10 units up means to add 10 to the y-coordinate of the vertex (h, k).
p(x) = 0.005(x - 40)² + 60
p(x) shifted up 10 units = 0.005(x - 40)² + (60 + 10)
q(x) = 0.005(x - 40)² + 70
<h3>
Answer: 5/162</h3>
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Work Shown:
A = probability of landing on an odd number
A = 5/9 because there are 5 odd numbers out of 9 total
B = probability of getting heads
B = 1/2
C = landing on 3 on the spinner
C = 1/9
Multiply the values of A,B,C
A*B*C = (5/9)*(1/2)*(1/9) = (5*1*1)/(9*2*9) = 5/162
Note: The fraction 5/162 converts to the approximate decimal 0.03086 which then converts to 3.086%, when rounding to the nearest tenth of a percent we get 3.1%
Answer:
It is given that , In ΔW X Y, Y X is perpendicular to W Z. Also, y w= w z.
To Prove: ΔW X Y ≅ ΔZ Y X
Proof:
In Δ W X Y and Z Y X
Y X ⊥ W Z→→→→Given
Y W= Y Z→→(Given)
∠YWX=∠YZX→→As, opposite sides of a triangle are equal, so angle opposite to them are equal.
∠YXW=∠YXZ→→Each being 90°
So, ΔYXW≅ΔYXZ→→[AAS]
Also, YX is common sides between two triangles.
ΔYXW≅ΔYXZ→→[HL]
So,the two triangles can be proved congruent by either AAS, or HL.
Answer:
y = 6x - 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 4 ← is in slope- intercept form
with slope m = 6
Parallel lines have equal slopes , then
y = 6x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 18 + c ⇒ c = - 1 - 18 = - 19
y = 6x - 19 ← equation of parallel line
Answer:
Answer:
Silk = x = 1.5 yards
Cotton = y = 2.75 yards
Step-by-step explanation:
x + y = 4.25
16.90x + 4y = 36.35
1. The solution to the equation represent number of yards of silk and number of yards of cotton bought.
2.
x + y = 4.25 (1)
16.90x + 4y = 36.35 (2)
Multiply (1) by 4
4x + 4y = 17 (3)
16.90x + 4y = 36.35 (2)
Subtract (3) from (2)
16.90x - 4x = 36.35 - 17
12.90x = 19.35
Divide both sides by 12.90
x = 19.35 / 12.90
= 1.5
x = 1.5 yards
Substitute x = 1.5 yards into (1)
x + y = 4.25
1.5 + y = 4.25
y = 4.25 - 1.5
= 2.75
y = 2.75 yards
Silk = x = 1.5 yards
Cotton = y = 2.75 yards
Step-by-step explanation:
