Answer:
Step-by-step explanation:
6/9+x=7/10
x=7/10-6/9
when adding fractions both denominators must be equal, we’ll make them 90
x=(7/10)(9/9)-(6/9)(10/10)
x=63/90-60/90
x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3
x=(3/3)/(90/3)
x=1/30
Answer:
26,664 inches
Step-by-step explanation:
Set up a proportion to solve this...
33 inches is to 1.25 miles as 'x' inches is to 1,010 miles
33/1.25 = x/1,010 now solve for x by cross multiplying
33,330 = 1.25x
33,330/1.25 = x
26,664 = x
Step 1
Given;
Required; To graph the inequality
Step 2
Graph the function
So by finding the x-intercept and y-intercept, we can determine where to draw the line. Since the inequality is greater than or equal to the line will be continuous and not broken. Also, we will know the area we will shade by;
Since if we set x=0, we get y < or equal to 2, then we know that the shaded area will be where y is equal to and below. There we will shade below the point (0,2) to represent the solution set.
Answer:
m∠AVF = 158°
Step-by-step explanation:
In the diagram attached,
m∠AVD = m∠BVE = m∠CVF = 90°
m∠CVD = 22°
∠AVB = ∠EVF
Since ∠AVD = ∠AVC + ∠CVD
Therefore, 90° = m∠AVC + 22°
m∠AVC = 90° - 22°
= 68°
Similarly, m∠CVF = m∠CVD + m∠DVF
90° = 22° + m∠DVF
m∠DVF = 68°
m∠AVC = m∠DVF = 68°
Now ∠AVF = ∠AVD + ∠DVF
= 90° + 68°
= 158°
Answer:
f(x) = 2(x + 3)²
Step-by-step explanation:
Parent Graph: f(x) = a(bx - h)² + k
<em>a</em> is vertical shrink/stretch
<em>b</em> is horizontal shrink/stretch
<em>h</em> is horizontal movement left/right
<em>k</em> is vertical movement up/down
<em>h, k</em> is vertex
Step 1: Define variables
h = -3
k = 0
a = 2
Step 2: Write quadratic
f(x) = 2(x + 3)²
