-5a - 12a can also be rewritten as:
-5a + -12a, which would equal -17a
Answer:
5) x = 24
6) x = 48
Step-by-step explanation:
I'd be glad to help :)
For question 5, we know that 62 and the unknown angle is a straight angle, so 62+y = 180. y = 118. We also know all the angles in a triangle add up to 180, so x+(x+14)+118 = 180. Therefore, 2x+132 = 180. We now know that 2x = 48, so x = 24 for question 5.
For question 6, We know that because the line is divided up, (x+35) can be moved down a line, so (2x+1)+(x+35) = 180, so 3x+36 = 180. We now know that x = 48 for question 6
17
85/17 is 5 and 51/17 is 3
Answer:
Step-by-step explanation:
i) 1
ii) see attached
iii) as x goes from 0 to 2, y decreases parabolically from 1 to an acme at -3
iv) y = (x - 2)² - 3
v) -3 < t < 1
if t < -3 no intersection occurs between y = t and y = (x - 2)² - 3
if t = -3, y = t intersects the curve at only one point, (2, -3)
if -3 < t < 1 there exist two intersecting points with positive x values
if t = 1 there exist only one positive x value intersection as the other is at (0, 1) and 0 is neither positive nor negative.
if t > 1 there is one positive x value intersection and one negative x value intersection.
Answer:
214....
Step-by-step explanation:
If the question is : solve 4 by 216 raise to minus 2 by 3 + 1 by 256 raise to minus 3 by 4 + 2 by 243 raise to minus 1 by 5
The given expression can be written as:
4/(216)-2/3+1/(256)-3/4+2/(243)-1/5
This expression has three terms.
Notice that the exponents are negative:
We will change the division into multiplication so that the exponents will become positive;
4*(216)^2/3+ 1*(256)^3/4+ 2*(243)^1/5
If we multiply 6 three times it will give us 6^3=6*6*6=216
If we multiply 4 four times it will give us 4^4=4*4*4*4=256
If we multiply 3 five times it will give us 3^5=3*3*3*3*3=243
So we will write it as:
=4*(6^3)^2/3+ 1(4^4)3/4 +2(3^5)^1/5
=4(6)^2+(4)^3+2(3)
=4*36+64+6
=144+64+6
=214
The answer is 214....
