Which ordered pair is the solution of the system of linear equations?

1(-4,-2)
2(-4,2)
3(-2,-4)
4(2,4)

The value of x is equal to -5/6

To solve this question, we have to add two polynomials together. The polynomials are;

This involves adding of two or more different polynomials together. The polynomials adding together are or must be of the same degree. i.e x^2 must add to another coefficient of x^2 and x^3 adds to another coefficient of x^3 and so on.

In this given question, let's add the polynomials together.

[tex](3x^2+3x+5) + (7x^2-9x = 8\)\\3x^2 + 7x^2 + 3x-9x+5-8 =10x^2-6x-3[/tex]

Now, let's equate this with the last polynomial given

[tex]10x^2-6x-3=10x^2-12x-13\\10x^2-10x^2-6x+12x-3+13\\0+12x+10\\12x=-10[/tex]

Let's solve for x

[tex]12x=-10\\x=-\frac{10}{12}\\x = -\frac{5}{6}[/tex]

The value of x is equal to -5/6

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Answer:

C. Quadrant I

Step-by-step explanation:

For a fact, that with radioactive substance it will decay and never stop halving itself. So the line of amount of radioactive substance always halves in a specific time. This type of graph are done in a positive unit grids, never on a negative because that would mean, the radioactive substance rather decaying, its absorbing. So the answer will be Quadrant I.

Visual likewise graph given below.

Answer:

Step-by-step explanation:

Both the time and the amount of the substance are positive.

Since both input and output are positive, it is possible in the fist quadrant.

Correct choice is C

Answer

1/13 (non-simplified: 4/52)

Step-by-step explanation:

there are a total of 4 kings, and there is a 4 in 52 chance of drawing a king. that equates to 4/52 which simplifies to 1/13

please shoot a comment if you have an questions.

hope this helped, have a good day :)

The order of selecting the balls is an illustration of permutation and combination

The given parameters are:

The possible number of winning numbers in any order is calculated using the following combination expression

[tex]n = ^{69}C_5 * ^{24}C_1[/tex]

This gives

[tex]n = 11238513* 24[/tex]

Evaluate the product

[tex]n = 269724312[/tex]

Hence, the possible number of winning numbers is 269724312

When order is important, we make use of permutation.

So, we have:

[tex]n = ^{69}P_5 * ^{24}P_1[/tex]

This gives

[tex]n = 1348621560* 24[/tex]

Evaluate the product

[tex]n = 32366917440[/tex]

Hence, the possible number of winning numbers in order is 32366917440

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Answer:

There are 102 students in each period.

Step-by-step explanation:

first you convert 3 3/4 to an improper fraction

also convert 12/3to an improper fraction

3 3/4= 15/4

1 2/3=5/3

15/4 x5/3

=75/12

To mixed fraction it is 6 1/4

Step-by-step explanation:

c² = a² + b² - 2ab cosC

or, c² = 22² + 27² - 2(22)(27) cos105

or, c² = 484 + 729 - 1188 (cos105)

or, c² = 1520.48

so, c = 38.99

so, c = 39 ft. approximately (missing side)

Answer:

5

Step-by-step explanation:

3x5 = 15

20-15 = 5

Answer:

5

Step-by-step explanation:

20-3x5=

3x5=15

20-15=5

hope this helps!!

Answer:

0.3 0r 3/10

Step-by-step explanation:

4/5 - 1/2 = 3/10 = 0.3

Answer:

a, d, e

Step-by-step explanation:

use the formula for area of a circle ([tex]\pi[/tex][tex]r^{2}[/tex]) to get 162.78

Answer:

(3,-4)

Step-by-step explanation:

There is a graphing calculator called desmos that can help you answer questions like this, but, if you don't want to use that, you can just make a graph and imagine the transformation. Remember, when you reflect something over an axis, it is like you are folding the graph along the axis and your new point will be on the other side.

Answer:

(3,-4)

Step-by-step explanation:

The rule to follow for reflecting a figure across the y-axis is to take the original coordinate (x, y) and change it to (−x, y)

Answer:

Step-by-step explanation:

By alternate interior angles, angle DCB = 109 degrees.

DCB and angle m are same side interior, so m = 180 - 109 = 71

Answer:

there are 3.75 cups of bleach in 5 batches of the cleaning solution.

Step-by-step explanation:

Answer:

-11 yd/s

Step-by-step explanation:

We basically have to the find slope between the given points

Let h(t)₁ = 0

     h(t)₂ = 33

      t₁ = 6

      t₂ = 3

We have to find the change in distance (h(t)₁ - h(t)₂) then divide it by the change in x (t₁ - t₂)

6 - 3 = 3

This means the change of x is 3

0 - 33 = -33

This means the change in distance is -33

Now divide -33 by 3

-33 ÷ 3 = -11

Answer:

1.25x + 7.25 < 35.75 is the answer.

Answer:

Denise types faster.

Step-by-step explanation:

In order to get to 12 minutes you must times 4 by 3. When you do this you also must time 13 by 3. That number is greater than Nancy's typing rate, so that means Denise is faster.

Answer:

Personally they both type slow but denise

Step-by-step explanation:

because denise is averaging 3 words 1 minute and nancy is averaging 2 words a minute I type an average of 48 Words per miniute

Step-by-step explanation:

given hypotenuse (H), find opposite (O) :

using sin ( SOH),

sin 45° = opp. / hyp.

sin 45° = x / 4√2

x = 4√2 × sin 45°

x = 4

hope this helps you!

-s.

Answer: yes

Step-by-step explanation:

Side JH and side HI are congruent and angle J and angle I are congruent so the two triangles are also congruent

The given two triangles EJH and EIH are congruent by the RHS congruency rule of two triangles.

Congruence of triangles:

If two or more triangles having same size and shape, then they are congruent to each other.

Every angle and sides are must be equal to each other and hence area is also equal.

How to show congruence in right angled triangles?

Here we have given that two triangles EJH and EIH, both are right angled triangles.

In any two right angled triangles having same hypotenuse and base side then they are congruent to each other by the RHS congruency

Here we have given side HJ ≅ side HI

∠EJH = ∠EIH = 90°

The common side EH is hypotenuse for both that is side EH = side EH

Therefore by RHS criteria these two triangles are congruent.

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#SPJ2

Answer:

GCF 35, 28 is 7

GCF 36, 27 is 9

Step-by-step explanation:

Greatest means biggest.

Common means same.

Factor means a number that goes evenly into the number. (3 goes into 27, so 3 is a factor of 27. 5 doesn't go evenly into 27, so 5 is not a factor of 27)

The biggest number that goes into both 35 and 28 is 7.

1, 5, 7, 35 are factors of 35.

1, 2, 4, 7, 14, 28 are factors of 28.

The biggest factor that's the same is the 7.

factors of 36:

1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 27:

1, 3, 9, 27

The biggest same factor is 9

Answer: 38

Step-by-step explanation:

We know it's a parallelogram b/c there are 2 pairs of opposite parallel sides.

So this means that AB = DC = 9 and BC = AD = 10 since opposite sides of a parallelogram are congruent.

Meaning perimeter = 9 + 9 + 10 + 10 = 38

Answer:

Step-by-step explanation:

Given sequence:

This is a GP with:

The nth term is:

The 11th term is:

Answer: Pam has 7 and Bill has 11

Step-by-step explanation:

Answer:

Bill has 11 stickers

Step-by-step explanation:

7+4=11 and 11+7=18

18 is the amount that both Pam and Bill have.

Answer:

8 hours

Step-by-step explanation:

For this question you would use long division what's 44 divided by 5.5=8

5.5 x 1=5.5

5.5 x 2=11

5.5 x 3=16.5

5.5 x 4=22

5.5 x 5=27.5

5.5 x 6=33

5.5 x 7=38.5

5.5 x 8=44

Hope it helps!   :)

23) The proof that ΔRSU is congruent to ΔTUS is from; SAS Congruency theorem.

18) The proof that ΔHOW and ΔNEW are congruent is from; SAS congruency theorem.

23) We are given a rectangle RSTU with diagonal US.

Now, we are told that;

UR is parallel to ST

∠R and ∠T are right angles

We can say that for ΔRSU and ΔTUS, that US is equal to itself in both cases by the reflexive property of congruence.

Now, since ∠R and ∠T are right angles, it means that UR is equal to ST.

Thus for the two triangles;

UR = ST

US = US

∠R = ∠T

There are two corresponding equal sides and one corresponding equal angle and as such, ΔRSU and ΔTUS are congruent by SAS congruency postulate.

18) We are given that;

H O = EN

HW = NW

Now, since HN intersects OE at W, then we can say that;

∠HWO = ∠NWE (Alternate angles)

There are two corresponding equal sides and one corresponding equal angle and as such, ΔHOW and ΔNEW are congruent by SAS congruency postulate.

Read more about Congruent Triangles at; https://brainly.com/question/1675117

The red arc is named "minor arc EF" or simply "arc EF". This is the shortest distance from E to F along the curve.

The measure of arc EF is 68 degrees as this is the central angle that subtends this same arc.

Answer:

Step-by-step explanation:

Triangles ADB and CDB are congruent, so each is half the total area. The area of ADB is ...

  A = 1/2bh

  A = 1/2(DB)(1/2AC) = 1/4(DB)(AC)

The area of the kite is twice this value:

  A = 1/2(DB)(AC)

__

In order to use the formula derived in part 1, we need to know the length of BE. That can be found using the Pythagorean theorem:

  BE² +AE² = AB²

We know that AE = 1/2AC, so the desired dimension is ...

  BE = √(AB² -(1/4)AC²)

Then the area of the kite is ...

  area = 1/2(DB)(AC)

  area = (1/2)(AC)(ED +√(AB² -(1/4)AC²)

__

Given three sides of a triangle, the area of it can be found using Heron's formula. If you have not yet seen that in your geometry class, you can always use the Pythagorean theorem and some algebra.

As before, we need to know the lengths of the diagonals. One is given. The other can be found considering the Pythagorean relations:

  AD² = AE² +DE²

  AB² = AE² +BE²

  BE +DE = BD . . . . the sum of the horizontal diagonal lengths

Subtracting the second equation from the first gives ...

  AD² -AB² = DE² -BE²

Using the third to write an expression for DE, we get an equation for BE:

  AD² -AB² = (BD -BE)² -BE²

  AD² -AB² = BD² -2BD·BE +BE² -BE²

  (AB² +BD² -AD²)/(2BD) = BE

Substituting this into the original second equation, we can find AE, hence the area of the kite.

  AE² = AB² -((AB² +BD² -AD²)/(2BD))²

Which means the kite area is ...

  area = BD·AE = BD√(AB² -((AB² +BD² -AD²)/(2BD))²)

  area = (1/2)√(4·AB²·BD² -(AB² +BD² -AD²)²

This area formula demonstrates it is possible to find the area of the kite given the three lengths AB, BD, DA.

_____

Additional comment

We have no doubt that the area formula of Part 3 can be rearranged to match Heron's formula. Here, we're interested in demonstrating area can be found.

The conclusion is valid in this instance because the sample is homogenous and an experimental study was performed.

An experimental study is one in which there is a dependent variable and there is a dependent variable. Also a control is used to establish the validity of the results.

In this case the dependent variable is the level of softness after treatment while the independent variable is the type of water softener used.

The conclusion is valid in this instance because the sample is homogenous and an experimental study was performed.

Learn more about experiment: https://brainly.com/question/9199868