Which is the equation of a line parallel to the line with the equation: y = 14x + 2

y = -4x - 7

y = 4x + 2

y = 14x − 12

y = −14x + 3

Answer: 3

Step-by-step explanation:

Let the number be x.

4*(x squared) = 12x

Divide both sides by 4,

X squared = 3x,

divide both sides by x,

X=3

Answer:

4. 87.96 yd

5. 47.12 ft

6. 34.56 cm

Step-by-step explanation:

4. diameter(d) = 28 yd,

perimeter = πd = 87.96 yd (rounded to 2 dp)

5. radius(r) = 7.5 ft

perimeter = 2πr = 47.12 ft (rounded to 2 dp)

6. diameter (d) = 11 cm

perimeter = πd = 34.56 cm

Answered by GAUTHMATH

Formula to find the perimeter of a semicircular region:

if radius given: [tex]P=2r[/tex] +  [tex]\pi r[/tex]  {r = radius}

if diameter given: [tex]P=d+\pi r[/tex] {d = diameter}

Take [tex]\pi[/tex] as 3.14

Q4.

Diameter = 28 yd

Radius = 28/2 = 14 yd

[tex]P=28+\pi (14)[/tex]

[tex]P=28+(3.14)(14)[/tex]

[tex]P=28+14.96[/tex]

[tex]P=42.96[/tex] yd

Q5.

Radius = 7.5 ft

Diameter = 7.5 × 2 = 15 ft

[tex]P=2(7.5)+\pi (7.5)[/tex]

[tex]P=2(7.5)+(3.14)(7.5)[/tex]

[tex]P=15+23.55[/tex]

[tex]P=38.55[/tex] ft

Q6.

Diameter = 11 cm

Radius = 11/2 = 5.5 cm

[tex]P=11+\pi (5.5)[/tex]

[tex]P=11+(3.14)(5.5)[/tex]

[tex]P=11+17.27[/tex]

[tex]P=17.27[/tex] cm

I hope this helps...

Have a great day ahead :)

Answer:

w= -21

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Since AC is similar to CE, we can say that they have equal lengths. We are given CE, DE, and BC. To solve this, we can solve for the length of CE (equal to AC) and then subtract that from BC.

To solve for CE, we are given DE and CE. We know that DE is 1/2 of CE because D is the midpoint of CE. Therefore,

7x-1 = 1/2(10x+18)

expand

7x-1 = 5x  + 9

add 1 to both sides to separate the 7x

7x = 5x + 10

subtract 5x from both sides to separate the x

2x = 10

divide both sides by 2 to separate the x

x=5

Therefore, DE = 7(5)-1 = 34 and CE = 10(5) + 18 = 68 = AC.

Using x=5, we know that BC  = 9(5) -2 = 43

Therefore, AB = AC-BC = 68-43 = 25

D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.

Since DE = 7x-1, which also means CD = 7x-1.

CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.

Therefore, x = 5 and CE = 68.

Since AC is congruent to CE, AC = 68.

Assuming the point B is somewhere between AC.

Since BC = 9x-2 and x = 5, which means BC = 43.

AC - BC = AB, so 68 - 43 = 25.

Therefore, AB = 25

Answer:

<A = <B

=> 8x - 8 = 5x + 25

<=> 3x = 33

<=> x = 11

with x = 11 => mB = 5.11 + 25 = 55 + 25 = 80⁰

Answer:

x=11

B=80

Step-by-step explanation:

8x-8=5x+25

3x=33

x=11

B=5(11)+25

B=80

Answer:

34.9°

Step-by-step explanation:

SOH

CAH

TOA

SOH ... sin(x) = 8/14

arcsin(8/14) = 34.85°

Answer:

8 edges

Step-by-step explanation:

Form the formula F+V=E+2

U make E the subject by moving everything thing else to the left hand side

F+V-2=E

this implies 5+5-2=E

10-2=E

therefore Edges = 8

The polyhedron with 5 faces and 5 vertices has 8 edges.

To determine the number of edges in a polyhedron with 5 faces and 5 vertices using Euler's formula (F + V = E + 2).

we need to substitute the given values into the equation.

Given:

Number of faces (F) = 5

Number of vertices (V) = 5

Substituting these values into Euler's formula, we have:

5 + 5 = E + 2

Simplifying the equation:

10 = E + 2

Subtracting 2 from both sides:

E = 10 - 2

E = 8

Therefore, the polyhedron with 5 faces and 5 vertices has 8 edges.

To learn more on Euler's formula click:

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Answer:

5 3 3 2 2

Step-by-step explanation:

180

90 2

45 2 2

15 3 2 2

5 3 3 2 2

Answer:

180 = 5 × 3² × 2²

Step-by-step explanation:

Starting with 180, the prime factors are in bold

180 = 90 × 2

      = 45 × 2 × 2

      = 15 × 3 × 2 × 2

      = 5 × 3 × 3 × 2 × 2

Then

180 = 5 × 3 × 3 × 2 × 2 = 5 × 3² × 2²

Answer:

B - Congruent : SAS

Step-by-step explanation:

We are given that there are two sides that are congruent and one angle is congruent and it is in the order Side Angle Side.

Answer:

x = 6 units

Step-by-step explanation:

For θ = 30°, Perpendicular is 3. Hypotenuse is x.

We can use trigonometry to find x.

[tex]\sin(30)=\dfrac{P}{H}[/tex]

[tex]\sin(30)=\dfrac{3}{x}\\\\x=\dfrac{3}{\sin(30)}\\\\x=6[/tex]

So, the value of x is equal to 6 units.

The value of c is 0.

By question,

17x² = 12x

or,(17x-12):x=0

or,17x - 12 = 0#

For some tips,

HENCE PROVED ##

Proportional Linear Relationships can be expressed in the following ways:

From a graphical point of view, a relationship is proportional and linear if the line representing the equation goes via the origin. It is to be noted that a relationship must be linear for it to be proportional and vice versa.

Thus, it is correct to state that Proportional Linear Relationships can be expressed in the following ways:

An example of an equation that is proportional and linear is:
y = 6x + 8. Note that this linear equation is proportional because it has a constant component.

Learn more about the proportional linear relationships at;
https://brainly.com/question/2143065
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Answer:

a+b = 3

Step-by-step explanation:

a = b+4

a^2 = (b+4)(b+4) = b^2 + 8b +16=-b^2 = 12

8b=-4

b = - 1/2

a = 3.5

Answer:

[tex]67.20\%[/tex]

Step-by-step explanation:

Given

[tex]n =2430[/tex] --- sample

[tex]r = 16.72\%[/tex] --- degeneration rate

From the findings, we have:

[tex]p = 377[/tex] --- tested positive

[tex]t =561[/tex] --- total test

Required

The positive predicted value (PPV)

This is calculated using:

[tex]PPV=\frac{Positive}{Total}[/tex]

i.e.

[tex]PPV = \frac{377}{561}[/tex]

[tex]PPV = 0.6720[/tex]

Express as percentage

[tex]PPV = 0.6720 * 100\%[/tex]

[tex]PPV = 67.20[/tex]

Hello,

[tex]Let's\ say \\\\z=\sqrt{3+4*i} =a+b*i\\\\z^2=3+4*i=(a+b*i)^2=a^2-b^2+2i*a*b\\\\\\if \ a\neq 0\\\left\{\begin{array}{ccc}a^2+b^2&=&3\\2ab=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b=\dfrac{2}{a}\\a^2-(\dfrac{2}{a})^2=2\\\end{array}\right.\\\\\\a^4-4=3*a^2\\a^4-3a^2-4=0\\\\\Delta=(-3)^2-4*1*(-4)=25=5^2\\\\a^2=4\ or \ a^2=-1 (impossible)\\\\So:\\(a=2\ and\ b=1)\ or\ (a=-2\ and\ b=-1)\\[/tex]

Roots are thus 2+i and -2-i

There is an other using a geometrical formula (formule de Moivre)

is this year 3 math? Its 4

Answer:

2a+15 = 125(being alternate angle)

or,2a = 125-15

or,2a = 110

or,a = 110÷2

,a = 55

again,2a+15+b+30=180(Being co-interior angle)

or,2×55+15+b+30=180

or,110+15+30+b=180

or,155+b=180

or,b=180-155

Therfore,b=25

Step-by-step explanation:

The function f(x)+7 will shift the parent function up 7 units.

The function f(x+7) will shift the parent function to the left 7 units.

The function 7f(x) will stretch vertically by a factor of 7.

Answer:

110x -200y

Step-by-step explanation:

10(x - 20y) + 100x

Distribute

10x-200y +100x

Combine like terms

110x -200y

Answer:

110x−200y

Step-by-Step Explanation:

Given:

10(x−20y)+100x

First Step: Distribute

(10)(x)+(10)(−20y)+100x

10x+−200y+100x

Second Step: Combine Like Terms:

10x+−200y+100x

(10x+100x)+(−200y)

110x+−200y

Answer:

=110x−200y

Answer:

x = 106°

y = 106°

z = 106°

Step-by-step explanation:

Find x:

Angle on straight line = 180°

[tex]74+x=180[/tex]

[tex]x=180-74[/tex]

x = 106°

Find y:

Angle y and x are corresponding angle which means x and y will be same

y = 106°

Find z:

Angle y and z are equal because, opposite angles are always equal.

z = 106°

hope this helps......

Answer:

x = 106°

y = 106°

z = 106°

Step-by-step explanation:

Answer:

arc BC = 100°

Step-by-step explanation:

The inscribed angle BEC is half the measure of its intercepted arc BC , then

arc BC = 2 × 50° = 100°

hello,

" a turning point is defined as the point where a graph changes from either  increasing to decreasing, or  decreasing to increasing"

a)

[tex]y=x^3+x^2-6x\\\\y'=3x^2+2x-6=0\\x=\dfrac{-2-\sqrt{76} }{6} \approx{-1.786299647...}\\or\\x=\dfrac{-2+\sqrt{76} }{6} \approx{1.1196329...}\\[/tex]

b)

Zeros are -3,0,2.

Sol={-3,0,2}

The solution of the graph function y=x³+x²-6x are -3 , 0 and 2

The link between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of certain points and the connecting lines. It doesn't matter how long the lines are or where the points are located. A node is the name for each element in a graph.

We have the function

y=x³+x²-6x

now, equating it to 0

x³+x²-6x = 0

x² + x - 6= 0

x² - 3x + 2x -6 =0

x(x -3) + 2(x -3)

x= 3 and -2

Now, ew can see from the that the equation is touching the x-axis at three points and it will represent three zeroes of the equation.

So, the solution of the graph are -3 , 0 and 2

Learn more about graph here:

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Answer:

y = -1/3x + 14/3

Step-by-step explanation:

We have the standard equation as;

y = mx + b

where m is the slope and b is the y-intercept

the given points are;

(-1,5) and (2,4)

So we plug x and y for each of the points

then we create two linear equations which we can solve simultaneously to get the values of m and b

From the points;

5 = -m + b•••••••(i)

4 = 2m + b

from i;

b = 5 + m

substitute this into equation ii

4 = 2m + 5 + m

4 = 3m + 5

4-5 = 3m

3m = -1

m = -1/3

Recall;

b = 5 + m

b = 5-1/3

b = 14/3

so we have the equation as;

y = -1/3x + 14/3

Multiply through by 3

3y = -x + 14

Answer:

5/12

Step-by-step explanation:

1/2 x 5/6 = 5/12

Answer:

4

−

4

+

8

2

+

8

Step-by-step explanation:

Answer:

There are 16 pink jelly beans.

There are 16+34+24+26=100 jelly beans in total.

The probability is 4/25, or 16%.

Step-by-step explanation: hope this helps and gl :)

Answer:

The answer is 4/25

Step-by-step explanation:

Hope this helps

[tex]\large\bold{\underline{\underline{ x=-11}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]x \: ( - 12 )= 132[/tex]

[tex]↬ \: x = \frac{132}{ - 12} [/tex]

[tex]↬x = - 11[/tex]

Therefore, the value of [tex]x[/tex] is [tex]\boxed{ -11 }[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]x \: ( - 12) = 132[/tex]

[tex]➺ \: - 11 \: ( - 12) = 132[/tex]

[tex]➺ \: 132 = 132[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

Step-by-step explanation:

x(-12) =  132

To find the value of 'x' , divide  both sides of the equation by (-12)

[tex]\frac{x*(-12)}{(-12)}=\frac{132}{-12}\\\\\\x = -11[/tex]