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2 years ago

A proportional relationship is shown in the table below: what is the slope and what numbers do i graph. ty besties

Mathematics

1 answer:

dangina [55]2 years ago

5 0

Answer:

The slope of the line is $m = \frac{3}{5}$ and the equation of the line is $y = \frac{3}{5}\cdot x$ .

Step-by-step explanation:

From table we understand that slope of the line is constant, that is, for each change of $x$ there is one and only change in $y$ , fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:

$m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}$ (1)

Where:

$x_{o}, x_{f}$ - Initial and final x-coordinates of the line.

$y_{o}, y_{f}$ - Initial and final y-coordinates of the line.

If we know that $(x_{o}, y_{o}) = (0,0)$ and $(x_{f},y_{f}) = (8,4.8)$ , then the slope of the line is:

$m = \frac{4.8-0}{8-0}$

$m = \frac{3}{5}$

From graph we conclude that x-intercept of the line is $b = 0$ . Hence, the equation of the line is $y = \frac{3}{5}\cdot x$ and we proceed to plot the expression with the help of a graphing tool.

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Draw a number line and mark all described points. 2x<6

antiseptic1488 [7]

All you have to do is draw a line on all the posible numbers that can be x makes sure to draw a arrow at the end of the number line. Either that or draw grapshs a dot on every number less then 3. sorry if its worng :)

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2 years ago

20 POINTS!!!!

gregori [183]

Answer:

135 ft^2

Step-by-step explanation:

7yd = 7*3 feet = 21 feet

$area \: of \: trapezoid \\ = \frac{1}{2} (15 + 21) \times 7.5 \\ = \frac{1}{2} \times 36 \times 7.5 \\ = 18 \times 7.5 \\ = 135 {feet}^{2}$

4 0

2 years ago

Read 2 more answers

1. The midpoint of the segment joining points (a, b) and ( j, k) is: a. (j-a,k-b) b. ((j-a)/2,(k-b)/2) c. (j+a,k+b) d. ((j+a)/2,

harkovskaia [24]

1. The midpoint of the segment joining points (a, b) and ( j, k) is ((j+a)/2,(k+b)/2)

2. Let the coordinate of H be (a, b)
T(0, 4) = ((a + 0)/2, (b + 2)/2)
(a + 0)/2 = 0 => a + 0 = 0 => a = 0
(b + 2)/2 = 4 => b + 2 = (2 x 4) = 8 => b = 8 - 2 = 6
Therefore, the cordinate of H is (0, 6)

3. Point (-4, 3) lies in Quadrant II

4. Point (6, 0) lies on the x-axis

5. Any line with no slope is parallel to the y-axis

7. a is the value of the x-coordinate.
5a + 3 = 8
5a = 8 - 3 = 5
a = 5/5 = 1
a = 1

8. Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
For the given circle (x + 5)^2 + (y - 7)^2 = 36 => (x - (-5))^2 + (y - 7)^2 = 6^2 => a = -5 and b = 7.
Therefore, its center point is (-5, 7)

9. Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
For the given circle (x + 5)^2 + (y - 7)^2 = 36 => (x - (-5))^2 + (y - 7)^2 = 6^2 => r = 6.
Therefore, its radius is 6

10. If the equation of a circle is (x - 2)^2 + (y - 6)^2 = 4, the center is point (2, 6).
True

7 0

3 years ago

Read 2 more answers

Mr. Sánchez owns a square field. The side lengths are 0.9 kilometers. There are 1,980 prairie dog burrows in the fields. What is

Simora [160]

The first thing we are going to do is find the area of the field. To do this we are going to use the area of a square formula: $A=s^2$
Were
$A$ is the area in square kilometers
$s$ is one of the sides of the square
We know for our problem that the side lengths of the field are 0.9 kilometers, so $s=0.9$ . Lets replace that value in our formula to find $A$ :
$A=(0.9)^2$
$A=0.81$

Now, to find the population density of the filed, we are going to use the population density formula: $P_{d}= \frac{I}{A}$
where
$P_{d}$ is the population density in <span>in burrows per square kilometer
</span> $I$ is the number of burrows
$A$ is the are of the field
We know that $I=1980$ and $A=0.81$ , so lets replace those values in our formula:
$P_{d}= \frac{1980}{0.81}$
$P_{d}=2444.4$

We can conclude that the <span>density of prairie dog burrows is approximately 2444 burrws per square kilometer.</span>

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2 years ago

store A offers successive discounts of 10% one week and 20% the second week. store B offers a one-time discount of 25% the secon

11111nata11111 [884]

The store which offers the greater discount is store B.

<h3>Discount</h3>

Store A:

First week = 10%

= 10/100

= 0.1

Second week = 20%

= 20/100

= 0.2

Total discount = (0.1 + 0.2) / 2

= 0.15

Store B:

25%

= 25/100

= 0.25

Therefore, the store which offers the greater discount is store B.

Learn more about discount:

brainly.com/question/7459025

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7 0

1 year ago