Answer:
(44, - 27 )
Step-by-step explanation:
Given the 2 equations
5x + 8y = 4 → (1)
2x + 3y = 7 → (2)
Multiplying (1) by 2 and (2) by - 5 , then adding the result will eliminate x
10x + 16y = 8 → (3)
- 10x - 15y = - 35 → (4)
Add (3) and (4) term by term to eliminate x
y = - 27
Substitute y = - 27 into either of the 2 equations and solve for x
Substituting into (2)
2x + 3(- 27) = 7
2x - 81 = 7 ( add 81 to both sides )
2x = 88 ( divide both sides by 2 )
x = 44
solution is (44, - 27 )
Answer:
180-90=90
90÷2=45
answer is 45
Step-by-step explanation:
To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
Answer:
A⇒35 km/hr
B⇒25 km/hr
Step-by-step explanation:
Let us call them cyclist A and B.
The rate of cyclist A will be x km/h
The rate of cyclist B will be (x-10) km/h
The total distance traveled= 120 km
Time taken =2 hours
Relative speed, since they are travelling in different directions, is arrived at by addition of their individual speeds = {x+ (x-10)}km/hr (2x-10)km/hr
Distance =speed × time
120km = (2x-10)km/hr×2
120=4x-20
4x=140
x= 35 km/hr⇒ speed for cyclist A
B⇒ (x-10) km/hr=35-10=25 km/hr
Answer:
No
Step-by-step explanation:
By using the Pythagoras theorem, it can be easily determined that whether the triangle is right triangle or not.
Thus, where where a and b are the legs and c is the hypotenuse.
Let a=6ft, b=21ft and c=23ft, then
which is not possible, therefore the given triangle is not right triangle because it does not satisfy the Pythagoras theorem.
Answer:
8cm
Step-by-step explanation:
Since the area of a square is Side X Side (s x s) it is also s². The s² is also equivalent = 64cm². To find the length of a side you do the √64cm² and you get 8cm for a side. Great Job!