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3 years ago

Find the slope of ther line that goes through the points (-9,-4) and (-3,-6)

Mathematics

1 answer:

sleet_krkn [62]3 years ago

5 0

Answer:

slope = - $\frac{1}{3}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 9, - 4) and (x₂, y₂ ) = (- 3, - 6)

m = $\frac{-6+4}{-3+9}$ = $\frac{-2}{6}$ = - $\frac{1}{3}$

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Sanford the elf has been asked to choose toys for a child who wants a baby doll, a jigsaw puzzle, and a stuffed dog. He looks on

zmey [24]

Answer: There are 198 different combinations.

Step-by-step explanation:

To solve this type of problem, first, we need to identify the selections.

We have 3 selections.

Baby doll, Jigsaw puzzle, and a stuffed dog.

Now, we need to count the numbers of options for each case:

Baby doll: 11 options.

Jigsaw Puzzle: 6 options.

Stuffed dog: 3 options.

To find the total number of different combinations, we need to multiply all the numbers of options together, this is:

Combinations = 11*6*3 = 198

There are 198 different combinations.

5 0

2 years ago

a system of equations is graphed here. which system of equations does the graph represent? A) y = 3x + 2y = -2x + 5 B) y = 3x -

n200080 [17]

Notice that the line with negative slope has a y-intercept of 5 and the line with positive slope has a y-intercept of 2.

On the other hand, the slope of the line with negative slope is -2, while the slope of the line with positive slope is 3 (This can be identified since in one case, the value of y decreases by 2 for each increase of 1 unit in x, and in the other, the value of y increases by 3 for each increase of 1 unit in x).

Using the y-intercept form to represent each line, the system of equations represented by the graph must be equivalent to:

$\begin{gathered} y=-2x+5 \\ y=3x+2 \end{gathered}$

From the given options, the one that displays the correct system of equations is option A.

Therefore, the answer is:

$\begin{gathered} A) \\ y=3x+2 \\ y=-2x+5 \end{gathered}$

6 0

10 months ago

A circle with the equation (x + 6)2 + (y + 3)2 = 16 is reflected over the line x = 2.

fomenos

Answer: $(x-10)^{2}+(y+3)^{2}=16$

Step-by-step explanation:

We know the center of the original circle is (-6, -3). After reflecting this over the line x=2, the new center is now (10, -3).

Thus, the equation of the circle is $(x-10)^{2}+(y+3)^{2}=16$ .

6 0

1 year ago

At the school the ratio of boys to girls is 5:3 if there are 385 boys in the school, how many students are there altogether?

ser-zykov [4K]

Answer:

There are 616 total students

Step-by-step explanation:

boys : girls: total

5 3 5+3 = 8

There are 385 boys

385/5 = 77

Multiply each term by 77

boys : girls: total

5*77 3*77 8*77

385 539 616

There are 616 total students

6 0

2 years ago

Read 2 more answers

What is the 13 term of the geometric sequence whit this explicit formula an=3•(-2)(n-1)

Orlov [11]

Answer:

12,288

Step-by-step explanation:

aₙ = 3 (-2)ⁿ⁻¹

a₁₃ = 3 (-2)¹³⁻¹

a₁₃ = 12,288

3 0

2 years ago