Answer:
5 and 6
Step-by-step explanation:
Answer:
something that motivates me is music
Step-by-step explanation:
since I can't work with music that makes me sing i listen to lofi music. try listening to chilled cow lofi study music
Answer:
The values of x and y to the given equation are x=3 and y=-1
The solution to the given equation is (3,-1)
Step-by-step explanation:
Given equations are 
To solve given equations by using elimination method :
Mutliply the equation (2) into 2 we get
Now adding the equations (1) and (3)
_______________
Therefore y=-1
Now substitute the value of y=-1 in the equation (1) we get
-2x+3(-1)=-9
-2x-3=-9
-2x=-9+3
Therefore x=3
The values of x and y to the given equation are x=3 and y=-1
The solution to the given equation is (3,-1)
Triangle ABC is an isosceles triangle.
Solution:
Given data:
∠ABC = 70° and ∠ACD = 55°
<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>
m∠BAC = m∠ACD
m∠BAC = 55°
<em>Sum of the angles in a straight line add up to 180°.</em>
m∠ACD + m∠ACB + m∠ABC = 180°
55° + m∠ACB + 70° = 180°
m∠ACB + 125° = 180°
Subtract 125° from both sides, we get
m∠ACB = 55°
In triangle ABC,
∠BAC = 55° and ∠ACB = 55°
∠BAC = ∠ACB
Two angles in the triangle are equal.
Therefor triangle ABC is an isosceles triangle.
Answer:
1999
Step-by-step explanation:
y = 0.2313(y - 1992)^2 + 2.600(y - 1992) + 35.17
verify with known data point
y = 0.2313(2004 - 1992)^2 + 2.600(2004 - 1992) + 35.17
y = 0.2313(12)^2 + 2.600(12) + 35.17
y = 27.9873 + 28.6 + 35.17
y = 99.6772 which verifies our equation
65 = 0.2313x² + 2.6x + 35.17
0 = 0.2313x² + 2.6x - 29.83
quadratic formula
x = (-2.6 ±√(2.6² - 4(0.2313)(-29.83))) / (2(0.2313))
x = (-2.6 + 5.86) / 0.4626 = 7.05 years
7.05 = y - 1992
y = 1999.05
