Line a is parallel to line b if the measure of <7 is 114, what is the measure of <4

Answer: C

Step-by-step explanation:

Since both equations are set equal to y, it follows that

[tex]x+2=x^2 + 5x+6\\\\x^2 +4x+4=0\\ \\ \\(x+2)^2 = 0\\\\x=-2\\\\\implies y=-2+2=0[/tex]

So, the solution is (-2, 0).

Answer:

yeah its parallelogram.

quadrilateral whose diagonal bisect each other are parallelogram .

Answer:

15.9

Step-by-step explanation:

O/A

Tan47=17/x

x=17/tan 47

Answer:

the height in scientific notation is 1.12 x 10^4 :)

Answer:

Obtuse

Step-by-step explanation:

in this case [tex]c^{2}[/tex] is greater than [tex]a^{2} +b^{2}[/tex] therefore, is it an obtuse triangle.

Answer:

Combined volume of the two number cubes = 54 cm³

Step-by-step explanation:

Given:

Side of a cube = 3 centimeter

Number of cubes = 2

Find:

Combined volume of the two number cubes

Computation:

If we combine two cube new figure will be a cuboid.

Length of new cuboid = 3 + 3 = 6 cm

Height of new cuboid = 3 cm

Width of new cuboid = 3 cm

Volume of cuboid = (l)(b)(h)

Combined volume of the two number cubes = (6)(3)(3)

Combined volume of the two number cubes = 54 cm³

Answer:

Some possible expressions, since there's no answer choices provided:

-3(x + 3)

3(-x - 3)

Step-by-step explanation:

Expression 1:

This uses a GCF of -3, since -3x and -9 are divisible by this. Let's divide -3x and -9 by this first:

-3x / -3 = x

-9 / -3 = 3

So now, we can add these terms and multiply them by -3 to get our answer:

-3(x + 3)

And just to check, we can expand it:

-3x + -3(3) = -3x - 9

Expression 2:

This uses a GCF of 3, like the last one but it's negative. -3x and -9 are also divisible by this. Let's divide both terms by this GCF first:

-3x / 3 = -x

-9 / 3 = -3

Now, we can add these terms and multiply them by -3 to get our final answer:

3(-x - 3)

To check, once again:

-3x + 3(-3) = -3x - 9

9514 1404 393

Answer:

  x ∈ {-1/2, 1, 2-√3, 2+√3}

Step-by-step explanation:

The given zeros mean that one of the quadratic factors of the given polynomial is ...

  (x -2)^ -3 = x^2 -4x +1

When that is factored out (see first attachment), the remaining quadratic is ...

  2x^2 -x -1

This can be factored as ...

  = (2x +1)(x -1)

which has roots that make these factors zero: x = -1/2, x = 1.

So, all of the zeros of the given polynomial are ...

  -1/2, 1, 2-√3, 2+√3 . . . all zeros

__

A graphing calculator can often point to the zeros of the function quite nicely.

_____

Additional comments

When p is a zero of a polynomial, (x-p) is a factor of it. The given zeros mean that factors are (x-2-√3) and (x-2+√3). The product of these factors is the difference of the squares (x-2)^2 and (√3)^2, so is (x -2)^2 -3.

Using the pattern for the square of a binomial, we see this is ...

  (x-2)^2 = x^2 -2·2x +2^2 = x^2 -4x +4

The product of the given factor is then 3 subtracted from this square. The given zeros mean there is a quadratic factor of ...

  (x-2-√3)(x-2+√3) = (x-2)^2 -3 = x^2 -4x +4 -3 = x^2 -4x +1

Answer:

132in

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex]v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132[/tex]

hope it helps

have a nice day

Answer:

64 times more paint will be needed since the volume of the second is 64 times the volume of the first

Step-by-step explanation:

If the original sphere is 12 cm diameter

its radius will be half this measure which is 12/2 = 6 cm

The new diameter is 4 times this, so its radius would be 4 times this and it is 24 cm

Now, the volume of the sphere means we have to raise the power of the radius by 3

The other terms in the formula remains the same for both, so we are simply comparing the radii

so we will have the difference in volume in times of multiples as ;

(24/6)^3 = 4 * 4 * 4 = 64

Answer:

x = -2

y = -3

Step-by-step explanation:

5x - y = -7

x + y = -5

6x = -12

x = -2

x + y = -5

-2 + y = -5

y = -5 + 2

y = -3

Answer:

(-2,-3)

Step-by-step explanation:

x + y = -5

y = -x - 5

5x - (-x - 5) = -7

5x + x + 5 = -7

6x = -12

x = -2

x + y = -5

-2 + y = -5

y = -3

orbit =365.256days

distance=149.60km

The population of Indiana in 2007 can be estimated by using the annual growth rate of 0.6% between 1998 and 1999 and the population in 1999, which was approximately 286,485,882.

To find the population in 2007, we need to calculate the growth from 1999 to 2007. We can do this by multiplying the population in 1999 by 1 plus the growth rate raised to the power of the number of years between 1999 and 2007.
Let's calculate step by step:
1. Calculate the number of years between 1999 and 2007: 2007 - 1999 = 8 years.
2. Calculate the growth rate per year: 0.6% = 0.006.
3. Calculate the population in 2007: 273,000,000 * (1 + 0.006)^8 = 273,000,000 * 1.048834 = 286,485,882 (approximately).
Therefore, based on this model, the population of Indiana in 2007 would be approximately 286,485,882.
For more similar questions on annual growth rate

brainly.com/question/30798879

#SPJ8

Answer:

V=1/3hπr². Basically, 1/3 x height x 3.14 (pi) x radius squared.

Step-by-step explanation:

The formula of figure 2 would be 1/3 x 15 x 3.14 x 8 squared.  The volume of figure 2 would be 1005.30965

the formula for figure 3 would be 1/3 x 15 x 3.14 x 4 squared. The volume of it would be 251.32741

hope this helps! (Also please make me brainliest if this helps u :) )

Answer:

t≥7

Step-by-step explanation:

11≤t+4

4 moves to the other side hence its sign changes

11-4≤t

7≤t

they change sides

t≥7

the sign was facing t so this does not change

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

11 ≤ t + 4  We are gonna simplify

Step 2

11 ≤ t + 4  simplify

t+4≥11

Step 3

t+4≥11  Subtract 4 from the sides

t≥7

So therefore, your answer will be t≥7

Hope this helps

Answer:

9 units

Step-by-step explanation:

because if the y-axis is 5 and the x-axis is 9, the line is 9 units.

Answer:

Im Sure its A

Step-by-step explanation:

The question is incomplete:

A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express delivery. Total shipping charges for the day were $600.00. How many of each kind of package were shipped?

Answer:

The business  shipped 65 standard delivery packages and 41 express delivery packages.

Step-by-step explanation:

Since the business shipped 106 packages one day you can say that:

x+y=106, where:

x is the number of standard delivery packages

y is the number of express delivery packages

Also, you can say that the result of multiplying the price per each type of package for its amount and adding those would be equal to the total shipping charges for the day, which is:

4.50x+7.50y=600

So, you have the following equations:

x+y=106 (1)

4.50x+7.50y=600 (2)

Now, you can solve for x in (1):

x=106-y (3)

Then, you can replace (3) in (2) and solve for y:

4.50(106-y)+7.50y=600

477-4.50y+7.50y=600

3y=600-477

3y=123

y=123/3

y=41

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=106-41

x=65

According to this, the answer is that the business  shipped 65 standard delivery packages and 41 express delivery packages.

Answer:

Next three terms are: - 13, - 17, - 21

Step-by-step explanation:

Evety time it decreases by 4.

Answer:

-13, -17, -21

Step-by-step explanation: keep subtracting 4

Answer:

w = 52°

Step-by-step explanation:

We know that the sum of the angle of a triangle is equal to 180 degrees

In this figure,

w+w+76 = 180

As w = w (Vertically opposite angles)

So,

2w = 180-76

2w = 104

w = 52

So, the value of w is equal to 52°.

Answer:

45 degrees

Its on the first bar in the 45 degree angle which is half of 90

Answer:

i dont know

Step-by-step explanation:

Answer:

im literally doing the same exact thing right now

Step-by-step explanation:

Answer:

a.The number of cubes with edge length 1/2 cm that fit in this prism= 2520

b. Volume of the prism= 315 cm³

Step-by-step explanation:

Volume of the rectangular prism =  length *width * height

                                  = 7 1/2 * 12 * 15 1/2

                                  = 7 * 6* 15 1/2

                                  = 7*3*15

                                  = 315 cm³

Volume of the cube =  length *width * height

                                 = 1/2 *1/2 *1/2

                                   = 1/8 cm³

Now number of cubes that would fit in the rectangular prism is given by

   =  Volume of the prism/ Volume of the cubes

     = 315/1/8

      = 2520

The number of cubes with edge length cm that fit in this prism= 2520

Answer:

-52/12 or -4 5/12

Step-by-step explanation:

hope this help there 2 ways

Answer:

-53/12 same as -4 4/12 same as -4,416

Step-by-step explanation:

convierte el numero mixto a una fracción impropia

-23/3 + (-5 1/2) + 8 3/4

cuando se encuentren un + en frente de una expresión dentro de un paréntesis, la expresión se mantiene igual

-23/3 - 5 1/2 + 8 3/4

convierte el numero mixto a una fracción impropia

-23/3 - 5 1/2 + 35/4

convierte el numero mixto a una fracción impropia

-23/3 -  11/2 + 35/4

calcula la suma o resta

-53/12

Answer:

solution is in attachment

hope it helps