=7x-5 in
Answer:
none of the above
Step-by-step explanation:
You can try the points in the equations (none works in any equation), or you can plot the points and lines (see attached). <em>You will not find any of the offered answer choices goes through the given points</em>.
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You can start with the 2-point form of the equation of a line. For points (x1, y1) and (x2, y2) that equation is ...
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in the given points, we get ...
y = (3 -1)/(2 -4)·(x -4) +1
y = 2/(-2)(x -4) +1 . . . . . simplify a bit
y = -x +4 +1 . . . . . . . . . simplify more
y = -x +5 . . . . . . . . . . . slope-intercept form
Answer:
13, 22, 31
Step-by-step explanation:
a(n) = a +(n-1)d
a=4
d=9
°.° a(n) = 4 +(n–1)9
a(2) = 4 +(2–1)9
=13
a(3) = 4 +(3–1)9
=22
a(4) = 4 +(4–1)9
=31
hope this helps
Answer:
4
Step-by-step explanation:
<em>When rotating a point 90 degrees counterclockwise about the origin the point A(x,y) becomes A'(-y,x). </em>
Point C has coordinates of (4, 3)
New coordinates will be C'(-3, 4)
<u>So the answer is:</u>
y-coordinate of C' is 4
<span>We are given that ||e|| = 1, ||f|| = 1. </span>
<span>Since ||e + f|| = sqrt(3/2), we have </span>
<span>3/2 = (e + f) dot (e + f) </span>
<span>= (e dot e) + 2(e dot f) + (f dot f) </span>
<span>= ||e||^2 + 2(e dot f) + ||f||^2 </span>
<span>= 1^2 + 2(e dot f) + 1^2 </span>
<span>= 2 + 2(e dot f). </span>
<span>So e dot f = -1/4. </span>
<span>Therefore, </span>
<span>||2e - 3f||^2 = (2e - 3f) dot (2e - 3f) </span>
<span>= 4(e dot e) - 12(e dot f) + 9(f dot f) </span>
<span>= 4||e||^2 - 12(e dot f) + 9||f||^2 </span>
<span>= 4(1)^2 - 12(-1/4) + 9(1)^2 </span>
<span>= 4 + 3 + 9 </span>
<span>= 16. </span>