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ollegr [7]
3 years ago
10

On a coordinate plane, a line goes through (negative 4, 4) and (4, negative 2). A point is at (6, 0).

Mathematics
2 answers:
Lelechka [254]3 years ago
7 0
The answer is B......
NARA [144]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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A rectangle is (x+10)ft by (x+4)ft. If a square of length xft on a side is cut from the rectangle, represent the remaining area
Andrei [34K]

Answer: A(x)=14x+40

Step-by-step explanation:

Given : The dimension of a rectangle is  (x+10)ft. by (x+4)ft.

Then, Area of rectangle will be :-

A_1(x)=(x+10)\times(x+4)=x^2+(10+4)x+40\\\\\Rightarrow\ A_1(x)=x^2+14x+40

If a square of length xft on a side is cut from the rectangle, then the area of the square :-

A_2(x)=x^2

Now, the remaining area in the form of a polynomial function A(x) will be :-

A(x)=A_1(x)-A_2(x)\\\\=x^2+14x+40-x^2=14x+40

Hence, the  remaining area in the form of a polynomial function A(x) will be :-

A(x)=14x+40

7 0
3 years ago
Write an equation of a line that is perpendicular to 4x +2y = 8
Mashcka [7]

Answer:

Step-by-step explanation:

2y = -4x + 8

y = -2x + 4

perp. 1/2

y - 2 = 1/2(x - 6)

y - 2 = 1/2x - 3

y = 1/2x - 1

7 0
3 years ago
Taye recruits two people to be election campaign volunteers. The next week he ask each of those volunteers to recruit two more c
jeka94

Using a geometric sequence, it is found that:

a) For the first 5 weeks, the numbers are: 2, 4, 8, 16, 32

b) Hence some of the volunteers can stop recruiting new volunteers during the 7th week.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

For this problem, on the first week there are 2 people, and since each new people involve two more, the common ratio is of 2, hence the parameters for the geometric sequence are:

a_1 = 2, q = 2

Hence the number of people after n weeks is:

a_n = 2 \times 2^{n - 1}

For the first 5 weeks, the numbers are:

  • a_1 = 2 \times 2^{1 - 1} = 2
  • a_2 = 2 \times 2^{2 - 1} = 4
  • a_3 = 2 \times 2^{3 - 1} = 8
  • a_4 = 2 \times 2^{4 - 1} = 16
  • a_5 = 2 \times 2^{5 - 1} = 32

There will be 150 volunteers when a_n = 150, hence:

2 \times 2^{n - 1} = 150

2^{n-1} = 75

\frac{2^n}{2} = 75

2^n = 150

n = 7...

The above is because 2^7 = 128 and 2^8 = 256, and 128 < 150 < 256.

Hence some of the volunteers can stop recruiting new volunteers during the 7th week.

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

3 0
1 year ago
A circular mirror is surrounded by a square metal frame. The radius of the mirror is 3x. The side length of the metal frame is 1
Oliga [24]
8x means it’s divided by 5x +9
7 0
2 years ago
Gas mileage is the number of miles you can drive on one gallon of gas. a test of a new car results in 450 miles on 10 gallons of
In-s [12.5K]
A.
miles per gallon
given
450 miles on 10 gallons
450/10=45/1=45mi/1gal
45mpg

the milage is 45 miles per gallon



b.
60 gallons?
45 miles per gallon times 60 gallons=2700 miles
can travel 2700 miles with 45 gallons
6 0
3 years ago
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