Step-by-step explanation:
Subtract a from both sides
a-a+b-___=a-a
b-__=0
b=___
answer:b
Hope that helps :)
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.
By pythagoreans' theorem,
Longer edge
= √(2² + 6²)
= √40
∴ The length of the longer edge is the square root of 40 feet.
Shorter edge
= √(1² + 3²)
= √10
Area = L × B
= √40 × √10
= 20 feet²
Answer:
<u>A. Nicholas will have to pay less using plan A</u>
<u>B. He will pay US$ 4 less than plan B</u>
Step-by-step explanation:
Let's compare how much Nicholas will pay on internet service in Plan A and plan B, after using it 16 hours and 40 minutes.
Plan A
Up to 10 hours = US$ 6
Every subsequent 1/2 hour: $1
10 hours + 14 (1/2 hour)
<u>Nicholas will pay 6 + 14 * 1 = US$ 20</u>
Plan B
Up to 12 hours = US$ 4
Every subsequent 1/2 hour: $2
12 hours + 10 (1/2 hour)
<u>Nicholas will pay 4 + 2 * 10 = 24</u>
Answer:
<em>Since one of the angles is 90°, the triangle is right.</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
The sum of angles in a triangle is 180°. We are given the angles are x, 5x, and 6x, thus:
x + 5x + 6x = 180
Simplifying:
12x = 180
Dividing by 12:
x = 180/12 = 15
x = 15°
5x = 75°
6x = 90°
Since one of the angles is 90°, the triangle is right.
