A line goes through the points (8,9) and (2,4).

What is the slope of the line?

Write the equation of the line in point-slope form?

Write the equation of the line in slope-intercept form?

Answer:

c 268

Step-by-step explanation:

i did the test on the home school time for learning

Final answer:

The side length of a square with the same perimeter as an equilateral triangle with side 7 cm is 5.25 cm.

Explanation:

To find the side length of a square with the same perimeter as an equilateral triangle with sides of 7 cm, first calculate the perimeter of the triangle, which is 7 cm x 3 = 21 cm. Since a square has four equal sides, divide the perimeter by 4 to get the side length of the square. Thus, the side length would be 21 cm ÷ 4 = 5.25 cm.

Answer:

Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.

Step-by-step explanation:

A scuba diver used the expression below to describe his position in relation to sea level.

2 + (–20) + 8

positive number is the feet above the sea level

negative number is the feet below the sea level (deep)

starting at 2 , 2 feet above sea level then down the sea 20 feet down,

finally rise 8 feet above the sea level

So, Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.

Answer:

The additive identity postulate

Step-by-step explanation:

6 + 0 = 6

Any number added with zero, we get the same number.

That is, a + 0 = a, where "a" is any real number.

Let's take a = 9, we get

9 + 0 = 9

Let's check out a few more examples:

-9 + 0 = -9

2/3 + 0 = 2/3

22 + 0 = 22

You can see any number added with 0, we get the same number.

Here 0 is additive identity, this is called additive identity postulate.

We are given 6 + 0 = 6 which illustrated by "The additive identity postulate."

Therefore, answer is "The additive identity postulate"

Answer:

Find the radius of a circle if a central angle of 3π/2 intercepts an arc of 26.4 centimeters.

Ans: 5.6 cm

Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.

Ans: 5 rad

Find the arc length intercepted by a central angle of 3π/4 radians in a circle whose radius is 18.4 inches.

Ans: 13.8π

The slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

The function graphed shows the total cost for a taxi cab ride for x miles the cost in taxi is shown in y axis and the distance covered by taxi in x axis. Now, to find put the slope we must two coordinates which can be found out from the graph easy by observation as (0,3) and (2,8).

How using slope formula to find the slope of line :

[tex]\begin{aligned}\frac{y_{2}-y_{1}}{x_{2}-x_{1}}&=\frac{8-3}{2-0}\\&=\frac{5}{2}\\&=2.5\end{aligned}[/tex]

It represents the cost of taxi per mile of distance travelled.

Therefore, the slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.

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The given point (−7,1) is a solution to the inequality.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We must determine if the inequality holds for a certain set of ordered pairs in order to determine which ordered pairs constitute the answer to the inequality.

We have been given inequality is:

⇒ y < 0.5x + 9

To determine the point (−7,1) a solution to the inequality

Substitute x = -7 and y = 1 in the inequality, we get

⇒ y < 0.5x + 9

⇒ 1 < 0.5(-7) + 9

⇒ 1 <  -3.5 + 9

Apply the subtraction operation in the above inequality, we get

⇒ 1 < 5.5

This is true.

Hence, the given point (−7,1) is a solution to the inequality.

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Answer:

In Point Form: (x,y,z)= (3,6,-1)

In Equation Form: x=3, y=6, z=-1

Step-by-step explanation:

1) Solve for x

           2x+2z=4 (Subtract 2z from both sides)

           -2z  -2z

           2x= 4-2z  (Divide 2 from both sides)

           /2      /2

           x=2-z

2) Substitute 2-z for x in

                       -x-y-z=-8

                       -(2-z)-y-z=-8

                       -2+z-y-z=-8  (Combine Like Terms)

                       -2-y=-8 (Add 2 to both sides)

                       +2     +2

                       -y=-6  (Divide -1 from both sides)

                       /-1   /-1

                       y=6

3) Substitute 2-z for x & 6 for y in

                          -4x+4y+5z+=7

                          -4(2-z)+4(6)+5z=7  (Get rid of parentheses)

                          -8+4z+24+5z=7   (Combine Like Terms)

                          9z+16=7  (Subtract 16 from both sides)

                               -16  -16

                          9z+=-9  (Divide 9 from both sides)

                          /9     /9

                          z=-1

4) Now find x by substituting -1 for z in

                                          x=2-z

                                          x=2-(-1)  

                                          x=2+1

                                          x=3  

Therefore the answer is:

In Point Form: (x,y,z)= (3,6,-1)

In Equation Form: x=3, y=6, z=-1

In a multiplication table, each number from 1 to 12 would appear 12 times corresponding to each multiplier. In a table specific for a single number, that number would repeat 12 times.

The question is asking about a number that appears 7 times in a multiplication table. In a multiplication table, numbers 1 through 12 are repeated 12 times, once for each multiplier. However, in a multiplication table between 1 and 10, the number 1 appears multiple times as it is a factor for every other number. As an exception, if we have a multiplication table that is specific to a certain number, for example, the number 7, then number 7 would appear 12 times as it is the constant multiplier for each number in the table.

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Final answer:

The equation of the line that passes through the point (0, -3) and is parallel to another line with a slope of 1.2 is y = 1.2x - 3.

Explanation:

To find an equation for a line that passes through the point (0, –3) and is parallel to another line with a slope of 1.2, we use the fact that parallel lines have the same slope. Since a line's equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept, and we already know the slope (m = 1.2) and the y-intercept (b = -3, since the line passes through (0, -3)), our equation becomes:

y = 1.2x - 3

This means that any line parallel to one with a slope of 1.2 and passing through (0, -3) will also have a slope of 1.2, but the y-intercept will be unique to the point it passes through.

Answer:

Step-by-step explanation:

Answer:  The correct option is

(c) (-1, 0).

Step-by-step explanation:  We are given to solve the following system of equations :

[tex]p-3q=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-5p+16q=5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

From equation (i), we have

[tex]p-3q=-1\\\\\Rightarrow p=3q-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

Substituting the value of p from equation (iii) in equation (ii), we get

[tex]-5(3q-1)+16q=5\\\\\Rightarrow -15q+5+16q=5\\\\\Rightarrow q=5-5\\\\\Rightarrow q=0.[/tex]

From equation (i), we get

[tex]p=3\times0-1=-1.[/tex]

Thus, the required solution is (p, q) = (-1, 0).

Option (c) is CORRECT.

Answer:

the answer is 31.6 on PLATO

The function equivalent to f(x) = 5(1.9)3x is f(x) = 5(6.86)x.

The function equivalent to f(x) = 5(1.9)3x is f(x) = 5(6.86)x.

Answer:

rational zero

Step-by-step explanation:

To determine the system of two inequalities which is represented by the graph, you have to do such steps:

1 step. The dashed blue line represents sign > or <. The line has the equation y=2x, then the inequality should be y>2x or y<2x. Since point (-1,1) belongs to the blue shaded region, then the inequallity y>2x is true.

2 step. The solid red line represents sign ≤ or ≥. The line has the equation x+2y=-8, then the inequality should be x+2y≤-8 or x+2y≥-8. Since the origin  (0,0) doesn't belong to the red shaded region, then the inequallity x+2y≤-8 is true.

Thus, the system is

[tex]\left\{\begin{array}{l}y>2x\\x+2y\le-8.\end{array}\right.[/tex]

Answer: correct choice is A.