Answer:
x=4 y=3
Step-by-step explanation:
y=x-1
2x-3y=-1
put x-1 in for y and solve
2x-3(x-1)=-1
2x-3x+3=-1
-x+3=-1
-x=-4
x=4
put 4 in for y and solve
y=4-1
y=3
We already know that the distance of all the planets are generally calculated by keeping the Sun as the main location point.
Explanation:
The distances of all the planets from the Sun in scientific notation and exponential form-
Mercury-
57
million kilometers.
Scientific notation-
5.7
⋅
10
7
km
Venus-
108
million kilometers.
Scientific notation-
1.08
⋅
10
8
km
Earth-
150
million kilometers
Scientific notation-
1.5
⋅
10
8
km
Mars-
228
million kilometers
Scientific notation-
2.28
⋅
10
8
km
Jupiter-
779
million kilometers
Scientific notation-
7.79
⋅
10
8
km
Saturn-
1.43
billion kilometers
Scientific notation-
1.43
⋅
10
9
km
Uranus-
2.88
billion kilometers
Scientific notation-
2.388
⋅
10
9
km
Neptune-
4.5
billion kilometers
Scientific notation-
4.5
⋅
10
9
km
59 is D
because with the point (-3,7) you substitute it into the equation, making it: 7=4x+b. solve for b. then you have y=4x+19. work out the algebra in the possible choices and whatever equals y=4x+19 will be the answer. in this case, its D.
60 is C
same as above, you do the algebra of the equation. bring the one over after doing distribution with the 4 and voila!
61 is A
a relatively easy one, all you do is the the slope -4 where m goes, and 3 where b goes. y= -4x+3
62 is C.
this one requires more work.
chose one of the points, in this case (2,7) and put them into the equation.
but wait, you need a slope!
you get that use the formula (y2-y1)/(x2-x1) which will be
(7-5)/(2-3) which will be
-2.
now you have y-7= -2(x-2)
voila!
63 is C. y= 1/2x+3
64 is B. (3, -5)
66 is B. negative. the line goes \ ( not / which is positive)
67 would be A. because it is positive and the I and the E are in the right places.
70 is C. 2/3. as before, remember we can but the points into this equation and have (6-4)/(3-0) which = 2/3
71 is D. y= 3x+10
72 is C. a third degree monomial
73 can't read
74 can't read
75 can't read.
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j. Hence, The vector AB is 16i + 12j.
<h3>How to find the vector?</h3>
If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Given;
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j.
magnitude
Unit vector in direction of resultant = (4i + 3j) / 5
Vector of magnitude 20 unit in direction of the resultant
= 20 x (4i + 3j) / 5
= 4 x (4i + 3j)
= 16i + 12j
Hence, The vector AB is 16i + 12j.
Learn more about vectors;
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