In the diagram,m<1= (4x+10) and m<2=(c+20) the value of x is

Answer:

rational #, natural #, whole #

Step-by-step explanation:

Answer: 15,552 inches cubed

Hope this helps!

260

Step-by-step explanation:

11y + 6 =139

-6

11y. = 133

÷11

y. = 133/11

22y - 6

22 x 133/11 - 6

=260

Hope this helps!

Step-by-step explanation:

\(11y + 6 = 139 \\ 11y = 133 \\ y = 12.0909\)

so,

\(22y - 6 \\ 22(12.1) - 6 \\ = 260\)

Answer:

1/8 and 1/12

Step-by-step explanation:

The angle is 25 degrees

Let the measure of the angle be x

So, we have

Complement = 90 - x

Supplement = 180 - x

The sum is 220

So, we have

90 - x + 180 - x= 220

Evaluate the sum

-2x + 270 = 220

Solve for x

x = 25

Hence, the angle is 25 degrees

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The population of the United States would increase by approximately 2,628,000 people in 1 year at the given rate.

To determine how much the population of the United States would increase in 1 year at the given rate, we need to convert the time from seconds to years.

There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. So, the number of seconds in a day is:

60 seconds/minute * 60 minutes/hour * 24 hours/day = 86,400 seconds/day.

Next, we calculate the number of days in a year. In general, a non-leap year has 365 days. Therefore, the number of seconds in a year is:

86,400 seconds/day * 365 days/year = 31,536,000 seconds/year.

Now, we can calculate the population increase in 1 year. The rate of increase is 1 person every 12 seconds. So, the population increase in 1 year is:

31,536,000 seconds/year / 12 seconds/person = 2,628,000 people.

Therefore, the population of the United States would increase by approximately 2,628,000 people in 1 year at the given rate.

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Answer: olynomial Long Division

Dividing :  x3 + x2 - 20x + 24

                             ("Dividend")

By         :    x - 3    ("Divisor")

dividend     x3  +  x2  -  20x  +  24

- divisor  * x2     x3  -  3x2        

remainder         4x2  -  20x  +  24

- divisor  * 4x1         4x2  -  12x    

remainder          -  8x  +  24

- divisor  * -8x0          -  8x  +  24

remainder                0

Quotient :  x2+4x-8  Remainder:  0

Factoring  x2+4x-8

The first term is,  x2  its coefficient is  1 .

The middle term is,  +4x  its coefficient is  4 .

The last term, "the constant", is  -8

Step-1 : Multiply the coefficient of the first term by the constant   1 • -8 = -8

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   4 .

     -8    +    1    =    -7

     -4    +    2    =    -2

     -2    +    4    =    2

     -1    +    8    =    7

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Find roots (zeroes) of :       F(x) = x3 + x2 - 23x + 24

    See theory in step 1.3

In this case, the Leading Coefficient is  1  and the Trailing Constant is  24.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,8 ,12 ,24

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        47.00    

     -2       1        -2.00        66.00    

     -3       1        -3.00        75.00    

     -4       1        -4.00        68.00    

     -6       1        -6.00        -18.00    

     -8       1        -8.00        -240.00    

     -12       1       -12.00       -1284.00    

     -24       1       -24.00       -12672.00    

     1       1        1.00        3.00    

     2       1        2.00        -10.00    

     3       1        3.00        -9.00    

     4       1        4.00        12.00    

     6       1        6.00        138.00    

     8       1        8.00        416.00    

     12       1        12.00        1620.00    

     24       1        24.00       13872.00    

Polynomial Roots Calculator found no rational roots

Answer: x3 + x2 - 23x + 24

 ——————————————————

         x        

Step-by-step explanation:

Answer:

Slope = 5/3

Step-by-step explanation:

See attached image

Answer:

parallel

B.

coincident

C.

intersecting

Answer:

I think it's parallel, because they have the same gradient. parallel lines always have the same gradient

Answer:

you must remember + and + equal to minus

The perimeter of the polygon with vertices Q(-3, 2), R(1, 2), S(1,-2), and T(-3,-2) is 16 units.

Perimeter is a circumferential measure of the figure, for example, the perimeter of a square is the sum of all its sides.

Here,

To find the perimeter of a polygon, we need to add up the lengths of all its sides. In this case, we have a quadrilateral with vertices Q(-3, 2), R(1, 2), S(1,-2), and T(-3,-2).

We can use the distance formula to find the lengths of each side:

Length of QR = √[(1 - (-3))² + (2 - 2)²] =  4

Similarly,

Length of RS= 4

Length of ST= 4

Length of TQ= 4

Therefore, the perimeter of the polygon is 4 + 4 + 4 + 4 = 16

So the perimeter of the polygon with vertices Q(-3, 2), R(1, 2), S(1,-2), and T(-3,-2) is 16 units.

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The rate at which the man and woman are moving apart 2 hours after the man starts walking is approximately 6.1 ft/s.

Let's denote the distance of the man from point P as x, and the distance of the woman from point P as y. We need to find the rate of change of the distance between them, which is given by the derivative of the distance equation with respect to time.

Since the man is walking south at a constant rate of 5 ft/s, we have x = 5t, where t is the time in seconds.

The woman starts walking north from a point 100 ft due west of point P. Since she is 100 ft west and her rate is 4 ft/s, her distance from P is given by y = √(100² + (4t)²) = √(10000 + 16t²).

To find the rate of change of the distance between them, we differentiate the distance equation with respect to time:

d/dt (distance) = d/dt (√(x² + y²))

               = (2x(dx/dt) + 2y(dy/dt)) / (2√(x² + y²))

Substituting the values, we have:

dx/dt = 5 ft/s

dy/dt = 4 ft/s

x = 5(2 hours) = 10 ft

y = √(10000 + 16(2 hours)²) = √(10000 + 16(4²)) = 108 ft

Plugging these values into the derivative equation, we get:

d/dt (distance) = (2(10)(5) + 2(108)(4)) / (2√(10² + 108²))

               = 280 / (2√(100 + 11664))

               = 280 / (2√11764)

               = 280 / (2 * 108.33)

               ≈ 2.58 ft/s

Therefore, the rate at which the man and woman are moving apart 2 hours after the man starts walking is approximately 6.1 ft/s.

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Complete question here:

Question #5 C11: "Related Rates." A man starts walking south at 5 ft/s from a point P. Thirty minute later, a woman starts waking north at 4 ft/s from a point 100 ft due west of point P. At what rate are the people moving apart 2 hours after the man starts walking?

Answer: C

Step-by-step explanation: C

2 divided into 9 parts is 2/9.

Let's' explain this visually

Take this pizza, (image below)

Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.

Now 2/9=0.2 repeating!

This is how I got my answer sorry for the vague  explanation

Answer:

5

Step-by-step explanation:

Answer:

degree is 2

standard form is

-x^2+2x-8

classification is trinomial

leading coeff is -1

hope i helped

Step-by-step explanation:

Answer:  Angle 8

Explanation:

Angle IHL is shown as angle 9. The angle supplementary to this is the adjacent angle 8 such that these two angles form a straight line. Supplementary angles always add to 180 degrees.

The equations can be solved in the following manner. As shown below.

The equations can be solved in the following manner. As shown below.

1.  Multiplication Property of Equality

10a + 35b = 0, 21a - 35b = 217            

2.  Addition Property of Equality

31a = 217

3.  Division Property of Equality

a = 7

4.  Substitution Property of Equality

2(7) +7b = 0

5.  Simplify

14 + 7b = 0

6.  Subtraction Property of Equality

7b=-14

7.Division Property of Equality

b= -2

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Answer:

obtuse?

Step-by-step explanation:

Answer:

lines that will never touch

Step-by-step explanation:

these are lines that you could keep drawing and they will never cross or touch

Answer:

2.18 cents is your answer

Step-by-step explanation:

Answer:

y=(y\x - 10j\x) x+j•10

Step-by-step explanation:

its up there

Answer:

6,10,500,000

Step-by-step explanation:

Answer:

610500000 is the answer! I hope this helps!

Answer:

see photo attached for your reference.

Step-by-step explanation:

15.50 (to the nearest hundredth)

Answer:

The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height. Let us know the basics of the area of a triangle. If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.

Answer:

They could both be 70

Step-by-step explanation:

The reason why is because if you subtract 40 from 180 you get 140 and that can be evenly split in 2 ways by 70.

An isosceles triangle is one with two equal-length sides. The possible measures for ∠B and ∠C are 70°.

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Since in an isosceles triangle the measure of any two angles is equal to each other. Therefore, assuming that ∠B and ∠C are those equal angles.

Now, given that the measure of ∠A is 40°. Therefore, the sum of the measure of all the angles of the triangle can be written as,

∠A + ∠B + ∠C  = 180°

40° + ∠B + ∠C = 180°

40° + ∠B + ∠B = 180°

2 ∠B = 180° - 40°

2 ∠B = 140°

∠B = 140°/2

∠B = 70°

∠B = ∠C = 70°

Hence, the possible measures for ∠B and ∠C are 70°.

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Answer: 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The red graph intersects the y-axis at (0, 1).  This is the "y-intercept."

Answer:

\(\frac{4}{5}\)

Step-by-step explanation:

\(\frac{32}{40}\)

Both 32 and 40 are divisible by 8.
32÷8=4

40÷8=5

Thus, the simplest form is \(\frac{4}{5}\)

Answer:

no

Step-by-step explanation:

..........,.....***

Answer:

No

Step-by-step explanation:

Answer:

14.1, 14.2, 14.3, 14.4, 14.5, 14.6, 14.7, 14.8, 14.9

Step-by-step explanation:

decimals

Answer:

14.3 and 14.4 But there are also all of the decimals in between

Step-by-step explanation:

14.3 is greater than 14 but at the same time less than 15