i’m in algebra 2 and it’s long division please help

Answer:

y = √7

Step-by-step explanation:

This circle has a center at (0,0) and a radius of 4 so its equation is:-

x^2 + y^2 = 16

when x= -3, (-3)^2 + y^2 = 16

9 + y^2 = 16

y^2 = 7

y = √7

Answer:

(a)

Given: A line passes through the points (3, -2) and (6, 2)

Point slope form: An equation of line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]y -y_1=m(x-x_1`)[/tex]  .....[1] where m is the slope of the line.

Calculate first the slope of the line:

Slope(m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the given points;

[tex]m = \frac{2-(-2)}{6-3}=\frac{2+2}{3} =\frac{4}{3}[/tex]

Substitute the value of m in [1] ;

[tex]y - (-2) = \frac{4}{3}(x-3)[/tex]

[tex]y+2=\frac{4}{3}(x-3)[/tex]     ......[1]

therefore, the equation of line in point slope form is, [tex]y+2=\frac{4}{3}(x-3)[/tex]    

(b)

to find the standard form of the equation [1]

Multiply both sides by 3  in [1] we get;

[tex]3(y+2) = 4(x-3)[/tex]

using distributive property;   [tex]a\cdot (b+c) = a\cdot b + a\cdot c[/tex]

3y + 6 = 4x -12

Subtract 3y to both sides we get;  

3y + 6 -3y = 4x - 12 - 3y

Simplify:

6 = 4x - 3y -12

Subtract 6 from both sides we get;

0 = 4x - 3y -12-6

Simplify:

4x - 3y - 18 =0

Therefore, the standard form of the equation is; 4x - 3y - 18 =0

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

x + y = -3      subtract x from both sides

y = -x - 3

Answer: [tex]\bold{k=\dfrac{1}{9}}[/tex]

Step-by-step explanation:

The constant of proportionality is y = kx.  Solve the given equation for "y" to find k-value in front of "x".

    18y = 2x

   [tex]\dfrac{18y}{18}=\dfrac{2x}{18}[/tex]

    [tex]y=\dfrac{1}{9}x[/tex]

[tex]k=\dfrac{1}{9}[/tex]

Answer:

Parallel bases.

   The legs are congruent by definition.

   The lower base angles are congruent.

   The upper base angles are congruent.

   Any lower base angle is supplementary to any upper base angle.

   The diagonals are congruent.

Step-by-step explanation:

Answer:

y - 3 = 4(x - 1)

Step-by-step explanation:

This is point slope form, which looks like this:

[tex]y-y_{1}=m(x-x_{1})[/tex]

Because a 3 is used for the y value, we know the coordinate point we are using is (1, 3). All we need to do is plug the x value in.

y - 3 = 4(x - 1)

Answer:

It solves all quadratic equations for any real or imaginary solutions.

Step-by-step explanation:

The quadratic formula is

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex].

It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions.

Answer:

y = -3x - 7

Step-by-step explanation:

Slope = (8 - 2)/(-5 + 3) = 6/-2 = -3

Equation

y - 2 = - 3(x + 3)

y - 2 = -3x - 9

y = -3x - 7

Answer

y=-3x-7

is the equation of line that passes through the points (-3,2) and (-5,8)

step by step explanation:

we are given

(x1,y1)=(-3,2)

(x2,y2)=(-5,8)

formula of slope

m=(y2-y1 )/ (x2-x1)

putting value in formula

m=(8-2) /-5-(-3)

m=6/-5+3

m=6/-2

m=-3

Formula of line slop form of equation is

y-y1=m(x-x1)

putting the values in the formula

y-2= -3(x-(-3))

y-2= -3(x+3)

y-2=-3x-9

y=-3x-9+2

y=-3x-7

is the equation of line that passes through the points (-3,2) and (-5,8)

Answer:

6 a^3 b^8

Hope That Helps!

Answer:

The probability is 1/2.

Step-by-step explanation:

There are a total of 40 girls that are surveyed and 20 prefer chocolate. If you write that as a fraction 20/40, it simplifies to 1/2.

"3 miles below sea level" may be written as -3. The negative indicates you are below sea level. Going above sea level means the value would be positive.

"earning 45 dollars" can be written as +45 or simply 45. If you lost 45 dollars, then it would be -45. If you are in debt 45 dollars, then it would be -45.

"moving back 5 spaces" is represented by -5 whereas moving forward 5 spaces is +5 or simply 5.

Answer:

see explanation

Step-by-step explanation:

using  A = bh with b = 2x + 1 and h = x + 1, then

(2x + 1)(x + 1) = 28 ← expand factors on left

2x² + 3x + 1 = 28 ( subtract 28 from both sides )

2x² + 3x - 27 = 0 ← in standard form

To factorise, consider the factors of the product of the coefficient of the x² term and the constant term that sum to give the coefficient of the x term

product = 2 × - 27 = - 54 and sum = + 3

The factors are - 6 and + 9

Use these factors to split the middle term

2x² - 6x + 9x - 27 = 0 ( factor first/second and third/fourth terms )

2x(x - 3) + 9(x - 3) = 0 ( take out the factor (x - 3) )

(x - 3)(2x + 9) = 0

equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

2x + 9 = 0 ⇒ x = - [tex]\frac{9}{2}[/tex]

however x > 0 ⇒ x = 3

base = 2x + 1 = (2 × 3) + 1 = 7 units and height = x + 1 = 3 + 1 = 4 units

Answer:

It will take them 18 hours.

Step-by-step explanation:

To find the answer of this, you must first multiply the amount of people by the time:

6 * 15 = 90

Then to find the time it takes 5 workers, divide this by 5:

90 ÷ 5 = 18

So it will take them 18 hours!

Answer:

The equation of this line would be y = 35x - 517

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is 35, which means the new slope will also be 35 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line.

y - y1 = m(x - x1)

y - 8 = 35(x - 15)

y - 8 = 35x - 525

y = 35x - 517

The equation of the line parallel to y = 35x - 7 and passing through the point (15, 8) is y = 35x - 517.

To find the equation of a line that is parallel to y = 35x - 7 and passes through the point (15, 8), we need to determine the slope of the original line.

Since the given line is in the form y = mx + b, where m is the slope, we can see that the slope of the given line is 35.

Since parallel lines have the same slope, the slope of the line we're looking for is also 35.

Now we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Plugging in the values, we have y - 8 = 35(x - 15).

Expanding and simplifying, we get y - 8 = 35x - 525.

Finally, rearranging the equation, we find the equation of the line is y = 35x - 517.

Answer:

1.03

Step-by-step explanation:

I think the pattern is adding .1 So then next one is 1.03

Answer:

+0.10

Step-by-step explanation:

0.73+0.10= 0.83+0.10=0.93 etc

have a great day!

Answer:

[tex]y=\frac{3}{2} x+6[/tex]

Step-by-step explanation:

We are given the following equation and we are supposed to solve y in terms of x. It simpler terms, it means that we have to make y the subject of the equation while x being used in it as it is:

[tex]\frac{2}{3} y-4=x[/tex]

Taking the constant 4 to the side where x is to get:

[tex]\frac{2}{3} y=x+4[/tex]

Multiplying the denominator 3 to the other side of the equation to get:

[tex]2y=3x+12[/tex]

Isolating y to make it the subject:

[tex]y=\frac{3}{2} x+\frac{12}{2}\\ \\y=\frac{3}{2} x+6[/tex]

19 x (42 + 58) or 19*(42 + 58) is the expression she can use. You factor out the common term 19. The distributive rule says that we can multiply the outer 19 with each term inside to get the original expression again.

Answer:

480

Step-by-step explanation:

Divide 100 by 37.5

Multiply 180 by that number

100/37.5=2.667'

180*2.667=480

Anne surveyed 480 people.

Answer:

363.6

Step-by-step explanation:

250/11= 22.72

22.72 x 16= 363.3636

when rounded tot he nearest tenth its 363.6 because the three is less than five and cannot bump up the 6

if possible make my answer the brainliest

The formula of a volume of a cuboid:

[tex]V=lwh[/tex]

l - length

w - width

h - height

We have:

l = (x + 4) cm

w = (x + 1) cm

h = 3 cm

Substitute:

[tex]V=(x+4)(x+1)(3)[/tex]      use distributive property

[tex]V=(x+4)(3x+3)[/tex]

[tex]V=(x)(3x)+(x)(3)+(4)(3x)+(4)(3)[/tex]

[tex]V=3x^2+3x+12x+12[/tex]      combine like terms

[tex]\boxed{V=3x^2+15x+12}[/tex]

The reflexive property justifies the statement "If CD = EF, then CD = EF".

The reason that justifies the statement "If CD = EF, then CD = EF" is the reflexive property.

The reflexive property states that any geometric shape or object is always equal to itself. In this case, CD is equal to itself, and EF is equal to itself, so if CD = EF, then CD will always be equal to EF.

Therefore, option B, the reflexive property, is the correct reason for the given statement.

Learn more about Reflexive property

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Answer:

5/6

Step-by-step explanation:

1/2 / 3/5

1/2*5/3

5/6

Answer:

5/6

Step-by-step explanation:

1/2 ÷ 3/5

Copy dot flip

1/2 * 5/3

5/6

Answer:

C. 105°

Step-by-step explanation:

To find the answer, we can use the method of exterior angle of triangles, which would be <A + <B = <C, in which A and B is any interior angles of triangles and C would be the exterior angle for the remaining angle.

In this case:

45°+60° = 105°

Therefore the answer is C. 105°

Hope it helps!

The measure of the angle x is 105 degrees option (C) is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a triangle shown in the picture.

As we know,

The sum of two interior angles is equal to the exterior angle;

The measure of the angle x:

x = 60 + 45

x = 105 degrees

Thus, the measure of the angle x is 105 degrees option (C) is correct.

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Answer:

-8

Step-by-step explanation:

All you have to do to solve this equation is plug "-3" into the equation where you see "x"

[tex]f(x)=-x^2+1\\f(-3)=-(-3)^2+1\\f(-3)=-(9)+1\\f(-3)=-9+1\\f(-3)=-8[/tex]

Answer:

Find the negative reciprocal of the slope of the original line and use the slope-intercept form

y=mx+b to find the line perpendicular to [tex]y=2x+5[/tex].

[tex]y=−12x−5[/tex]

Hope this helps!!

[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have}\ k:y=2x+5\to m_1=2.\\\\l:y=mx+b\to m=-\dfrac{1}{2}\to y=-\dfrac{1}{2}x+b.\\\\\text{The line passes through the point (-2, -4).}\ \text{Put the coordinates to the equation:}\\\\-4=-\dfrac{1}{2}(-2)+b\\\\-4=1+b\qquad\text{subtract 1 from both sides}\\\\-5=b\to b=-5\\\\Answer:\ \boxed{y=-\dfrac{1}{2}x-5}[/tex]

Answer:

height

Step-by-step explanation:

the volume (V) of a cylinder is calculated using the formula

V = πr²h

where r is the radius and h the height

given the radius then the height is the required measurement needed

The quantity y is directly proportional to x, indicated by the equation y = (5/3)x, found by determining the constant of proportionality (k = 5/3) given that y=10 when x=6.

The problem states that the quantity, y, varies directly as x.

In mathematical terms, this relationship can be represented as y = kx, where k is the constant of proportionality.

Given that when y=10, x=6, we can find k by substituting these values into our formula, yielding 10 = k*6.

Solving for k, we get k = 10/6 or k = 5/3.

Therefore, the equation that describes how y varies directly as x is y = (5/3)x.

This equation tells us that for every unit increase in x, y increases by 5/3 units, illustrating a direct proportionality relationship between the two quantities.

This relationship can be depicted as a straight line through the origin (0,0) on a graph, where k also represents the slope of the line.

Answer:

80%

Step-by-step explanation:

to find the percentage of tickets sold to sixth grade students

percent sold = [tex]\frac{numbersold}{numberof tickets}[/tex] × 100%

                     = [tex]\frac{240}{300}[/tex] × 100% = 80%

Answer:

80%

Step-by-step explanation:

To find the percentage sold to sixth graders, take the number sold to sixth graders over the total

percentage to sixth graders =  tickets sold to sixth graders/ total tickets

The total tickets are 300

Tickets to sixth graders is 240

Substitute it in

percentage to sixth graders = 240/300

                                               =24/30

                                                =4/5

                                                =.8

Multiply this by 100 to give the percent

80%

The value of x is the point of intersection of the graphs of [tex]\mathbf{P =12 + 2x}[/tex] and [tex]\mathbf{A =6x}[/tex]

The value of x is 3

The given parameters are:

[tex]\mathbf{Length = 6}[/tex]

[tex]\mathbf{Width = x}[/tex]

The perimeter is calculated as:

[tex]\mathbf{P =2 \times (Length + Width)}[/tex]

So, we have:

[tex]\mathbf{P =2 \times (6 + x)}[/tex]

Expand

[tex]\mathbf{P =12 + 2x}[/tex]

The area is calculated as:

[tex]\mathbf{P = Length \times Width}[/tex]

So, we have:

[tex]\mathbf{A =6 \times x}[/tex]

[tex]\mathbf{A =6x}[/tex]

See attachment for the graphs of [tex]\mathbf{P =12 + 2x}[/tex] and [tex]\mathbf{A =6x}[/tex]

From the attached graph, the lines of both functions meet at x =3.

Hence, the value of x is 3

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