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3 years ago

Slope of (5,1) and (2,7)

Mathematics

2 answers:

Iteru [2.4K]3 years ago

4 0

Answer:

-2

Step-by-step explanation:

Slope formula:

↓

$\frac{Y_2-Y_1}{X_2-X_1}=\frac{Rise}{Run}$

$Y_2=7\\Y_1=1\\X_2=2\\X_1=5\\$

$\frac{7-1}{2-5}=\frac{6}{-3}=\frac{6\div-3}{-3\div-3}=\frac{-2}{1}=-2$

Therfore the slope is -2.

-2 is the correct answer.

I hope this helps you, and have a wonderful day!

konstantin123 [22]3 years ago

4 0

Answer:

The slope is -2

Step-by-step explanation:

(7 - 1)/(2 - 5) = 6/(-3) = -2

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Whats the square root of pie, and where do i get it

umka2103 [35]

It’s 1.772345385091.

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3 years ago

Solve for p. Show your work!!

Harrizon [31]

Answer:

8p+7p+90 =180 (sum of three angles of triangles)

15p= 180-90

15p=90

p=90/15

p= 6

Step-by-step explanation:

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3 years ago

Read 2 more answers

An equation of an ellipse is given. x2 16 + y2 25 = 1 (a) Find the vertices, foci, and eccentricity of the ellipse. vertex (x, y

eimsori [14]

Answer:

(a)

The vertices are at (0,-5) and (0,5).
The coordinates of the foci are (0,-3) and (0,3).
Eccentricity=3/5

(b)Length of the major axis=10

Step-by-step explanation:

When the major axis of an ellipse is parallel to the y-axis.The standard form of the equation of an ellipse is given as:

$\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1$

Given the equation:

$\dfrac{x^2}{16}+\dfrac{y^2}{25}=1$

(I)The coordinates of the vertices are $(0, \pm a)$

$a^2=25\\a^2=5^2\\a=5$

Therefore, the vertices are at (0,-5) and (0,5).

(II)The coordinates of the foci are $(0, \pm c)$ where c^2=a^2-b^2$

$c^2=a^2-b^2\\c^2=25-16\\c^2=9\\c=3$

The coordinates of the foci are (0,-3) and (0,3).

(III)Eccentricity

This is the ratio of the distance c between the center of the ellipse and each focus to the length of the semi major axis.

Simply put, Eccentricity =c/a

Eccentricity=3/5

(b)Length of the major axis

The length of the major axis=2a

=2(5)=10.

4 0

3 years ago

Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18

gavmur [86]

Answer:

The weight of cat is 14 pounds and the weight of kitten is 4 pounds.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be $x.$

And the kitten weight = $\frac{x}{2} -3$

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

$(x)+(\frac{x}{2}-3)=18$

$x+\frac{x}{2} -3=18$

$\frac{2x+x-6}{2} =18$

$\frac{3x-6}{2} =18$

Multiplying both sides by 2 we get:

$3x-6=36$

Adding both sides by 6 we get:

$3x=42$

Dividing both sides by 3 we get:

$x=14\ pounds.$

The weight of cat = 14 pounds.

Substituting the value of $x$ to get the kitten's weight:

$\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.$

The kitten's weight = 4 pounds.

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

7 0

3 years ago

Help asap, with good explaination please

Verizon [17]

Answer:

60 cubes

Step-by-step explanation:

10 times 6

6 are in each layer but there are 12 going down layer by layer

so 10 times 6 equal 60

the actuall answer is 60

= 60

7 0

3 years ago