20 POINTS ANSWER SOON PLEASE

Which table represents a proportional situation?


x f(x)
–1 –3
0 0
1 3
4 12


x f(x)
–2 2
0 4
2 6
3 7


x f(x)
–1 –5
0 –2
1 1
2 4


x f(x)
–1 5
0 1
1 –1
2 –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:

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:

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 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]

Answer:

80°

Step-by-step explanation:

Three angles are equal

Let the equal angle be x

3x+120=360

3x=240

x=240/3

=80

Hence the three angles are 80∘

Answer:

Each of the three congruent angles has measure 80 deg. The fourth angle has measure 120 deg.

Step-by-step explanation:

The sum of the measures of the angles of an n-sided polygon is (n - 2)180.

A quadrilateral has 4 sides, so n = 4 in the formula above.

(n - 2)180 = (4 - 2)180 = 2(180) = 360

The sum of the measures of the angles of a quadrilateral is 360 degrees.

Three angles are congruent. Let the measures of the three congruent angles be x. The sum of the measures of the 3 angles is x + x + x = 3x.

The sum of the measures of the angles is 360 deg.

3x + 120 = 360

Subtract 120 from both sides.

3x = 240

Divide both sides by 3.

x = 80

Answer: Each of the three congruent angles has measure 80 deg. The fourth angle has measure 120 deg.

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:

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:

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:

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

a. 0.927

We have:

0.98 – 0.053

We can re-write it as:

0. 9 8 0 -

0. 0 5 3

Moving digits to the right:

0. 9 7 10 -

0. 0 5 3

Digit-per-digit subtraction:

0. 9 2 7

b. 0.27

We have:

0.67 – 0.4

We can re-write it as:

0. 6 7 -

0. 4 0

Digit-per-digit subtraction:

0. 2 7

c. 0.298

We have:

0.3 – 0.002

We can re-write it as:

0. 3 0 0 -

0. 0 0 2

Moving digits to the right:

0. 2 10 0 -

0. 0 0 2

Again:

0. 2 9 10 -

0. 0 0 2

Digit-per-digit subtraction:

0. 2 9 8

d. 2.411

We have:

3.2 – .789

We can re-write it as:

3. 2 0 0 -

0. 7 8 9

We need to rewrite the first term by moving digits to the right several times:

3. 2 0 0 = 2. 12 0 0 = 2. 11 10 0 = 2. 11 9 10

So now we have:

2. 11 9 10 -

0. 7 8 9

Digit-per-digit subtraction:

2. 4 1 1

e. 2.232

We have:

6.53 – 4.298

We can re-write it as:

6. 5 3 0 -

4. 2 9 8

We need to rewrite the first term by moving digits to the right several times:

6. 5 3 0 = 6. 5 2 10 = 6. 4 12 10

So now we have:

6. 4 12 10 -

4. 2 9 8

Digit-per-digit subtraction:

2. 2 3 2

f. 1.68

We have:

6 – 4.32

We can re-write it as:

6. 0 0 -

4. 3 2

We need to rewrite the first term by moving digits to the right several times:

6. 0 0 = 5. 10 0 = 5. 9 10

So now we have:

5. 9 10 -

4. 3 2

Digit-per-digit subtraction:

1. 6 8

g. 4.426

We have:

7 – 3.574

We can re-write it as:

7. 0 0 0 -

3. 5 7 4

We need to rewrite the first term by moving digits to the right several times:

7. 0 0 0 = 6. 10 0 0 = 6. 9 10 0 = 6. 9 9 10

So now we have:

6. 9 9 10 -

3. 5 7 4 =

Digit-per-digit subtraction:

3. 4 2 6

h. 3.03

We have:

4.83 – 1.8

We can re-write it as:

4. 8 3 -

1. 8 0

We can immediately do the digit-per-digit subtraction:

3. 0 3

i. 2.9

We have:

3.7 – 1.8

We can re-write it as:

3. 7 -

1. 8

We need to rewrite the first term by moving digits to the right:

3. 7 = 2. 17

So now we have:

2. 17 -

1. 8 =

Digit-per-digit subtraction:

2. 9

j. 4.538

We have:

16.17 – 11.632

We can re-write it as:

1 6 . 1 7 0 -

1 1 . 6 3 2

We need to rewrite the first term by moving digits to the right:

1 6. 1 7 0 = 1 6. 1 6 10 = 1 5. 11 6 10  

So now we have:

1 5. 11 6 10 -

1 1. 6 3 2 =

Digit-per-digit subtraction:

0 4. 5 3 8

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:

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.

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

Read more about linear equations at:

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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:

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]

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

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:

(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

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:

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:

According to the question,

Numbers are : 23 and -6

The two numbers are -6 and 23.

To find the two numbers, we can set up a system of equations based on the given information. Let the two numbers be [tex]\( x \) and \( y \), where \( x > y \)[/tex]. According to the problem, we have:

1. The sum of the two numbers is 17:

[tex]\[ x + y = 17 \][/tex]

2. The difference between the two numbers is 29:

[tex]\[ x - y = 29 \][/tex]

Now, we can solve this system of equations. We can add the two equations together to eliminate [tex]\( y \)[/tex] :

[tex]\[ (x + y) + (x - y) = 17 + 29 \] \[ 2x = 46 \] \[ x = \frac{46}{2} \] \[ x = 23 \][/tex]

Now that we have the value of [tex]\( x \)[/tex], we can substitute it back into one of the original equations to find [tex]\( y \)[/tex]. Let's use the first equation:

[tex]\[ 23 + y = 17 \] \[ y = 17 - 23 \] \[ y = -6 \][/tex]

Therefore, the two numbers are 23 and -6.

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:

6 a^3 b^8

Hope That Helps!

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:

[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]

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:

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!