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3 years ago

Find the slope of the line passing through the points (-2, 9) and (-10, 33).

1 answer:

8 0

Slope = rise / run = Δy / Δx = (y2 - y1) / (x2 - x1) = [33 - 9] / [ (-10 - (-2)]

Slope = 24 / ( -8) = - 3

Answer: - 3

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Estimate the perimeter of the figure to the nearest whole number.

Paha777 [63]

Answer:

The perimeter (to the nearest integer) is 9.

Step-by-step explanation:

The upper half of this figure is a triangle with height 3 and base 6. If we divide this vertically we get two congruent triangles of height 3 and base 3. Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles: (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.

Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.

The lower half of the figure has the shape of a trapezoid. Its base is 4. Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle. Using the Pythagorean Theorem, we get

(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10. Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.

Then the perimeter consists of the sum 2√10 + 4 + 6√2.

which, when done on a calculator, comes to 9.48. We must round this off to the nearest whole number, obtaining the final result 9.

4 0

3 years ago

WILL GIVE BRAINLIEST

Alja [10]

A. The pair of linear equations are: x + y = 55 and y = x + 25

B. Number of time she spend running everyday is: 15 minutes.

C. It is not possible.

<h3>How to Write a System of Linear Equations?</h3>

A system of equations consist of linear equations that have unknown variables whose values make the linear equations in the system true.

<u>Part A:</u> To write a pair of linear equations, do the following,

Let x represent the time Jackie runs

Let y represent the time Jackie dances

We are given that, Jackie runs and dances for a total of 55 minutes every day, therefore, the first linear equation would be:

x + y = 55 --> equation 1

We are also given that Jackie dances for 25 minutes longer than she runs, therefore, the second linear equation would be:

y = x + 25 --> equation 2

Therefore, the two pair of linear equations that shows the relationship between the number of minutes Jackie runs and dances everyday are:

x + y = 55

y = x + 25

Part B: Substitute y = (x + 25) into equation 1

x + y = 55 --> equation 1

x + x + 25 = 55

2x + 25 = 55

2x = 55 - 25

2x = 30

x = 15

Therefore, the number of time she spend running everyday is: 15 minutes.

Part C:

If she spent 45 minutes dancing (y = 45), and x = 15, substitute the values into x + y = 55 to find out if it is possible.

15 + 45 = 55

60 = 55 (not true)

Therefore, it is not possible.

Learn more about the system of equations on:

brainly.com/question/13729904

#SPJ1

8 0

2 years ago

Please answer this correctly

atroni [7]

Answer:

1/7

Step-by-step explanation:

The probability of picking an even number is 3/7.

Without putting the first card back, the probability of picking an even number again is 2/6.

$3/7 \times 2/6$

$= 6/42$

$=1/7$

7 0

3 years ago

peter buys 12 bunches of bannas for 9.00. use a ratio table to determine how much peter will pay for 8 bunches.

erik [133]

We are given that Peter buys 12 bunches of bananas for 9.00.

We need to determine how much peter will pay for 8 bunches.

Let us set up proportion now.

12 bunches of bananas for 9.00 = 12 : 9

Let us assume Peter will pay for 8 bunches = $x.

Therefore, 8 bunches of bananas for x = 8 : x.

<h3>Setting up proportion:</h3><h3> $\frac{12}{9} = \frac{8}{x}$ </h3>

On cross-multiplying, we get

12x = 9×8

12x = 72.

Dividing both sides by 12, we get

$\frac{12x}{12} =\frac{72}{12}$

x=6.

<h3>Therefore, Peter will pay $6 for 8 bunches.</h3>

6 0

3 years ago

Plssssss HELP ASAPPPPP

Anika [276]

Answer:

The formula for an exponential decay problem is: y = x (1 - r)^x

Where x = initial amount, r = rate of decay and x = # time periods

So, x = $258, r = 8% = .08 and x = 11 years

y = 258 (1 - 0.08)^11 = 258 (0.92)^11 = 258 * 0.3996 = $103.10

Step-by-step explanation:

3 0

3 years ago