The graph shows the distance traveled by an Olympic-level sprinter, y, over time during a race, x. Find the slope of the line, and complete the sentences below.

100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.

The slope of the line is
Choose...
. The slope represents

The mirror needs to be at location C.

What is congruency of triangles?

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

When two figures resemble one another in terms of size and shape, this is what mathematics refers to as congruence. In essence, there are four congruence principles that demonstrate if two triangles are congruent. However, locating all six dimensions is essential. As a result, the congruence of triangles can be assessed using just three of the six variables. Congruent triangles have equal comparable sides and angles.

It is given, height of Kiran is 5.8ft and that of Statue of Liberty is 305 ft.

Let the position of the mirror be at C.

Height of Kiran is AB, which is 5.8ft.

Height of Statue of Liberty is ED, which is 305 ft.

Thus, the triangles EDC and ABC are congruent.

The distance from Kiran to the mirror is BC and the distance between mirror to Statue of Liberty is CD.

Attached below is an image for reference.

Hence the mirror needs to be at location C.

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If a researcher wants to predict the value of a dependent variable based upon known independent variables for a specific case, they would use unstandardized partial slopes

Here the researchers wants to predict the value of a dependent variable based upon known independent variables for a specific case.

The dependent variable is variable that affected by other variables and the independent variable is the variables that does not affected by other variables.

The unstandardized partial slopes is defined as the average changes in the y units change in x units, at the same time all other predictor variable held constant

Therefore, they would use unstandardized partial slopes

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a pair of congruent angles are:

3x+4 = (3×12) +4 = 40°

5x - 20 = (5×12) -20 = 40°

The sizes of congruent angles are same. Simply by looking at the specified angles' measurements, congruent angles may be discovered. However, it is not necessary for the terminals used to create these angles to be the same length and direction.

We have been given a different description for each angle.

Let, the number referred to be x

four more than three times a number: 3x + 4

twenty less than five times the number: 5x - 20

So, 5x - 20 =  3x + 4

or, 2x = 24

or, x = 12

The angles are:

3x+4 = (3×12) +4 = 40°

5x - 20 = (5×12) -20 = 40°

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Answer:

B) 8.5, 13.5

Step-by-step explanation:

To find the possible midpoints of line segment DE, we need to first find the coordinates of point E. The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line segment.

To find the coordinates of point E, we can use the given information that D has a coordinate of 11 and that the length of line segment DE is 5. Since the length of line segment DE is 5, the coordinate of E must be either 6 (if E is to the right of D) or -4 (if E is to the left of D). Therefore, the possible coordinates of point E are (6, 11) or (-4, 11).

Next, we can find the coordinates of the midpoint of line segment DE by taking the average of the coordinates of points D and E. If the coordinates of E are (6, 11), then the midpoint of DE is (6 + 11)/2 = 8.5, 13.5. If the coordinates of E are (-4, 11), then the midpoint of DE is (-4 + 11)/2 = 3.5, 11.

Therefore, the possible midpoints of DE are (8.5, 13.5), which correspond to answer B, respectively.

Answer: BLUE

Step-by-step explanation: Basially the world is flat therfore the relative atomic mass of the colour blue is newtons law as a result a blue object is flying at speeds of lihtning therfore that object is blue so the answer is blue.

The slope of the line determined by the points (-3,2) and (2,-2) is -0.8. The slope of a line is a measure of the steepness of the line.

To find the slope of a line given two points, you can use the formula:

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

Plugging in the coordinates of the two points given, we get:

slope = (-2 - 2) / (2 - (-3))

= -4 / 5

= -0.8

So, the slope of the line determined by the points (-3,2) and (2,-2) is -0.8.

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The greatest common divisor is 12. The linear combination of 3984 and 588 is given by 12 = 61×588 - 9×3984.

The extended Euclidean algorithm is an algorithm to compute integers x and y such that: ax+by=gcd(a,b)The extended Euclidean algorithm can be viewed as the reciprocal of modular exponentiation.

By reversing the steps in the Euclidean algorithm, it is possible to find these integers x and y. The whole idea is to start with the GCD and recursively work our way backwards. This can be done by treating the numbers as variables until we end up with an expression that is a linear combination of our initial numbers.

First use Euclid's algorithm to find the GCD:

3984 = 588 ×6 + 456

588 = 456×1 +132

456= 132 ×3 + 60

132 =  60×2 +12

60 = 12×5+0

The last non-zero remainder is 12.

Thus, the greatest common divisor is 12.

Now we use the extended algorithm:

12 = 132 +(-2)×60

    = 132 + (-2)×(456 + (-3)×132))

    = (-2)×456 + 7×132

    = (-2)×456 + 7×(588 +(-1)×456))

   = 7×588 + (-9)×(3984 +(-6)×588))

   = 61×588 + (-9)×3984

Thus, a = -9 and b = 61.

Thus, the linear combination of 3984 and 588 is given by 12 = 61×588 - 9×3984.

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Answer:

y = - 0.4x -6

Step-by-step explanation:

The slope-intercept form of a line equation is

y = mx + b

where m is the slope and b the y-intercept where the line crosses the y axis.

From the figure it is clear that the line passes through (0, -6) and therefore the y-intercept is -6

To compute the slope, find another  convenient point on the line. Compute the ratio of change in y values(called rise) to the change in x values(called run). This will be the slope

We see that point (10, -10) has been identified on the graph.(Any of the 4 identified points will do, I just chose this)

So two points to consider are (0, -6) and (10, -10)

Change in y values = rise = -10 - (-6) = 1- + 6 = -4

Change in x values = run = 10 - 0 = 10

So slope m = -4/10 = -0.4

Equation of line is y = -0.4x -6

Answer: -433.15

Step-by-step explanation:

he's id debt and has to pay off the 433.15 later on.

Answer:

The McQuires' account is currently overdrawn by $483.15.

Step-by-step explanation:

If the McQuires' account balance was $750 on Friday and they wrote a check for $1,183.15 on Saturday, then the balance would be 750 - 1,183.15 = -$433.15 after the check cleared. Since the bank charges a $50 overdraft fee, the final balance in the McQuires' account would be -$433.15 - $50 = -$483.15. The McQuires' account is currently overdrawn by $483.15.

The time management skill and amount of work done is an example of positive correlation.

Correlation or dependency pertains to any statistical link involving two random variables or bivariate data, whether causal or not. Although the term "correlation" can refer to any form of link, in statistics it is most usually used to refer to the degree to which two variables are statistically linearly associated.

The link between the heights of parents and their children, as seen in the enough that demand curve, and the correlation between the price of an item and the quantity of items that buyers are willing to acquire are examples of dependent phenomena.

The Pearson product-moment correlation coefficient (PPMCC), sometimes known as "Pearson's correlation coefficient," is the most commonly used measure of two-value dependency.

It is computed by dividing the covariance ratio of the two variables in our numerical dataset by the square root of their variances. The covariance of the two variables is simply divided by the product of their standard deviations in mathematics. The coefficient was calculated by Karl Pearson from Francis Galton's similar but slightly different idea.

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Answer:

  y = 2x³-6x²-2x +6

Step-by-step explanation:

You want the equation of a graph with two turning points, and x-intercepts at -1, +1, and +3. The y-intercept is 6.

Each x-intercept of x=p means the equation has a factor of (x -p). This means the factored equation will be ...

  y = a(x +1)(x -1)(x -3) = a(x² -1)(x -3) = a(x³ -3x² -x +3)

The y-intercept is 3a = 6, so a = 2 and the function is ...

  y = 2x³ -6x² -2x +6

Answer:

Step-by-step explanation:

Using the completing square method, the value of (C) x = ±√5 - 2.

A quadratic polynomial of the form ax2+bx+c can be transformed to the form in elementary algebra by using the "completing the square" method for certain values of h and k.

In other words, the quadratic expression is completed by inserting a perfect square trinomial.

So, we have:

x² + 4x = 1

The x-coefficient terms must be divided by two:

4/2 = 2

Square:
2² = 4

Add 4 on both sides as follows:

x² + 4x + 4 = 1 + 4

x² + 4x + 4 = 5

Transform into perfect squares:

(x + 2)² = 5

Both sides of the square root:

x + 2 = ±√5

x = ±√5 - 2

Therefore, using the completing the square method, the value of (C) x=±√5-2.

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Complete question:
Solve x2 + 4x = 1 for x by completing the square.

a. x = −3

b. x = −1

c. x equals plus or minus the square root of 5 minus 2

d. x equals plus or minus square root of 5 plus 2

Answer:

is c correct?

Step-by-step explanation:

Answer:

$19.56

Step-by-step explanation:

$4.89 per pound times the number of pounds to be purchased (4).

so 4(4.89)=19.56

The measure of the central angle in degrees subtended by an arc of length 5 meter is 71.61 degrees

The radius of the circle = 4 meters

The circumference of the circle = 2πr

Where r is the radius of the circle

The value of π = 3.14

The circumference of the circle = 2π × 4

= 8π

The arc length = 5 meters

Consider the x as the central angle

The proportion of central angle and circumference will be

5/8π = x radiance / 2π

Cross multiply the terms

x × 8π = 5 × 2π

x = 10π / 8π

x = 5/4 radiance

Convert radiance to degrees

We know

1 radiance = 180/π degrees

5/4 radiance = 5/4 × 180/π degrees

= 71.61 degrees

Therefore, the central angle is 71.61 degrees

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Answer:

The answer is 28d + 36.

The values of z in the regular polygon  is 21.

A regular polygon is a polygon with congruent sides and equal angles.

To calculate the value of z in the regular polygon, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for z

Hence, the values of z is 21.

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Answer:

Billy has 295, maria has 360 we can do this by doing 20 x 14 then add 15 = 295 then for maria 25 x 14 then add 10. Maria made more. Billy will have less

OR

less

billy = 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 = 295

maria = 10, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25 = 360

 maria earned more than billy

The value of the fraction, negative 5 and 1 over 7 ÷ negative 7 and 3 over 4 is 144/217

A fraction can be described as the part of a whole element or value.

The different types of fractions are;

Examples of proper fractions; 2/4, 5/6, 7/9

Examples of improper fractions; 4/2, 3/2, 6/5

Examples of mixed fractions; 2 1/4, 4 6/7, 8 1/2

Examples of simple fractions; 1/ 3, 3/4, 1/2

Now, from the information given, we have;

Convert into improper fractions

-36/7 ÷ -31/4

take inverse of the divisor and multiply

-36/ 7 × 4/-31

-144/-217

144/217

Hence, the value is 144/217

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The opposite number of 2/3 is given as follows:

-2/3.

The opposite of a number is the number that is the same distance from zero as the number, however, on the other side of the line.

The number in this problem is given as follows:

2/3.

Which also has an absolute value of 2/3, meaning that it is 2/3 units away from the origin.

On the opposite side, the number that is also 2/3 units away from the origin is given as follows:

0 - 2/3 = -2/3.

Meaning that the number -2/3 is the opposite number to the number 2/3 given in this problem.

(it could be obtained also just changing the signal of the number, as the opposite of a number is the number with the signal exchanged);

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The given statement ,the analysis of total variability into between-treatments and within-treatments variability is the same for a repeated-measures ANOVA and an independent-measure ANOVA is true.

The first stage of the repeated-measures ANOVA is identical to the independent-measures analysis and splits the overall variability into two components: between-treatments and within-treatments

Measurements that are repeated ANOVA is the extension of the dependent t-test and is the equivalent of one-way ANOVA for related, rather than independent, groups.

A repeated measures ANOVA is often referred to as a within-subjects ANOVA or ANOVA for correlated samples. The term "responsibility" refers to the act of determining whether or not a person is responsible for his or her own actions.

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The equation of the parabola is f(x)= 7x²+5x-2 when values of the x are -3,0,2 and the f(x) are -8,-2,-28.

Given that,

The values of the x are -3,0,2 and the f(x) are -8,-2,-28

We have to find the equation of the parabola with the x and f(x) values.

We know that,

The equation of the parabola of the form f(x) = ax²+bx+c

So,

-3a-3b+c=-8 ----->equation(1)

c=-2

2a+2b+c=-28 ------>equation(2)

Substituting c=-2 in equation(1) and equation(2)

-3a-3b-1+8=0

-3a-3b+7=0 ------>equation(3)

2a+2b-2+28=0

2a+2b+26=0 ------>equation(4)

Subtracting 2×equation(3) and 3×equation(4)

                               b=5

Substituting in equation(1)

a=7

Therefore, The equation of the parabola is f(x)= 7x²+5x-2 when values of the x are -3,0,2 and the f(x) are -8,-2,-28.

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The value of BC = 25 using properties of triangle.

What are properties of triangle ?

Let us discuss here some of the properties of triangles.

1. A triangle has three sides and three angles.

2. The sum of the angles of a triangle is always 180 degrees.

3. The exterior angles of a triangle always add up to 360 degrees.

4. The sum of consecutive interior and exterior angle is supplementary.

Properties for isosceles:

Isosceles triangles are those triangles that have at least two sides of equal measure.

1. Two equal sides and two equal angles.

2. The two equal sides of an isosceles triangle are called the legs and the angle between them is called the vertex angle or apex angle.

3. The side opposite the vertex angle is called the base and base angles are equal.

Using 1st property,

in given triangle two angles are equal then opposite side will also be equal.

So, AB = AC

i.e. 4x+4 = 6x-14

4+14 = 6x-4x

18 = 2x

x = 9

Putting value of x in BC

BC = 2*9 +7

     = 18+7

     = 25.

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The rate of change of the line that contains the two points (-1, -4) and (5, 4) is 4/3.

The rate of change for a line is the slope, the rise over run, or the change in over the change in.

The slope of line can be calculated using the formula, slope =(y2-y1)/(x2-x1).

The given coordinate points are (-1, -4) and (5, 4).

Now, slope = (4-(-4))/(5-(-1))

= (4+4)/(5+1)

= 8/6

= 4/3

Therefore, the slope of a line is 4/3.

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The value of z such that 7% of the area under the standard normal curve lies to the right of z is approximately -0.4

To find the value of z such that 7% of the area under the curve lies to the right of z, we need to find the value of z such that 43% of the area lies to the left of z.

This value of z is known as the 43rd percentile of the standard normal curve.

We can use a table of the standard normal distribution, also known as the z-table, to find the value of z corresponding to the 43rd percentile.

According to the z-table, the value of z corresponding to the 43rd percentile is approximately -0.4

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The area of the shaded region - [tex]\int\limits^\frac{5\pi }{4} _\frac{3\pi }{4}[/tex] [tex]cos^{2}[/tex] 2θ dθ

Determine α, β and f(θ).

To determine α and β, imagine a clock dial that turns counter-clockwise around the origin. The shaded area must be passed over by the dial. Place the dial in its starting position, and find the angle it makes with the horizontal axis, this angle is α. Do the same for the dial's end position, this angle [tex]\beta[/tex] .

To find f(θ), this equals r.

     α= [tex]\frac{3\pi }{4}[/tex]

      β= [tex]\frac{5\pi }{4}[/tex]

​     f(θ)=r=cos2θ

we know the integration formula,

A = [tex]\int\limits^\alpha _\beta[/tex] f (θ )² dθ

Hence, the area of the shaded region:

A =    [tex]\int\limits^\frac{5\pi }{4} _\frac{3\pi} {4} \,[/tex]  [tex]cos^{2}[/tex] 2θ dθ

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Sorry I would help but I don't understand and can't translate for some reason (so sorry)

A number line is plotted below:

A number line, used to represent the real numbers visually in early mathematics, is a drawing of a graduated straight line. It is presumptively true that each real number and each point on a number line relate to one another. A line with carefully marked, equally spaced-out points on it is frequently used to represent integers. Despite the fact that the image only displays the integers from -3 to 3, the line contains all real numbers, going on forever in both directions, as well as numbers that fall in between the integers. Especially when negative numbers are involved, it is frequently used as a teaching tool for basic addition and subtraction.

The number line is properly known as the real number line in advanced mathematics and can also be referred to as a real line.

A number line is plotted below:

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Answer:

Step-by-step explanation:

When graphed they intersect at (2, 5)

Answer:

add one black and one white marble

Step-by-step explanation:

you have to make bag b equivalent to a 2:3 ratio.

add 1 to 5 to make it divisible by 2

divide 6 by 2

=3

multiply 3 by 3 to get a 2:3 ratio

=9

subtract initial marbles

9-8=1