Answer:
Step-by-step explanation:
(a + b)² =a² + 2ab + b²
(a -b)² = a² - 2ab + b²
1) y = (x -1)²
y= x² - 2*x*1 + 1
y = x² - 2x + 1
Ans: C
2)y = (x +4)² + 5
y = x² +2*x*4 + 4² + 5
= x² + 8x + 16 + 5
y = x² + 8x + 21
C
3) y = -(x + 9)²- 10
y = - [x² + 18x + 81] - 10
= -x² - 18x - 81 - 10
y =-x² - 18x - 91
B
4) y = 3(x + 2)² - 18
y =3 [x² + 4x + 4] - 18
y = 3x² + 12x + 12 - 18
y =3x² + 12x - 6
A
5) y = -2(x + 1)² - 16
= -2[x² + 2x + 1] -16
= -2x² - 4x - 2 - 16
y = -2x² - 4x - 18
A
6) y = 5(x + 5)²
=5[x²+ 10x + 25]
y = 5x² +50x + 125
A
7)y = (1/2)(x + 8)² - 8
y = (1/2) (x² + 16x + 64) - 8
A
8) y = (x + 3/2)² + 3/4
C
9) y = 2[x² + 16x + 64] - 5x
y = 2x² + 32x + 64 - 5x
y =2x² + 27x + 6
Answer: you have worked 15 hours
Step-by-step explanation: i multiplied $11.45 and 15 which got me to $171.75 your welcome ;)
Answer:
Step-by-step explanation:
Given: i. AB||DE
ii. AC≅DC
Prove: ΔABC≅ΔDEC
From the two triangles, it can be observed that;
m<BAC≅m<EDC (alternate angles)
m<ABC≅m<DEC (alternate angles)
m<BCA≅m<ECD (vertically opposite angles)
m<BAC + m<ABC + m<BCA = m<EDC + m<DEC + m<ECD = (sum of angles in a triangle)
Since the three angles of the triangles are congruent respectively, then;
ΔABC≅ΔDEC (AAA congruence property)
Answer:
a. 5
b. -3
Step-by-step explanation:
a. (5*(8^1/3 + 27^1/3)^3)^1/4
= ((40^1/3 + 135^1/3)^3)^1/4
≈ ((3.42 + 5.13)^3)^1/4
≈ (8.55^3)^1/4
≈ 625^4
= 5
b. 64^-1/3*(64^1/3 - 64^2/3)
= 0.25*(4 - 16)
= 1/4 or 0.25 *-12
= -12*1 / 4
= -12/4
= -3
Hope this helped :3
Answer:
1) 85
2) 150
Step-by-step explanation:
The measure of a minor arc is EQUAL to the central angle
"The measure of a minor arc is equal to the measure of the central angle that intercepts the arc. We can also say that the measure of a minor arc is equal to the measure of the central angle that is subtended by the arc."