If the line y=4x+2 passes through the point (0,2), what other point will it pass through? There is more than one right answer.

Select one or more:
a. (1,6)
b. (4,14)
c. (3,12)
d. (2,10)

Answer:

b

Step-by-step explanation:

The arc length is, 720 ft.

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

Length of an arc is given by:

l = r Ф .....[1]

where r is the radius of the circle and  Ф is the angle in radian.

From the given information;

In a circle with a radius 8 ft with an arc AB intercepted by a central angle of pi/4 radians.

r = 8 ft and radian pi/4

Substitute these values in [1] we have;

l = r Ф

l = 8 x pi/4 ft.

l = 4 pi

l = 4 x 180

l = 720 ft

therefore, the arc length  is, 720 ft.

Learn more about angle, arc length relation here:

https://brainly.com/question/15451496

#SPJ5

Answer:

40/20 & 22/11

Step-by-step explanation:

To find an equivalent fraction to 4/2, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:By dividing the original fraction by 2, we get:4 ÷ 2 / 2 ÷ 2 = 21. By multiplying the original fraction by 2, we get:4 × 2 / 2 × 2 = 8/4. Here is the full list of equivalent fractions to 4/2. 2/1, 4/2, 6/3, 8/4, 10/5, 12/6, 14/7, 16/8, 18/9, 20/10, 22/11, 24/12, 26/13, 28/14, 30/15, 32/16, 34/17, 36/18, 38/19, 40/20...

Answer:

"His mistake was on line 1. He didn't distribute the negative sign (indicating a -1) to everything in the equation for y."

The correct solution is: x = -10, y = -38

Step-by-step explanation:

2x - y = 18

y = 4x + 2

Substitute the given value for y into the first equation:

2x - (4x + 2) = 18

2x - 4x - 2 = 18 ** here, he didn't distribute the (-) to everything in the parentheses that represents y

-2x -2 = 18

add 2 to both sides

-2x = 20

divide by -2

x = -10

-------------------

solve for y

y = 4x + 2

y = 4(-10) + 2

y = -40 + 2

y = -38

------------------

Check the math:

2x -  y = 18

2(-10) - (-38) = - 20 + 38 = 18

On soloing the provided question we can say that - Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area. A = 210-123 = 87 sq unit

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

the sum of the areas of the circle, the triangle, and the square.

Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area.

A = 210-123 = 87 sq unit

To know more about triangle visit:

brainly.com/question/2773823

#SPJ1

Answer:

I don't understand

Step-by-step explanation:

but hope u will understand

Answer:

3

Step-by-step explanation:

The capacity of the tank is 3000 liters

We would first find the volume of concrete:

(0.1*1.5*1*2)+(0.1*1.5*2(0.1*2))*2)+(0.1*1.2*2.2)

=0.3+0.66+0.264

=[tex]1.224 m^3[/tex] of concrete

The capacity of the tank in liters:

1x2x1.5

=[tex]3m^3[/tex] or 3000 liters

Read more about capacity of a tank here:

https://brainly.com/question/11635818

#SPJ6

The table is filled as described , shown below.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Rate per hour is $11.25

Number of regular hours is 40

Payment for regular hours:

time multiply with payment=

40*$11.25 = $450

Again, we have,

Rate per overtime hour:

$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)

Number of overtime hours:

48.5 - 40 = 8.5

Payment for overtime hours:

$16.88*8.5 = $143.48

Now, we get ,

Gross payment is the sum of regular and overtime payments:

$450 + $143.48 = $593.48

Hence, he would get $593.48

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ1

Answer:

Say wahhhhh!

Step-by-step explanation:

.....................................

9514 1404 393

Answer:

Step-by-step explanation:

1. In this case, it appears that "some" means "4". The total cost of 4 place mats and 4 napkin rings is apparently ...

  $17.16 +10.36 = $27.52

Then the total cost of 1 of each is 1/4 this amount, or ...

  $27.52/4 = $6.88

__

2. The average of three numbers is their sum, divided by 3.

  (2.4 + 1.9 + 3.2)/3 = 7.5/3 = 2.5

Brian lost an average of 2.5 pounds per week.

Answer:

0.1611

Step-by-step explanation:

Uaing the binomial probability relation :

p = 0.5 ; q = 1 - p = 0.5

n = 10

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 7) = 10C7 * 0.5^7 * 0.5^3

P(x = 7) = 0.1172

x = 8 ;

P(x = 8) = 10C7 * 0.5^7 * 0.5^3

P(x =8) = 0.0439

P(x = 7 or x = 8) = 0.1172 + 0.0439 = 0.1611

Answer:

RTS=(180-112)/2

=68/2

=34

Answer:

5

Step-by-step explanation:

-6+(-4)/-2

-6-4/-2

-10/-2

5

Answer: (-3,20) (2,35)

Step-by-step explanation: well if the 2 is an exponent then this is the answer, I don’t know the step by step though sorry. <3

Answer:

a = 38⁰

b = 54⁰

c = 54⁰

Step-by-step explanation:

a + 142⁰ = 180⁰ because a straight line = 180⁰

b + 38⁰ + 88⁰ = 180⁰ because the angles of a triangle equal 180⁰, and the missing measurement = 38⁰ because it is a vertical angle to angle a

c + 88⁰ = 142⁰ because the angles are corresponding angles

Answer:

B

Step-by-step explanation:

Center of the distributions -> mean/median (preferably mean)

The option with range is eliminated

Median might not be accurate as median is the center person, not the center result.

Based on the graphs, identify the graph with the intervals of greatest frequency.

For North Heights -> between 30 and 32 (right-skewed, some higher values)

For Southview -> between 28 and 30 (most concentrated there)

Hence, mean of Southview is lower than North Heights.

Answer:

i cant see it

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The formula to find the perimeter of a rhombus is p=4a

and 4 times 1 2/3= 4 2/3

Answer:

ABC=BCD wtdf

Step-by-step explanation:

Answer:

8ft. 9in.

+13ft. 7in.

_________

22ft. 4in.

because 12 in.= 1 ft. so 9+7=16

16-12=4

so 12in.=1 ft. , as 12 in, got carried by 1ft.

Answer:

To find the perimeter, we will first find the side of the square tile.

ㅤ

Now,let us find perimeter.

The number of Dvds owned by Maarissa is 45

The given parameters that will guide us in finding the number  of dvds owned by marissa are

Marissa and Kyle own a total of 66 dvds. Kyle owns 3 more than twice as many dvds as marissa.

Let the number of dvds owned by Marissa be x

Nymber of dvds owned by Kyle be y

This implies that  x+y = 66 ............................1

also, 2y + 3 = x ..................................................2

Substitute x = 2y + 3 in equation 1

= 2y + 3+y =66 Collecting like terms

⇒ 3y = 63

Making y the subject of the relation we have y=21

Recall that  2y + 3 = x

That means x = 2(21) + 3

x=45

Therefore Marrissa owns 45 dvds

Learn more about word problems on https://brainly.com/question/29027588

#SPJ1

The values of the variables in the circles are

From the question, we have the following parameters that can be used in our computation:

Circles and missing angles (see attachment for the figures)

Circle 1

To determine the unknown variable (a), we make use of the following theorem

The angle subtended by an arc at the circumference is twice the angle subtended at the circumference

Mathematically, this means that

a = 2 * 17 degrees

Evaluate the product

a = 34 degrees

Circle 2

To determine the unknown variable (a), we make use of the following theorem

The angle at the circumference in a semicircle is 90 degrees.

Mathematically, this means that

b = 90 degrees

Also, we have

a + 122 degrees = 180 degrees

Evaluate

a = 58 degrees

Using the theorem in (a), we have

b + a/2 + c = 180

This gives

90 + 58/2 + c = 180

Evaluate the like terms

c = 61 degrees

Hence, the angle c is 61 degrees

Read more about angles at

https://brainly.com/question/7620723

#SPJ1

Answer: 70 cm

Step-by-step explanation: perimeter = 2*width + 2*length

408 = 2*width + 2*134

408 = 2*width + 268

Subtract 268 from both sides.

140 = 2*width

DIvide both sides by 2

Width = 70 cm

Answer:

The width of the rectangle is 70 cm

Step-by-step explanation:

Given,

To Find : The width of the rectangle

As we know, the formula to find the Perimeter of the rectangle is

[tex]P = 2(l+b)[/tex]

Now the Perimeter is given and the length

[tex]408 = 2(134 + b)[/tex]

Now using distributive property

[tex]408 = 268 + 2b[/tex]

[tex]408 - 268 = 2b[/tex]

[tex]140 = 2b[/tex]

[tex]\frac{140}{2} = b[/tex]

[tex]70cm = b[/tex]

Hence, the width of the rectangle is 70 cm

Answer:

28°, 62°

Step-by-step explanation:

As 8,15,17 is a Pythagorean Triple, the triangle must be a right triangle. Hence, we can use our common trig ratios to solve the problem. Let's assume our right triangle has a base of 8, a height of 15, and a hypotenuse of 17.

Here are all the acute angles in order:

[tex]\cos^{-1}(\frac{15}{17})\approx28^\circ[/tex]

[tex]\sin^{-1}(\frac{15}{17})\approx62^\circ[/tex]

Answer:

0

Step-by-step explanation:

H0 : μ = 840

H1 : μ < 840

Sample size, n = 49

Standard deviation, s = 14

Test statistic = (xbar - μ) ÷ (s/√(n))

Test statistic = (830 - 840) ÷ (14/7)

Test statistic = - 10 / 2

Test statistic = - 5

The Pvalue ;

Pvalue = P(Z < - 5) = 0 (Z probability calculator)

The Pvalue = 0