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Romashka [77]
3 years ago
12

Which of the following equations, written in standard form, is parallel to the line y = 6x + 11 and contains the point (-5, 1)?

Mathematics
1 answer:
erica [24]3 years ago
6 0
Y = 6x + 11....slope here is 6. A parallel line will have the same slope.

y = mx + b
slope(m) = 6
(-5,1)...x = -5 and y = 1
now we sub and find b, the y int
1 = 6(-5) + b
1 = -30 + b
1 + 30 = b
31 = b

so ur equation is : y = 6x + 31...but we need it in standard form

y = 6x + 31
-6x + y = 31 ...multiply by -1 to make the x term positive
6x - y = -31 <===

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Q7.
VLD [36.1K]

Answer:

10

Step-by-step explanation:

Let c = sum of ages of all children.

mean age of all children = c/15 = 7

c = 15 * 7 = 105

The sum of the ages of all children is 105.

Let b = sum of ages of the 9 boys.

mean age of boys = b/9 = 5

b = 9 * 5 = 45

The sum of the ages of the boys is 45.

The sum of the ages of the girls is c - b.

c - b = 105 - 45 = 60

The number of girls is 15 - 9 = 6

mean age of girls = (sum of ages of the girls)/(number of girls) =

= 60/6 = 10

3 0
3 years ago
The number of bacteria growing in an incubation culture increases with time according to n left parenthesis t right parenthesis
Anon25 [30]
For this case we have the following function:
 n (t) = 2400 * (5) ^ t 
 For n (t) = 60000 we have:
 60000 = 2400 * (5) ^ t
 We clear the value of t.
 For this we use the logarithm:
 (5) ^ t = 60000/2400
 log5 ((5) ^ t) = log5 (60000/2400)
 t = log5 (60000/2400)
 t = 2 days
 Answer:
 
the number of bacteria in the culture will be 60 comma 000 after:
 
t = 2 days
5 0
3 years ago
True or False: You can tell if two ratios form a proportion if their cross products are equal. True O False​
daser333 [38]

Answer:

Step-by-step explanation:

False

7 0
2 years ago
What is the surface area of a sphere with a volume of 3680 cubic centimeters?
dedylja [7]
The surface area will be 456.2 to the second power
7 0
3 years ago
Age c) The group is planning to build a fence around the garden. How many yards of fencing materials do they need for the fence?
FromTheMoon [43]

Answer:

Step-by-step explanation:

The perimeter is obtained by taking the sun of the fence :

Outer fencing :

Let's obtain b :

From Pythagoras :

b² = 15² - 12²

b = sqrt(225 - 144)

b = 9

Outer fencing = 2(12+6) + 2(8+9)

= 2(18) + 2(17)

= 36 + 34

= 70

Inner fencing :

(8 + 9 + 12 + 6 + 15 + 10) = 60

(70 + 60) = 130 yards

3 0
2 years ago
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