9514 1404 393
Answer:
17. 5
18. 17
Step-by-step explanation:
The distance formula is used for the purpose.
d = √((x2 -x1)² +(y2 -y1)²)
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17. d = √((3-6)² +(1-5)²) = √((-3)² +(-4)²) = √(9+16) = √25 = 5
The distance between the points is 5 units.
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18. d = √((-1-7)² +(12-(-3))²) = √(64 +225) = √289 = 17
The distance between the points is 17 units.
Answer:
4r + 4(r + 3) = 68
r = 7 miles per hour
r + 3 = 10 miles per hour
Step-by-step explanation:
distance = rate * time
a)
4r + 4(r + 3) = 68
Distribute
4r + 4r + 12 = 68
8r + 12 = 68
8r = 56
r = 7 miles per hour
r + 3 = 10 miles per hour
Answer:
x = - 9 , 6
Step-by-step explanation:
The given function is
⇒ 
Therefore, the value of h(x) will be undefined for the denominator equal to zero.
So, (x + 9)(x - 6) = 0
⇒ x = - 9 and x = 6
Therefore, the values of x which are not in domain of function h(x) are x = - 9 , 6. (Answer)
Answer:
9/35
Step-by-step explanation:
Let x be the total trip distance.
Since Maria is assigned to drive 3/7 of the total trip, she is to drive 3x/7.
Now, since Maria has driven 3/5 of 3x/7, the amount of the total trip she has driven is 3/5 × 3x/7 = 9x/35.
So, Maria has driven 9/35 of the total trip.
Since x is across from 148, and arcs opposite inscribed angles = 2×angle, then we can find x first.
We could set the 2 angles equal to 180 or their arcs equal to 360.
360 - (2×148) = x-arc
x-arc = 360 - 296 = 64
x = x-arc ÷2 = 64/2 = 32
Now for angle A we plug in for x:
A = 2x+1 = 2(32)+1 = 65°
