PLSSSS HELP <3
Which value of C represents a system with infinitely many solutions?
{6x+4y=14}
{9x+6y=C}

Answer:

82

Step-by-step explanation:

because diagonals are equal in quadrilater

Answer:

(3,2)

Step-by-step explanation:

Setting up equation so we can use substitution method

x - y = 1 , x + 3y = 9

step 1 set first equation equal to x by adding y to both sides so we can use the substitution method to solve the system of equations.

x = y + 1 , x + 3y = 9

now we can plug in ( or substitute hence substitution method ) the first equation into the second

Solving for y using the substitution method

x + 3y = 9

plug in x = y + 1

y + 1 + 3y = 9

combine like terms

4y + 1 = 9

subtract 1 from both sides

4y = 8

divide both sides by 4

y = 2

Now to find the value of x we plug in the value of y into one of the equations and solve for x.

Solving for x

x - y = 1

y = 2

x - 2 = 1

add 2 to both sides

x = 3

The solution would be (3,2)

Answer:

x = 3 and y = 2 or (3,2) in coordinate form

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]

Solve by elimination of x-terms by multiplying either one of equations with -1:

For this, I choose to multiply -1 in first equation:

[tex]\displaystyle \large{\begin{cases} -1(x-y=1) \\ x+3y=9 \end{cases}}\\\displaystyle \large{\begin{cases} -x+y=-1 \\ x+3y=9 \end{cases}}[/tex]

Then add both equations:

[tex]\displaystyle \large{-x+x+y+3y=-1+9}\\\displaystyle \large{4y=8}[/tex]

Divide both sides:

[tex]\displaystyle \large{\dfrac{4y}{4} = \dfrac{8}{4}}\\\displaystyle \large{y=2}[/tex]

Next, substitute y = 2 in one of equations to solve for x:

For this, I choose to substitute y = 2 in the first equation:

[tex]\displaystyle \large{x-y=1}[/tex]

Substitute y = 2 in:

[tex]\displaystyle \large{x-2=1}[/tex]

Add both sides by 2:

[tex]\displaystyle \large{x-2+2=1+2}\\\displaystyle \large{x=3}[/tex]

Hence, the solution is x = 3 and y = 2 or you can write as in coordinate form (3,2)

__________________________________________________________

First method is elimination method, I’ll demonstrate another method which is by using matrices to find the solutions.

Given:

[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]

Write the system of equations in matrices form:

[tex]\displaystyle \large{\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]

Let:

[tex]\displaystyle \large{A=\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] }\\\displaystyle \large{X=\left[\begin{array}{ccc}x\\y\end{array}\right] \\\displaystyle \large{B = \left[\begin{array}{ccc}1\\9\end{array}\right] }[/tex]

From [tex]\displaystyle \large{AX=B \to X=A^{-1}B}[/tex] where:

[tex]\displaystyle \large{A^{-1}=\dfrac{1}{\det A} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] = \dfrac{1}{ad-bc} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] }[/tex]

Find [tex]\displaystyle \large{\det A}[/tex]:

[tex]\displaystyle \large{\det A = ad-bc = 3+1=4}[/tex]

Therefore:

[tex]\displaystyle \large{A^{-1} = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right]}\\\therefore \displaystyle \large{X = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right] \left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]

Evaluate the matrices:

[tex]\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3(1)+1(9)\\-1(1)+1(9)\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3+9\\-1+9\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}12\\8\end{array}\right]}\\\displaystyle \large{X= \left[\begin{array}{ccc}3\\2\end{array}\right] }\\\therefore \displaystyle \large{\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}3\\2\end{array}\right]}[/tex]

Therefore, the solution is x = 3 and y = 2

Hello there!

In order to solve this inequality, we should first use the distributive property:-

3(a-4)≥4(a+5)

3a-12≥4a+20

Now, add 12 to both sides:-

3a≥4a+32

Subtract 4a from both sides:-

3a-4a≥32

-a≥32

Divide both sides by -1:-

a≤-32

The inequality sign changed because we divided both sides by a negative number.

[tex]\mathcal{NOTE:-}[/tex]

I hope everything is clear; however, if you need any explanation or clarification, don't hesitate to let me know, and I will comment or edit my answer. Good luck and have a great rest of your day! :)

Answer:

71.98

[tex]d=2\sqrt{ \frac{A}{\pi }} = 2 * \sqrt{\frac{4069.44}{\pi }}[/tex] ≈ 71.98175 rounded to hundred-thousandths

Answer:

The first table

Step-by-step explanation:

If you create a fraction x/y, you will see all of the answers reduce down to -1/4. The other tables don't reduce to the same values.

q=w/ 3-7

q(3-7)= w

hope this helps :)

Answer:

w = 3q + 21

Step-by-step explanation:

assuming you mean

q = [tex]\frac{w}{3}[/tex] - 7 ( add 7 to both sides )

q + 7 = [tex]\frac{w}{3}[/tex] ( multiply both sides by 3 to clear the fraction )

3(q + 7) = w , that is

w = 3q + 21

Answer:

The zeros are -5, -1, 0, 4, 5.

Step-by-step explanation:

x(x2 – 25)(x2 – 3x – 4) = 0

x(x - 5)(x + 5)(x + 1)(x - 4) = 0

so either x or the other 4 factors can be 0 :

x = 0, x - 5 = 0, x + 5 = 0, x + 1 = 0 or x - 4= 0, giving:-

x = 0, 5, -5, -1, 4.

just more and more of these.

⇒ ANSWER :   x = 0, x = 5, x = -5, x = 4 and x = -1

EQUATION GIVEN: g(x) = x(x2 – 25)(x2 – 3x – 4)

1) factorize the equation

g(x)=x(x-5)(x+5)(x²-3x-4)

2) expand the equation

g(x)=x(x-5)(x+5)(x²+x-4x-4)

3) factorize

g(x)=x(x-5)(x+5)(x(x+1)-4(x+1))

4) factor out x+1

g(x)=x(x-5)(x+5)(x-4)(x-1)

5) equate to 0

x(x-5)(x+5)(x-4)(x+1)=0

6) solve for x

x = 0, x = 5, x = -5, x = 4, x = -1

Pain.

     You commented that part of the instruction included "If the theorem cannot be applied, explain the reason."

     The theorem cannot be applied. Since this is not a right triangle, we cannot solve using the Pythagorean Theorem unless we are given a height. If we have the height of this triangle, then we can break it into two different right triangles and solve.

What is a right triangle? A right triangle is a triangle that has an angle measurement of 90 degrees.

       In summary, this is an isosceles triangle and the Pythagorean Theorem only applies to right triangles.

Answer:

This is hard

Step-by-step explanation:

I'm so sorry I can't do it

Answer:

[tex]\frac{69}{20}[/tex]

Step-by-step explanation:

[tex]\frac{3}{7} -\frac{11}{4} +\frac{16}{5} +\frac{18}{7}[/tex]

= [tex]\frac{3}{7} +\frac{18}{7}-\frac{11}{4} +\frac{16}{5}[/tex]

= [tex]\frac{21}{7} -\frac{11}{4} +\frac{16}{5}[/tex] As both denominators have 7 you can add their numerators

=[tex]\frac{21}{7} -(-\frac{9}{20})[/tex]     L.C.M

=[tex]\frac{21}{7} +\frac{9}{20}[/tex]   L.C.M

=[tex]\frac{69}{20}[/tex]

Answer:

12

Step-by-step explanation:

End points of [tex]\overline{RS}[/tex] are:

[tex]R (4, \:-8)\implies x_1 = 4,\: y_1=-8[/tex]

[tex]S (25, \:-1)\implies x_2 = 25,\: y_2=-1[/tex]

Point T divides [tex]\overline{RS}[/tex] in the ratio 4 : 3

[tex]\implies m = 4,\: n= 3[/tex]

Now, by section formula:

[tex]T=\bigg(\frac{mx_2+nx_1}{m+n},\:\:\frac{my_2+ny_1}{m+n}\bigg)[/tex]

Plugging in the values of [tex]x_1 ,\: y_1, \:x_2,\: y_2\:\&\: m, \: n[/tex] in the above formula, we find:

[tex]T=\bigg(\frac{4(25)+3(4)}{4+3},\:\:\frac{4(-1)+3(-8)}{4+3}\bigg)[/tex]

[tex]\implies T=\bigg(\frac{100+12}{7},\:\:\frac{-4-24}{7}\bigg)[/tex]

[tex]\implies T=\bigg(\frac{112}{7},\:\:\frac{-28}{7}\bigg)[/tex]

[tex]\implies T=(16,\:\:-4)[/tex]

Sum of the coordinates of T = 16 + (-4) = 16 - 4 = 12

Answer:

y = [tex]\frac{3}{2}[/tex] x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - [tex]\frac{2}{3}[/tex] (x + 5) ← is in point- slope form

with m = - [tex]\frac{2}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex]

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = [tex]\frac{3}{2}[/tex] x + 7 ← equation of line K

The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given as,

y - 8 = -2/3(x+5)

The equation of the line that is perpendicular to the line y - 8 = -2/3(x+5) is given as,

y = 3/2x + c

The line is passing through (-6, -2), then we have

-2 = 3/2(-6) + c

-2 = -9 + c

c = 7

The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.

More about the equation of a perpendicular line link is given below.

https://brainly.com/question/14200719

#SPJ2

Answer:

13πr/60 units

Step-by-step explanation:

Formula

Solving

Answer:

Ray.

Step-by-step explanation:

Lines have no endpoints, while rays have 1 endpoint (:

Answer:

I think it's B.

Step-by-step explanation:

Answer:

1.9998 inches = radius

Step-by-step explanation:

V=(4/3)πr³

33.5 = (4/3)πx³

33.5 * 3/4 = (4/3)πx³(3/4)

25.125 / π = (πx³) / π

[tex]\sqrt[3]{7.998}[/tex] = [tex]\sqrt[3]{x^3}[/tex]

1.9998 = x

Answer:

its 10

Step-by-step explanation:

The reason its 10 is because it shows more 10 then any number

Answer:

The median is 8.1

Step-by-step explanation:

You add up all the numbers and divide it by how much numbers there are.

1) Add. 1 + 7+ 16 + 18 + 40 = 81

2) Count. There are 10 numbers.

3) Divide 81/10

4) 8.1

The median is 8.1

Answer:

A

Step-by-step explanation:

my brain says so?

The volume of 3 of shipping containers 267.75 cubic yards.

We need to find the volume of one shipping container and then multiply it by 3 to find the volume of three shipping containers.
Find the volume of one shipping container.
Volume = Base Area × Height
Volume = 25.5 square yards × 3.5 yards
Calculate the volume.
Volume = 89.25 cubic yards
Find the volume of three shipping containers.
Total Volume = Volume × Number of Containers
Total Volume = 89.25 cubic yards × 3
Calculate the total volume.
Total Volume = 267.75 cubic yards.

For similar question on volume.

https://brainly.com/question/12410983

#SPJ11

Answer:

Depends on the question or if it specifically says to.

Step-by-step explanation:

For finding the volume of cylinders and spheres use the pi symbol or just say "use 3.14 for pi"

Answer:

n=5

Step-by-step explanation:

So I'm not sure how to write the equation, but i do know that each term has five added from the previous one, hope that help a little bit!

Answer:

$292.00

Step-by-step explanation:

Total amount collected= number of people×amount per each person

total amount= 73×$4.00

Total amount collected=$292.00

Answer:

$292

Step-by-step explanation:

its really easy, you just multiply 73 to 4

Step-by-step explanation:

it is a combination of a cone and half a sphere.

the volume of a cone is

ground area × height / 3

the ground area is a circle, so we have

pi×r²×h/3

in our case

pi×(10/2)²×12/3 = pi×5²×4 = pi×25×4 = 100pi

the volume of a sphere is

4/3 × pi×r³

and half a sphere is then

4/3 / 2 × pi×r³ = 4/6 × pi×r³ = 2/3 × pi×r³

in our case

2/3 × pi×5³ =2/3 × pi×125 = 250/3 × pi

together we get

100pi + 250/3 × pi = 300/3 × pi + 250/3 × pi =

= 550/3 × pi = 575.9586532... cm³ ≈ 576 cm³

if we use 3.14 for pi we get

575.6666666... cm³ ≈ 576 cm³

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Since it's a Trapezoid with its non - parallel sides equal to one another,

[tex]\qquad \sf  \dashrightarrow \:\angle A + \angle P = 180[/tex]

[ By forming co - interior angle pair ]

[tex]\qquad \sf  \dashrightarrow \:\angle A +100 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:\angle A = 180 - 100[/tex]

[tex]\qquad \sf  \dashrightarrow \:\angle A = 80 [/tex]

Now, similarly,

[tex]\qquad \sf  \dashrightarrow \:\angle A + \angle R = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \: \angle R + 80 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \: \angle R = 100[/tex]

Similarly,

[tex]\qquad \sf  \dashrightarrow \angle K + \angle R = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \angle K + 100 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \angle K = 80[/tex]

Consecutive angles are supplementary

Opposite angles are equal

Opposite angles are equal again

Answer:

[tex]\pi[/tex] is infinite. 3.14 only has three numbers.

Step-by-step explanation:

so [tex]\pi[/tex] multiplied by any number (except 0) will have infinite numbers

Answer:

See below ↓

Step-by-step explanation:

When multiplying a number by 3.14, which is the simplified version of pi, it will give a constant term. But, when multiplying by π, the actual value is equal to 22/7, and it is a non-terminating decimal. Therefore, when you multiply any number with 3.14, it will be slightly lesser than when you multiply with π.

Answer:

  19

Step-by-step explanation:

The triangle inequality tells you the possible values of x are ...

  24 -10 < x < 24 +10

  14 < x < 34

There are 19 integer values of x in this range.

Answer:

x = 5

Step-by-step explanation:

Tangents from a specific point are equal in length.

3x - 7 = 18 - 2x

5x - 7 = 18

5x = 25

x = 5

Answer:

-8

Step-by-step explanation:

Hey there!

(1/2)(10) - (-12) - 25

= 1/2(10) - (-12) - 25

= 5 - (-12) - 25

= 5 + 12 - 25

= 17 - 25

= -8

Therefore, your answer is: -8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)