For the following systems of equations, match each diagram on the left with its solution on the right.

Answer:

8.4 ft

Step-by-step explanation:

Perimeter = side x 4

(Re-arrange)

Side = Perimeter / 4

34/4 = 8.4 ft

Answer:

8.5 feet

Step-by-step explanation:

Divide 34 by 4. A square has 4 sides which are all the same.

Answer:

6 friends

Step-by-step explanation:

8 friends came to watch the movie.

3/4 of them stayed overnight.

The number of people that stayed overnight will be the product of 3/4 by 8:

3/4 * 8 = 24 / 4 = 6

6 friends stayed overnight.

Answer:

6 friends because the three fourths are gone

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

well AEB is a straight line which is 180° and we were already given the angles that made up the straight line ,so all u had to do was subtract 60° from 90°

BED =30°

Answer:

AEC=30

BED=30

Step-by-step explanation:

We know that AEC is 30 degrees because it is on line AB, along with a right angle and 60 degrees, add 90 to 60 to get 150, and subtract it from 180 to get your answer, 30

As for BED, AEC and BED are verticle angles so they are equivalent.

If you found this helpful, please consider giving me brainliest, it will help me a lot

Have a good day! :)

Answer:

P(A|B) = P(A)

Step-by-step explanation:

If events A and B are independent, then we have:

P(A) x P(B) = P(A⋂B)

As the conditional probability formula states:

P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)

=> P(A) x P(B) = P(A|B) x P(B) = P(B|A) x P(A)

or

P(A) = P(A|B)

or

P(B) = P(B|A)

Answer:

B

Step-by-step explanation:

Answer:

-4x

Step-by-step explanation:

5x - 9x

Factor out x

x( 5-9)

x ( -4)

-4x

Answer:

Step-by-step explanation:

To find the constant in the equation pick any values of x and y and substitute it into the equation

First make constant the subject

constant = height × width

From the question

Using

height = 30

width = 2

We have

constant = 30 × 2 = 60

Again

Using

height = 12

width = 5

constant = 12 × 5 = 60

Since the constant is the same for any values used

Hope this helps you

Answer:

Tamanna scored more.

Step-by-step explanation:

Bhaskar scored -60, 20 and 0. His total score is therefore:

-60 + 20 + 0 = -40

Tamanna scored 20, 0, 60. His total score is therefore:

20 + 0 + 60 = 80

Therefore, Tamanna scored more.

Answer: x=25

Step-by-step explanation: There are 180 degrees in a triangle. Two of the angles (56 and 99) add up to 155. The last angle, which is x, is 180-155. Therefore, x is 25.

hope this helped you:)

Answer:

The answer is 25°.

Step-by-step explanation:

simply,

here, a triangle of measure 99° and 56° is given.

now, we have;

99°+56+ x= 180° ( sum of an interior angle of a triangle is 180°)

or, 155°+x= 180°

or, x= 180°-155°

therefore, the value of x is 25°.

hope it helps..

Answer:

y = 9.1

Step-by-step explanation:

By applying Sine rule in the given triangle WXY,

[tex]\frac{\text{SinW}}{\text{XY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinX}}{\text{WY}}[/tex]

[tex]\frac{\text{SinW}}{\text{w}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinX}}{\text{x}}[/tex]

Since m∠W + m∠X + m∠Y = 180°

m∠W + 58° + 106° = 180°

m∠W = 180° - 164°

m∠W = 16°

[tex]\frac{\text{Sin16}}{\text{w}}=\frac{\text{Sin106}}{\text{y}}=\frac{\text{Sin58}}{\text{8}}[/tex]

[tex]\frac{\text{Sin106}}{\text{y}}=\frac{\text{Sin58}}{\text{8}}[/tex]

y = [tex]\frac{8\times (\text{Sin106})}{\text{SIn58}}[/tex]

y = 9.068

y ≈ 9.1

Answer:

<S = 62 degrees

Step-by-step explanation:

For this problem, you need to understand two things.  A line tangent to a circle's radius creates a 90-degree angle, and the sum of the interior angles of a triangle is 180 degrees.  With that said, let's continue.

<S + <P + <Q = 180

<S + 90 + 28 = 180

<S + 118 = 180

<S = 62

Hence, <S = 62 degrees.

Cheers.

Answer: (4,90)

Step-by-step explanation:

In a coordinate pair, the first number represents the x-axis and the second represents the y-axis.

Hope it helps <3

Answer:

C (4,90)

Step-by-step explanation:

In the graph, the point P is on 4 along the x-axis,

and 90 on the y-axis,

therefore making it's coordinates (4, 90).

Hope this helped! :)

Answer:

0.897

Step-by-step explanation:

Brahmagupta formula for quadratic equation [tex]ax^2+bx=c[/tex] is

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

It involved only one solution.

The given equation is

[tex]3x^2+4x=6[/tex]

Here, a=3, b=4 and c=6. Put these values in the above formula.

[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]

[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]

[tex]x=\dfrac{\sqrt{72+16}-4}{6}[/tex]

[tex]x=\dfrac{\sqrt{88}-4}{6}[/tex]

[tex]x\approx \dfrac{5.38}{6}[/tex]

[tex]x\approx 0.897[/tex]

Therefore, the required solution is 0.897.

Correct question :

If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A rectangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)

Answer: (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3)

Step-by-step explanation:

Given the following :

A triangle with base x + 2, height x, and side length x + 4 - - - -

b = x + 2 ; a = x ; c = x + 4

Perimeter (P) of a triangle :

P = a + b + c

P =( x + 2) + x + (x + 4) - - - (1)

A rectangle with length of x + 3 and width of one-half x

l = x + 3 ; w = 1/2 x

Perimeter of a rectangle (P) = 2(l+w)

P = 2(x+3) + 2(1/2x)

If perimeter of each same are the same ; then;

(1) = (2)

(x + 2) + x + (x + 4) = 2(x+3) + 2(1/2x)

Answer:

B

Step-by-step explanation:

Answer: A. Factor 2 => 4x greater

                   Factor 3 => 9x greater

                   Factor 5 => 25x greater

Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:

A = 2.π.r.h

A cylinder of radius r and height h has area:

[tex]A_{1}[/tex] = 2πrh

If multiply both dimensions by a factor of 2:

[tex]A_{2}[/tex] = 2.π.2r.2h

[tex]A_{2}[/tex] = 8πrh

Comparing [tex]A_{1}[/tex] to [tex]A_{2}[/tex] :

[tex]\frac{A_{2}}{A_{1}}[/tex] = [tex]\frac{8.\pi.rh}{2.\pi.rh}[/tex] = 4

Doubling radius and height creates a surface area of a cylinder 4 times greater.

By factor 3:

[tex]A_{3} = 2.\pi.3r.3h[/tex]

[tex]A_{3} = 18.\pi.r.h[/tex]

Comparing areas:

[tex]\frac{A_{3}}{A_{1}}[/tex] = [tex]\frac{18.\pi.r.h}{2.\pi.r.h}[/tex] = 9

Multiplying by 3, gives an area 9 times bigger.

By factor 5:

[tex]A_{5} = 2.\pi.5r.5h[/tex]

[tex]A_{5} = 50.\pi.r.h[/tex]

Comparing:

[tex]\frac{A_{5}}{A_{1}}[/tex] = [tex]\frac{50.\pi.r.h}{2.\pi.r.h}[/tex] = 25

The new area is 25 times greater.

B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.

Answer:

C

Step-by-step explanation:

When you use pemdas, it gives the value of 1/32

Answer:

See attached figure with table filled in.

Step-by-step explanation:

Answer:

[tex]\boxed{\mathrm{view \: attachment }}[/tex]

Step-by-step explanation:

Vertex is the highest or lowest point of a parabola.

Axis of symmetry is the line that cuts the parabola in half.

y-intercept is the point where the parabola touches the y-axis.

The maximum or minimum values are the highest or lowest values the parabola can reach.

x-intercepts are the points where the parabola touches the x-axis.

In order to solve this problem, we will need a little more information, for example, we need to know what the functions are. Let's say the problem looks like this:

Use the drawing tool(s) to form the correct answer on the provided number line. Consider the functions below.

[tex]f(x)=|3x|-3[/tex]

and

[tex]g(x)=-x^{2}+8x-5[/tex]

Represent the interval where both functions are increasing on the number line provided.

Answer:

See attached picture

Step-by-step explanation:

Since this problem is posted on the algebra section of Brainly, I assume we will need to make use of an algebraic approach to solve this. Basically, the idea is to graph the functions and find the x-values for which both functions increas. In order to graph the functions, we will need to build a table with points for each of the functions. In order to graph the functions you need to pick the x-values you wish and evaluate them in the given functions. (See attached pictures)

Once you got the desired points, you can plot them in the coordinate axis and find the x-values for which both graphs will be increasing. If we take a close look at the graphs we can see the f(x) graph increases in the interval:

(0,∞)

and the g(x) graph increases in the interval:

(-∞,4)

so the interval in which both graphs are increasing will be the region where both intervals cross each other, which will be (0,4)

so that's the interval we draw on our number line. (see attached picture.

Answer:

see photos

Step-by-step explanation:

Plato/Edmentum

Answer:No solution

Step-by-step explanation:An absolute value equation cannot equal a negative number

Answer: Charmaine wil use 2000 mL of solution B

Step-by-step explanation: Suppose that volume of solution B for the mixture is J.

Volume of solution A used is [tex]V_{A}[/tex] = 0.12*800

Volume of solution B used is [tex]V_{B}[/tex] = 0.4*J

Volume Total is V = 800 + J

0.12*800 + 0.4*J = 0.32(800 + J)

96 + 0.4J = 256 + 0.32J

0.08J = 160

J = 2000

Volume of solution B is 2000mL or 2L.

Answer:

Option (A)

Step-by-step explanation:

Every cube has 8 vertices and 6 faces.

Cube shown in the picture attached,

Diagonal through interior of the given cube will be the segments joining the vertices A-H, G-B, C-F and D-E.

Therefore, from the given options diagonal of the interior of the cube will be Side AH.

Option A will be the answer.

Answer:

the awnser is A

Step-by-step explanation:

i took a quiz

Answer:

see explanation

Step-by-step explanation:

  x - 2 |    x² - x - 12

          ------------------------

          x³ - 3x² - 10x + 24

          x³  - 2x²    ↓       ↓      ← subtract terms from terms above

         --------------------------

               - x²    - 10x + 24

               - x²   + 2x       ↓          ← subtract terms from terms above

         ----------------------------

                       - 12x + 24

                       - 12x + 24           ← subtract terms from above terms

          ----------------------------

                                    0 ← remainder

Since remainder is zero then (x - 2) is a factor

and quotient = x² - x - 12 , thus

x³ - 3x² - 10x + 24 = (x - 2)(x² - x - 12) = (x - 2)(x - 4)(x + 3)

Answer:

D

Step-by-step explanation:

The triangle is an isosceles triangle which means that two sides are the same, A is the same size of the equal side so A is D.

Answer:

The answer is D.

Answer:

B. The given value is a for the because the data collected represent a . statistic year sample

Step-by-step explanation:

A population is the total of similar items that are of interest to the researcher.

Since the researcher cannot measure each of these items he chooses a part of it to measure. This part of the population is called a sample.

A good sample is representative of the larger population. Deduction made from the sample is used to represent the whole population.

In this scenario the population is the whole year, and the sample is 41 days.

So the mean derived from the sample is statistic of sample from the year.

This can be used to make deductions about the whole year.

Answer:

Relative frequencies:

Headaches = 23.55 %

Hypertension = 8.68%

Upper respiratory tract infections =24.79%

Nasopharyngitis = 21.07

Diarrhea = 21.09%

None of these adverse reactions appear to be much more common than the others.

Step-by-step explanation:

Compute frequency:

The number of adverse reactions categories:

Headaches

Hypertension

Upper respiratory tract infections

Nasopharyngitis

Diarrhea

Frequency of each adverse reaction:

Adverse reaction                                Frequency        

Headaches                                                 57                    

Hypertension                                              21

Upper respiratory tract infections             60

Nasopharyngitis                                          51

Diarrhea                                                       53

Compute total frequency

Total frequency is compute dby taking sum of all frequencies;

Sum of frequencies = 57 + 21 + 60 + 51 + 53

                                 = 242

Compute relative frequency:

In order to find if any one of these adverse reactions appear to be much more common than the others, we have to compute relative frequency using these adverse reactions.

By calculating relative frequency we are looking at the number of times a specific adverse reaction appears to be more common, compared to the others.

To calculate relative frequency, divide the frequency of each adverse reaction by the total frequency i.e. 242.

Relative frequency for Headache = 57 / 242

                                                        = 0.2355

                                                        = 23.55 %

Relative frequency for Hypertension = 21 / 242

                                                             = 0.0868

                                                             = 8.68 %

Relative frequency for Upper respiratory tract infections = 60 / 242

                                                                                              = 0.2497

                                                                                              = 24.97 %

Relative frequency for Nasopharyngitis = 51 / 242

                                                                  = 0.2107

                                                                   = 21.07 %

Relative frequency for Diarrhea    = 53 / 242

                                                        = 0.2190

                                                         = 21.90 %

If you observe the relative frequencies of all the adverse reactions, none of them appear to be much more common than the others. Relative frequencies of headaches, upper respiratory tract infections, nasopharyngitis and diarrhea are almost equally common however, relative of hypertension appears to be very less than the other three.

Answer: THE ANSWER IS A

Step-by-step explanation:

5-(3/2)^3

=13/8

im a math god

Answer:

The area of the triangle is [tex]346.0\ mm^2[/tex]

Step-by-step explanation:

Given

Triangle VWU

Required

Determine the Area of the Triangle

First, we'll solve for the third angle

Angles in a triangle when added equals 180;  So

[tex]36 + 24 + <V = 180[/tex]

[tex]60 + <V = 180[/tex]

[tex]<V = 180 - 60[/tex]

[tex]<V = 120[/tex]

Next is to determine the length of VW using Sine Law which goes thus

[tex]\frac{VW}{Sin24} = \frac{34}{Sin36}[/tex] (Because 24 degrees is the angle opposite side VW)

Multiply both sides by Sin24

[tex]SIn24 * \frac{VW}{Sin24} = \frac{34}{Sin36} * Sin24[/tex]

[tex]VW = \frac{34}{Sin36} * Sin24[/tex]

[tex]VW = \frac{34}{0.5878} * 0.4067[/tex]

[tex]VW = 23.5 mm[/tex] (Approximated)

At this stage, we have two known sides and two known angles;

The Area can be calculated as the 1/2 * the products of two sides * Sin of the angle between the two sides

Considering VW and VU

VW = 23.5 (Calculated);

VU = 34 (Given)

The angle between these two sides is 120 (Calculated);

Hence;

[tex]Area = \frac{1}{2} * 23.5 * 34 * Sin120[/tex]

[tex]Area = \frac{1}{2} * 23.5 * 34 * 0.8660[/tex]

[tex]Area = \frac{1}{2} * 691.934[/tex]

[tex]Area = 346.0 mm^2[/tex]

Hence, the area of the triangle is [tex]346.0\ mm^2[/tex]

Answer:

This contradict of the chain rule.

Step-by-step explanation:

The given functions are

[tex]f(x)=x^2[/tex]

[tex]g(x)=|x|[/tex]

It is given that,

[tex](f\circ g)(x)=|x|^2=x^2[/tex]

[tex](g\circ f)(x)=|x^2|=x^2[/tex]

According to chin rule,

[tex](f\circ g)(c)=f(g(c))=f'(g(c)g'(c)[/tex]

It means, [tex](f\circ g)(c)[/tex] is differentiable if f(g(c)) and g(c) is differentiable at x=c.

Here g(x) is not differentiable at x=0 but both compositions are differentiable, which is a contradiction of the chain rule

Answer:

The solution of the system of equations is (x,y) = (2,0)

Step-by-step explanation:

The equation of a line through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is equal to:

[tex]y-y_1=m(x-x_1)[/tex]

Where [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So, the equation of the line through the points (3, 1) and (–5, –7) is:

[tex]m=\frac{-7-1}{-5-3}=1[/tex]

[tex]y-1=1(x-3)\\y=x-3+1\\y=x-2[/tex]

Then, we have two equations, y=x-2 and y=0.5x -1 , so solving for x, we get:

x - 2 = 0.5 x - 1

x - 0.5x = 2 - 1

x = 2

Replacing x=2 in the equation y=x-2, we get:

y =2 - 2 = 0

Finally, the solution of the system of equations is (x,y) = (2,0)

Answer:The solution of the system of equations is (x,y) = (2,0)

Step-by-step explanation:

Answer:

-30

Step-by-step explanation:

7m + 2n - 8p/n

Let  m = –4, n = 2, and p = 1.5

7(-4) + 2 ( 2) -8*(1.5)/2

-28 + 4 - 4*1.5

-28+ 4 - 6

-30

Answer:

-30

Step-by-step explanation:

Hey there!

Well given,

m = -4

n = 2

p = 1.5

We need to plug those number into,

7m + 2n - 8p/n

7(-4) + 2(2) - 8(1.5)/(2)

-28 + 4 - 12/2

-28 + 4 - 6

-24 - 6

-30

Hope this helps :)

Answer:

The second choice should be the best fit line.