Answer:
Step-by-step explanation:
sin 52 cos 13-cos 52 sin 13=sin (52-13)=sin 39
You are asked to do this problem by graphing, which would be hard to do over the Internet unless you can do your drawing on paper and share the resulting image by uploading it to Brainly.
If this were homework or a test, you'd get full credit only if you follow the directions given.
If <span>The points(0,2) and (4,-10) lie on the same line, their slope is m = (2+10)/(-4), or m =-3. Thus, the equation of this line is y-2 = -3x, or y = -3x + 2.
If </span><span>points (-5,-3) and (2,11) lie on another line, the slope of this line is:
m = 14/7 = 2. Thus, the equation of the line is y-11 = 2(x-2), or y = 11+2x -4, or y = 2x + 7.
Where do the 2 lines intersect? Set the 2 equations equal to one another and solve for x:
</span>y = -3x + 2 = y = 2x + 7. Then 5x = 5, and x=1.
Subst. 1 for x in y = 2x + 7, we get y = 2(1) + 7 = 9.
That results in the point of intersection (2,9).
Doing this problem by graphing, on a calculator, produces a different result: (-1,5), which matches D.
I'd suggest you find and graph both lines yourself to verify this. If you want, see whether you can find the mistake in my calculations.
Answer:
A) 37:191
B)191:154
Step-by-step explanation:\
A) Mary's Savings= 185 Rs
Mary's Income= 955 Rs
Ratio = 185:955
= 185/955
=37/191 ( INTO LOWEST TERMS )
=37:191
B) Mary's Income= 955 Rs
Mary's Expenditure= ?? = Income- Saving = 955-185= 770
Ratio= 955:770
= 955/770
= 191/154 ( INTO LOWEST TERMS )
= 191:154
Answer:
Step-by-step explanation:
<u>Given line:</u>
It has a slope of 2/3.
<u>Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:</u>
<u>Find its equation provided it passes through the point (4, - 2):</u>
- y - (-2) = - 3/2(x - 4)
- y + 2 = - 3/2(x - 4)
Answer:
3 less than or equal to x less than or equal to 13
3 ≤ x ≤ 13
Step-by-step explanation: