Answer:
C. 10z(x - 2y)
Step-by-step explanation:
10xz − 20y
Factor the terms
Factors of 10xz = 2 × 5 × x × z
Factors of -20yz = (-1) × 2 × 2 × 5 × y × z
Identify their greatest common factor
The common factors are 2, 5, and z. The greatest common factor is 10z.
Rewrite them with the GCF as a factor
10xz = 10z × x
-20yz = 10z × (-2y)
Replace the terms in the original expression with the factored terms
10xz − 20yz = 10z(x) + 10z(-2y)
Use the distributive property to isolate the greatest common factor
10z(x) + 10z(-2y) = 10z(x - 2y)
The foci of an ellipse are (c,0) & (-c,0)
Where c² = a² - b²
The major axis is 34 feet
So 2a = 34
Dividing by 2 on both sides
a = 17
Also minor axis is 16 feet
So 2b = 16
Dividing by 2 on both sides
b = 8
Now we know
c² = a² - b²
c² = 17² - 8² = 289 - 64 = 225
Taking square root on both sides
c = 15 feet
Now the two foci are (15,0) & (-15,0)
Distance between these points is 15 - (-15) = 15 + 15 = 30
The distance between the two foci is 30 feet.
New perimeter will be equal = old perimeter*3=36*3=108
Answer:
a) 11
c) 18
d) -25
Step-by-step explanation:
a)
Substitute: 3|-2| + 5|-1|
Absolute value is positive: 3(2)+5(1)
Simplify: 6+5
Simplify: 11
c)
Substitute: 4|-2| +8-(-2)
Absolute value is positive: 4(2)+8-(-2)
Simplify: 8+8+2
Simplify: 18
d)
Substitute: -3|-5|+2(-5)
Absolute value is positive: -3(5)+2(-5)
Simplify: -15-10
Simplify: -25
Answer:
13c+1
Step-by-step explanation:
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