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3 years ago

Given the two points (-1, 6) and (3, -2), write an equation in point-slope form.

Mathematics

2 answers:

abruzzese [7]3 years ago

8 0

Answer:

y-6 = -2(x+1)

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

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

= (-2-6)/(3+1)

= -8/4

= -2

Then we can point slope form where

y -y1 = m(x-x1)

where m is the slope and x1,y1 is a point

y-6 = -2(x--1)

y-6 = -2(x+1)

Zinaida [17]3 years ago

8 0

Answer:

y - 6 = -2(x + 1)

Step-by-step explanation:

Slope: (-2-6)/(3--1)

= -8/4

= -2

y - 6 = -2(x - -1)

y - 6 = -2(x + 1)

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Which of the following statements justifies why the triangle shown below is

LenKa [72]

Answer:

A) 6^2 + 11^2 is not equal to 15^2

Step-by-step explanation:

To find out if a right triangle is a right triangle you have to use the Pythagorean Theorem, like it is used in A.

6^2 + 11^2 = 15^2

36 + 121 = 225

157 does not equal 225

So this is not a right triangle

4 0

3 years ago

Read 2 more answers

On April 1, Preston McCord deposited $1,400 in a savings account that pays annual interest of 3.2%

lesya692 [45]

Answer:

After 6 months, the interest generated by the investment would be $21.10.

Step-by-step explanation:

To determine the interest that Preston McCord could earn by investing $ 1,400 in an account that pays 3.2% annual interest compounded monthly, leaving said money invested for a period of 6 months, it is necessary to perform the following calculation:

X = 1,400 x (1 + 0.032 / 6) ^ 0.5x6

X = 1,421.10

1421.10 - 1400 = 21.10

Thus, after 6 months, the interest generated by the account will be $ 21.10.

4 0

3 years ago

Can someone please help me with 2 and explain the steps to 3 thanks!

Gelneren [198K]

Answer:

#2 is a ratio so you gotta add.

#3 it’s just adding it for example 2p + 5a = 7pa

7 0

3 years ago

Stephanie has an aquarium that is in the shape of a right rectangular prism, 50 centimetres long, 25 centimetres wide and 30 cen

Bess [88]

To solve this, we are going to use the volume formula for a rectangular prism: $V=lwh$
where
$V$ is the volume of the prism
$l$ is the length of the prism
$w$ is the width of the prism
$h$ is the height of the prism

We are also using the volume of a sphere formula: $V= \frac{4}{3} \pi r^{3}$
where
$V$ is the volume of the sphere
$r$ is the radius of the sphere

Part A: Since she wants a layer of marbles in the bottom of the tank about 5 centimeters deep, the height of this little rectangular prism will be 5 centimeters, so $h=5$ . Since the other measures of our little rectangular prism are the same as the aquarium, $l=50$ and $w=25$ . Lets replace those values in our volume formula:
$V=lwh$
$V=(50)(25)(5)$
$V=6250 cm^{3}$
Now that we know that she wants to cover a volume of 6250 $cm^{3}$ with marbles, lets find the volume of each marble.
We know that the diameter of each marble is 1 cm. Since the radius is of a sphere is half its diameter, $r= \frac{1}{2} =0.5$ . Lets replace that value in our volume formula:
$V= \frac{4}{3} \pi r^{3}$
$V= \frac{4}{3} \pi (0.5)^{3}$
$V=0.52 cm^{3}$
Now, let $x$ the number of marbles she will need to cover a volume of 6250 $cm^{3}$ :
$0.52x=6250$
$x= \frac{6250}{0.52}$
$x=12019.23$
Since we know that each bag of marbles has 500 marbles, we are going to divide the number of marbles she will need by the number of marbles in each bag:
$\frac{12019.23}{500} =24.03$

We can conclude that to fill a layer of 5 cm with marbles, she will need 24 bags of marbles.

Part B: We know that she already have 5 cm of her aquarium filled with marbles, and that she also added water until it’s level is 3 centimeters below the top of the tank, so to find the height of this new rectangular prism, we are going to subtract 5 cm plus 3 cm from the original height of her aquarium:
 $h=30-(5+8)$
$h=30-13$
$h=17cm$
Since the other measures of our little rectangular prism are the same as the aquarium, $l=50$ and $w=25$ . Lets replace those values in our volume formula:
$V=lwh$
$V=(50)(25)(17)$
$V=21250cm^{3}$
Remember that $1litre=1000cm^{3}$ . So:
$(21250cm^3)( \frac{1litre}{1000cm^{3})} =21.25liters$

We can conclude that there are 21.25 liters of water in the tank.

6 0

3 years ago

(x+y)² expresar en lenguaje normal

nikklg [1K]

Answer:

El cuadrado de la suma de dos números cualquiera

Step-by-step explanation:

Hope this helps

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2 years ago