The answer is = -4a^2 + 4a -15
Answer:
There are 8 boys.
Step-by-step explanation:
2/5 = x/20
Set it up as a proportion.
2*20=5x
Cross Multiply
40=5×
40/5=x
8=x
Solve for x
Answer: ↓↓↓Btw sorry its not in order
Step-by-step explanation:
m∠62 and ∠g are vertical angles so they're congruent.
∠g = 62°
∠f and m∠62 are linear pairs so they're supplementary
∠f + 62 = 180
∠f = 118°
∠e is a right angle and is supplementary to a 90° angle
∠e = 90°
Adding ∠e, m∠28° and the missing angle should sum up to 180° since its a triangle. x = missing angle
x + ∠e + m∠28 = 180°
x + 90 + 28 = 180
x + 118 = 180
x = 62°
∠h ≅ x
∠h ≅ 62
∠h = 62°
∠b and m∠28 are vertical angles so they're congruent.
∠b ≅ m∠28
∠b = 28°
∠b and ∠a are linear pairs so they are supplementary.
∠a + ∠b = 180
∠a + 28 = 180
∠a = 152°
∠c and ∠a are corresponding angles so they're congruent.
∠c ≅ ∠a
∠c ≅ 152
∠c = 152°
∠c and ∠j are vertical angles so they're congruent.
∠j ≅ ∠c
∠j ≅ 152
∠j = 152°
The corresponding angle of c is 152° as well. Let's call it y. Y corresponds to the angle with a bisector. Call that whole angle z.
z ≅ y
z ≅ 152
z = 152°
Z has a bisector meaning the two angles that formed because of the bisector are congruent.
∠d and the other angle add up to 152°. They're equal.
∠d = 152 ÷ 2
∠d = 76°
Hope I helped!
Quadratic function ( in standard form ):
y = a x² + b x + c
x = 0:
635 = 0 + 0 + c
c = 635
x = 1:
644 = a + b + 635
a + b = 9
x = 2:
719 = 4 a + 2 b + 635
4 a + 2 b = 84
and now we have a system:
a + b = 9 / * ( - 2 )
4 a + 2 b = 84
-------------------------
- 2 a + 2 b = - 18
+
4 a + 2 b = 84
-------------------------
2 a = 66
a = 33; b = - 24;
Function is:
f ( x ) = 33 x² - 24 x + 635
f ( 8 ) = 33 * 64 - 24 * 8 + 635 = 2,112 - 192 + 635 = 2,555
Answer: The number of waterfowl on week 8 would be 2,555.
Answer:
Step-by-step explanation:
The equation of line having slope and passing through .