Answer:
Where exactly is <T?
Step-by-step explanation:
Either way I will say it's 66 degrees or cannot be determined. Either of those
C. The first is a solution, but the second is not.
5x - y/3 = 13 ; (2,-9)
substitute the letters:
5(2) - (-9/3) = 13
10 - (-3) = 13 : note that deducting a number with a negative sign turns both sign as positive.
10 + 3 = 13 ;
13 = 13
5x - y/3 = 13 ; (3,-6)
5(3) - (-6/3) = 13
15 - (-2) = 13
15 + 2 = 13
17 = 13 not equal. not a solution
The opposite operation to taking a derivative is an integral. Integrate to find original function.
f(x) = x^2 + x + C
C is constant because we didn't have bounds on the integral. it lets you choose the input value let's say is just (1,0)
0 = 1 + 1 + C
- 2 = C
function at input value (1,0)
f(x) = x^2 + x - 2
now if you check by taking derivative is :
f' = 2x + 1
For question 7, if we add all votes for tiger and eagle, we get
tiger = 14 + 13 + 8 + 5 = 40
eagle = 6 + 7 + 12 + 15 = 40
so choices A and B are wrong.
C is also wrong because fifth and sixth grade votes for eagle are 6 + 7 = 13 and the 5th and 6th grade votes for tiger are 14 + 13 = 27. clearly 5th + 6th like tiger more.
D is the answer for question 7
question 8
rolling a cube does not affect the other cube so it is all independent probability.
cube: 1 2 3 4 5 6
3 even numbers and 3 odd numbers
so probability of rolling an even number is
1/6 + 1/6 + 1/6 = 3/6 = 1/2
multiplying by total number of rolls, she will get even numberss
300 * 1/2 = 150
about 150 time.
so half of the time, Cassie will roll and even number about half the number of rolls. never exactly since this is all probability. more likely for it to be around 150 times than exactly 150 time.
choice C is answer for question 8
answer:
in order to construct 75°, you need to use a protractor and a compass
step-by-step explanation:
here is a step-by-step explanation from an online source
- step 1: draw a line segment with endpoint O and A
- step 2: draw an arc with O as centre cutting the line segment OA at point B with a compass
- step 3: keeping the radius same, draw an arc with B as centre cutting the arc at C
- step 4: keeping the radius same, and C as the center, draw an arc intersecting the arc drawn in the previous step at D
- step 5: with any radius, draw two arcs with C and D as a center. intersect these two arcs at E
- step 6: join OE. angle EOA is the angle with measurement of 90 degrees
- step 7: now the line OE intersect the arc at the point F
- step 8: taking F and C as a center, make an arc with a radius of more than half of the measurement FC. the arc intersects at point H
- step 9: join the point H and O. angle HOA is the angle obtained of measurement 75 degrees
- step 10: angle HOA is the desired angle
