The interior angle of a regular polygon
is 14 times larger than the exterior
angle.
How many sides does the polygon
have??

Answer:

(5x+1)(x+2)

Step-by-step explanation:

Factor 5x2+11x+2

5x2+11x+2

=(5x+1)(x+2)

Answer:

10x?

Step-by-step explanation:

for a polynomial of the form ax2 + bx + c, rewrite the middle term as a sum of two terms whose product is a*c = 5*2 = 10 and whose sum is b = 11

Slope of the new line parallel to the line whose equation is 8x − 6y = −24 will be  4/3

What is slope in straight line?

Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter 'm'.

y-y1=m(x-x1)

Given line,

8x − 6y = −24

6y = 8x +24

y = (8/6)x + 24/6

y = 4/3x + 4

slope, m=4/3

Since, the new line that passes is parallel to the line 8x − 6y = −24, the slope of the new line will be the same.

Therefore, Slope of the new line parallel to the line whose equation is 8x − 6y = −24 will be  4/3

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Answer:

-1.5

Step-by-step explanation:

negative times negative equals positive so:

1 +-6-(-3.5)

1 + -6 + 3.5

add

-5 + 3.5

-1.5

Answer:

1.5 please like! mark brainliest

Step-by-step explanation:

Answer:

t2=15

t3=28

t4=41

first term (a)=2

common difference (d)=13

General terms tn=a+(n-1)d

Answer:

1436.03 mm³

Step-by-step explanation:

I believe the 7mm should be the radius?

The volume of a sphere is [tex]\frac{4}{3}[/tex]πr³

[tex]\frac{4}{3}[/tex]π * 343

since pi is rounded to 3.14, we get

1436.026 mm³

Answer:

I think its C. correct me if I'm wrong

Step-by-step explanation:

Answer:

C. 13

Step-by-step explanation:

65% = 65/100

divide 65 by 5= 13

why? because each answer is worth 5 marks so we divide the total by 5.

Answer:

C

Step-by-step explanation:

Answer:

13×(22/7)whole square

Answer:

42.25π

Step-by-step explanation:

The circumference is the diameter times pi.

This means that 13π/π=13 (the diameter)

The radius is diameter/2, so it is 13/2 which is 6.5

The area is the radius squared times pi

6.5^2 = 42.25

42.25π is the area

The descriptions of the quadratic functions f(x) and g(x) are as follows:

f(x) = [tex]-2x^{2} +9[/tex]

x g(x)

0 −5

1 3

2 11

3 3

4 −5

Which sentence compares the two functions' maximum values the most effectively?

(a)The maximum value is the same for both functions.

(b) f(x) has a greater maximum value than g(x).

(c) The greatest value of g(x) is bigger than that of f(x).

(d) The maximum values cannot be determined.

The statement that best compares the maximum value of the two functions is g(x) has a greater maximum value than f(x) that is Option (c).

The maximum value is the point at which a function reaches its peak is known as its maximum value.

To compare both functions.

Take function f(x)= [tex]-2x^{2} +9[/tex]

Differentiate the function f(x)

f'(x) = -4x

Take f'(x) as 0

-4x = 0

x = 0

Substitute x = 0 in f(x)

f(0) = [tex]-2(0)^{2} +9[/tex]

f(0) = 9

This means that the greater value of function f(x) is 9.

From the table of function g(x), the maximum is 11.

11 is greater than 9

Therefore, The greater value of g(x) is bigger than that of f(x).

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Answer: 1.)2.29   2.)16.21   3.)6.3  4.)20.555  5.)52.29

1.)12.74  2.)2.832  3.)14.25  4.)333.98  5.)77.4 Glade to help

Step-by-step explanation:

Answer:

The third number is two more than the second number, so it is x+2+2, or simply x+4. Solve for x by combining like terms. The first number is 2, the second is 4, and the third is 6. When we add them together, we have 2+4+6=12.

Answer:

2,4,6

Step-by-step explanation:

first consecutive even number is X , then X+ 2 and X+4

sum = X + X+ 2 + X +4 = 12 then solve

Step-by-step explanation:

B) not an arithmetic sequence

 d not equal in the sequence

Answer:

1300/628

Step-by-step explanation:

Answer: a. AB = 15cm long.

b. AB = 11.1cm long.

Step-by-step explanation: Image of AB after a dilation of scale factor 5 is 5 × 3cm = 15cm long.

Image of AB after a dilation of scale factor 3.7 is 3cm × 3.7 = 11.1cm long.

Answer: B

Step-by-step explanation:

Step-by-step explanation:

f(0)=8

Coordinate: (0,8)

y intercept,c: 8

f(4)=20

Coordinate: (4,20)

gradient, m

= (20-8)/(4-0)

=3

Y=mx+c

f(x)=3x+8

f(x)=3x+8 is the  linear function f with the values f(0) = 8 and f(4) = 20.

A linear function is a function that represents a straight line on the coordinate plane.

The given functions are f(0)=8 and f(4) =20

For f(0)=8

Coordinate: (0,8)

y intercept, c: 8

For f(4)=20

Coordinate: (4,20)

gradient or slope, m when x₁=0,y₁=8,x₂=4, y₂=20

=( y₂-y₁)/(x₂-x₁)

= (20-8)/(4-0)=12/4

=3

The linear equation is in the form, y=mx+c

So f(x)=3x+8, where 3 is the slope and 8 is y intercept.

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Answer:

Step-by-step explanation:

15/100 x 100

100 on the right hand side being the oysters she must collect and the 15% being the percentage of oysters she has collected divided by 100 which is used when finding out the percentage of numbers

Answer-

Total kicks that were attempted = 40

Explanation

Goals blocked by Kyra = 55%;

Goals which could not be blocked by Kyra = 100 - 55 = 45%

Goals made during team drill = 18

Let total kicks attempted be 'n';

Therefore;

(18/n) × 100 % = 45 %

18/n = 45/100;

n = 1800/45;

n = 40

The time period "percentage" is derived from the Latin per centum, which means "hundred" or "with the aid of the hundred".[5][6] The sign for "percentage" evolved via gradual contraction of the Italian term in line with cento, which means "for 100". The "according to" turned into regularly abbreviated as "p."—subsequently disappeared completely. The "cento" was reduced in size to two circles separated through a horizontal line, from which the present day "%" image is derived.

In mathematics, a percentage (from Latin: in line with centum, "by a hundred") is quite a number or ratio expressed as a fraction of 100. it's miles often denoted using the percentage signal, "%",[1] although the abbreviations "pct.", "pct" and sometimes "pc" also are used.[2] A percentage is a dimensionless number (natural wide variety); it has no unit of size.

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Answer:

Step-by-step explanation:

Solutions

Solution: Using a table

A B C D E F

Number of Minutes 150 15 7.5 30 45 60

Number of Miles 20 2 1 4 6 8

The values in column B were found by dividing both values in column A by 10. The values in column C were found by dividing both values in column B by 2. The other columns contain multiples of the values in column B.

If we look in column E, we can see that it would take her 45 minutes to run 6 miles.

If we look in column B, we can see that she could run 2 miles in 15 minutes.

If we look in column F, we can see that she is running 8 miles every 60 minutes (which is 1 hour), so she is running 8 miles per hour.

If we look in column C, we can see that her pace is 7.5 minutes per mile.

Solution: Finding a unit rate

If we divide 150 by 20, we get the unit rate for the ratio 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5minutesmile×6 miles=45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

Step-by-step explanation:

to find f(6) we basically see which y coordinate correlates with x = 6

in this case the answer is 5

Answer:

(0, 7)

Step-by-step explanation:

Using the midpoint formula expressed as;

M (X, Y )= [(ax1+bx2/a+b), (ay1+by2/a+b)]

where a and b are the ratios

Given

a = 2

b = 1

x1 = -3

y1 = 6

x2 = 6

y2 = 9

Get the coordinate of B

Get X;

X = ax1+bx2/a+b

X = 2(-3)+1(6)/2+1

X = -6+6/3

X = 0/3

X = 0

Get Y;

Y = ay1+by2/a+b

Y = 2(6)+1(9)/2+1

Y = 12+9/3

Y = 21/3

Y = 7

Hence the coordinate of B is (0, 7)

Answer:

1 mile

Step-by-step explanation:

Step one:

given

total distance = 15miles

Jack walks at a pace of 1.5 miles per hour

after 4 hours he will cover a distance of

1.5*4= 6 miles

Jill walks at a pace of 2 miles per hour

after 4 hours he will cover a distance of

2*4= 8 miles

Step two:

The total distance jack and jill must have covered after 4 hours is

8+6= 14 miles

the distance apart will be 15-14= 1 mile