Two cars leave for a vacation at the same time.
The drivers estimate how far they can travel in the first few hours.
Car B starts downtown.
Meanwhile, Car A starts 100 miles closer, heading to the same destination.
The graph shows the motion of each car.
Their speeds can be compared by comparing the steepness of the graphed line.

Use the drop-down menus to complete the statements.

These two triangles are congruent by angle angle side(AAS) congruency theorem.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

From the given figure line segment AB is similar to line segment CD.

Angle E is congruent to angle D hence line segment AB is congruent to line segment BC.

So, These two triangles are congruent by angle angle side congruency theorem.

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Answer:

Below

Step-by-step explanation:

The line has negative slope and y-axis intercept = 2  from inspection

 two points on the line are needed to calculate the slope

    find two easy to work-with points

          like   (-3,4)  and  (4,-1)

           slope = (y1-y2) / ( x1-x2)  = (4 - -1) / ( -3-4) =  -5/7

Slope intercept form   y = mx +b     m is slope   b is intercept of y-axis

                               soooo   ...   y = -5/7 x + 2

The graph is rather fuzzy:

I looked a little longer and decided points   (-4,5) and (4,-1) may be more accurate:

 slope =  5--1 / -4-4 =- 6/8      so then the answer would be  y = -3/4x + 2

As d2y/dx2 is positive, the rate of change of gradient is positive, that means (2,-10) is a minimum point.

As stated in the video, the rate of change of dy/dx is the second derivative ( d2y/dx2 )

Thus, at a stationary point (dy/dx = 0), when d2y/dx2 < 0 meaning the rate of change of the gradient is negative the point is a maximum point. We can see that in the image below.

And at minimum points the rate of change of gradient is positive. Thus d2y/dx2 > 0 at minimum points.

A curve has equation y=x3 -12x +6 Find the coordinates of each stationary point, and the nature of these points (minimum or maximum).

Find when dy/dx = 0

dy/dx=3x2 -12

3x2 – 12 = 0

x2 =4

x = 2 or x=-2

when x = 2 y=-10 when x= -2 y=22

Thus, coordinates of stationary points are (2,-10) and (-2,22)

Now in order to find whether they are maximum or minimum points, we have to calculate d2y/dx2

d2y/dx2 = 6x

when x=2 d2y/dx2 = 12

As d2y/dx2 is positive, the rate of change of gradient is positive, that means (2,-10) is a minimum point.

when x= -2 d2y/dx2 = -12

As d2y/dx2 is negative, the rate of change of the gradient is negative, which means that (-2,22) is a maximum point

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Answer:

It's going to take 32.7 years

Answer:

Step-by-step explanation:

You want the values of x and y that make the quadrilateral a parallelogram, given the halves of one diagonal are marked (3x-14) and (x+2), and the halves of the other diagonal are marked (4y-7) and (y+11).

The diagonals of a parallelogram bisect each other. This means the marked segments on each diagonal are congruent.

  (3x -14) = (x +2)

  2x = 16 . . . . . . . . . add 14-x

  x = 8 . . . . . . . . divide by 2

  (4y -7) = (y +11)

  3y = 18 . . . . . . . . . add 7-y

  y = 6 . . . . . . . . divide by 3

The values of x and y are 8 and 6, respectively.

The greatest number of cups that can be completely filled with water is 2.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The greatest number of cups that can be completely filled with water will be:

1000ml = 1 liter

2/3l = 667ml

Therefore, the number of cups will be:

= 667 / 275

= 2

The greatest number of cups is 2.

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Answer:

H=5

Step-by-step explanation:

25=1/2h(2+8)

25=1/2h(10)

25=10*h/2

what is dividend by 2 equals 25?

50

what times 10 equals 50?

5

Observing the nature of the graph and the pattern it develops relating time and distance covered by Manuel, The graph explains the nature of distance covered in bike with respect to time.

A representation of the relationship between two variables, often measured along one of two right-angled axes each.

Different types of graphs are:

Manuel drives away from house for 2 units of time and stayed at a place for another 2 units of time. He start to bike towards the house for 2 units of time and again started to travel away for a single unit of time. He stayed at a place for 2 unit of time and bike back to the house in 5 units of time.

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By using simultaneous linear equation, it can be calculated that

Xochitl has 8 nickels and 16 dimes

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Let the number of nickel Xochitl has be x and the number of dimes Xochitl has be y

She has a total of 24 nickels and dimes altogether

x  + y = 24 .... (1)

Xochitl has $2 worth of nickels and dimes

0.05x + 0.1y = 2

5x + 10y = 200

x + 2y = 40 ..... (2)

From the graph, it is clear that the two simultaneous linear equation intersects at (8, 16)

So x = 8, y = 16

Xochitl has 8 nickels and 16 dimes

The graph has been attached

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The linear inequality that is represented by the graph is; y ≤ One-halfx + 2

The general form of equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, from the inequality graph attached, we can see that we can calculate the slope from;

m = (y2 - y1)/(x2 - x1)

m = (3 - 2)/(2 - 0)

m = 1/2

We can also see that the y-intercept which is the point where the line crosses the y-axis is; y = 2.

The line is a solid line and not dotted and the shaded part is beneath the line and as such;

The inequality is; y ≤ One-halfx + 2

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Answer:

which grafde are you in and I think ur question is wrong

After solving the linear equation in two variables we get the value of x=13 and y =-24/5

What is linear equation in two variable?

If an equation is written in the form axe + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.

Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalizes the two sides of the equation.

A system of linear equations in two variables can be solved using one of five techniques. These techniques are described below:

2x+5y=2 multiply this equation by 2

we get,

4x+10y=4

And the other equation is :-

5x+10y=17

Subtracting both the equation we get :-

4x+10y=4

5x+10y=17

-    -        -

________

-x =-13

x=13

y=2-26/5

y=-4.8 or -24/5

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x = 36

Step-by-step explanation:

First find the difference of size for the two givens sides on figure A and figure B. On figure A we have the given side 45, and Figure B the given size 27. Subtract the two to get 18. So the difference of scale is 18 for the two figures. So in order to find x just add the 18 to the 18 in figure B, and you get 36.

The surface area of the composite figure is 1856.53cm²(nearest hundredth)

A composite shape can be defines as a shape created with two or more basic shapes. We often refer to composite shapes as compound and complex shapes.

The figure has two shapes; a cylinder and an hemisphere.

Therefore the total surface area of the composite figure = surface area of cylinder + surface area of hemisphere.

The surface area of cylinder= 2πr(r+h)

= 2× 3.14 × 5.5( 5.5+40)= 1571.57cm²

The surface area of hemisphere= 3πr²

= 3×3.14×5.5²

= 284.96cm²

Therefore the surface area of the composite figure is 1571.57cm² + 284.96cm²= 1856.53cm²(nearest hundredth)

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Answer:

Not a function

Step-by-step explanation:

If we use the vertical line test, we can get an answer quite easily. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function.

If we were to move a vertical line across the above graph, it would touch two places, so therefore it is not a function.

Answer:

The tail of a 1-mile long train exits a tunnel exactly 3 minutes after the front of the train entered the tunnel. If the train is moving 60 miles per hour, how long is the tunnel? Hint : How far does the front of the train move in 3 minutes?

Explanation

The front of the train moves 3 miles in 3 minutes. Therefore, the tunnel must be 1 mile long.

Answer:

2 miles long

Step-by-step :

The tail of the train starts one mile from the mouth of the tunnel and it must travel that distance plus the length of the tunnel in 3 minutes.

Let t = tunnel length

t + 1  = distance the tail must travel in 3 minutes.

3 minutes = 1/20 hr

(t+1) miles  /  60 m/hr  = 1/20 hr

t + 1 = 60/20

t+1 = 3

Subtract 1 from each side:

t = 2

The tunnel is 2 miles long.

The y-intercept of function f is 10 The x-intercept of function f is 20 but the y-intercept of function g is -12 but the x-intercept of function g is -3.

The places where a function or equation's graph crosses or "touches" the x-axis of the Cartesian Plane are known as the x-intercepts. This may be compared to a point with a y-value of zero. The locations where a function or equation's graph crosses or "touches" the y-axis of the Cartesian Plane are known as the y-intercepts. This may be compared to a point with a zero x-value.

Given two functions f(x) = -1/2 x + 10 and g(x) = -4x - 12

For function f(x)

Y-intercept of f(x) = -1/2 * 0 + 10 = 10

X-intercept of f(x) =>  -1/2x  + 10 = 0

X-intercept of f(x) => x = 20

For function g(x)

Y-intercept of g(x) = -4*0 - 12 = -12

X-intercept of g(x) =>  -4x -12 = 0

X-intercept of g(x) => x = -3

Therefore, Function f's y-intercept is 10 Function f's x-intercept is 20, but the function g's y-intercept is -12 and its x-intercept is -3.

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Answer:

z = 0.9

Step-by-step explanation:

1/3(6z + 7.2) = 0.5 (8z + 2) - 0.4

Step 1) (2z +2.4)=(4z+1) - 0.4

Step 2) (2z +2.4)=(4z+0.6)

Step 3) 1.8 = 2z

Step 4) 1.8/2 = z

Step 5) 0.9 = z

Answer:

.9

Step-by-step explanation:

it is 0.9 i did this assignment with my teacher

The political hurdles that African American representatives have to face after they went into office is Racism.

Racism is the belief that different groups of humans have different behavioral traits that correspond to inherited characteristics and that they can be divided based on the superiority of one race over another.

Racism stems from the belief that a person is superior to others because of the color of their skin. In the olden days, blacks were excluded from public schools, denied the right to vote, and faced racism and legal discrimination almost everywhere. This is still faces in politics as well.

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Step-by-step explanation:

Call AB side a...which is 7

therefore b+c = 8 (editted this part due toarithmetic slip)

sketch it, use the cosine rule knowing cos 60 = 0.5and set up a simultaneous equation for the sides b+ c

7^2 = b^2+c^2 - bc

then

a + b = 15

(as this 2bcCOSA cancels down)

1. Given

2. Alternate interior angles theorem

3. Given

4. Vertical angles

5. ASA

Answer:

if m/1 +m/5=234°, find m26=

m26 = 234° - (1 + 5)m = 234° - 6m

m26 = 234° - 6(26)

m26 = 234° - 156°

m26 = 78°

The fifth number in the 7853rd row as required to be determined is; 47,116.

It follows from the task content that the fifth number on the 7853rd row of the sequence is to be determined. By observation, each column of the sequence of numbers represents an arithmetic sequence of numbers in which case;

The common difference is; 6 - 0 = 12 - 6 = 17 - 11 = 6.

Therefore, since the nth term of an arithmetic sequence is given by the formula;T (n) = a + (n - 1) d.

where a = does term

n = number of terms

d = common difference

In this scenario, the first term is the fifth number on the first row = 4.Therefore, the fifth number on the 7853rd row is; T (7853) = 4 + (7853 - 1) × 6T = 4 + (7852 × 6)T = 4 + 47,112T = 47, 116.

Therefore, the required number is; 47,116.

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Answer:

hence the number is 24.

Step-by-step explanation:

Two Solutions:

1.10x+y=4(x+y)

2x=y

2.10x+y+18=10y+x

x−y=−2

x−2x=−2

x=2

y=4

two digit number =24

Answer:

10.58

Step-by-step explanation:

Answer:

49/4 π sq feet

Step-by-step explanation:

The circumference is the distance around a circle. The formula for circumference is:

C = πd

d stands for diameter. The circumference was given, 7π.

C = πd

= 7π

The diameter is 7. This is double the radius. The radius is half the circumference, so this radius is 7/2.

The area of the circle is:

Area = πr^2

= π(7/2)^2

= π(49/4)

=49/4 π

The area is 49/4 π

square feet.

Answer:

the answer is

12.25π ft

The inequality represent the number of goals the team must score g ≥ 8.

An inequality show the relationship between two values in an algebraic equations that are probably not equal.

The statement about a game in which various teams are the playing:

It is given that To win that  game, the team must scores at least 8 goals.

The meaning of word at least is that , the team can score either 8 goals or more than the 8 goals.

So, we will write this situation in terms of the inequality as follows:

The value of g will be greater than or equal to 8.

= g ≥ 8.

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Answer: K^15

Step-by-step explanation:

The equation is (k^5)^3

To simplify this, we take the square root of 5-time square root 3 equal square root of 15

So the answer is k^15

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