Rename the number 850,000

One line passes through the points \blueD{(-3,-1)}(−3,−1)start color #11accd, (, minus, 3, comma, minus, 1, ), end color #11accd

mart [117]

Answer:

The lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

Remember that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Find the slope of the first line

we have the points

(-3,-1) and (1,-9)

substitute in the formula

$m_1=\frac{-9+1}{1+3}$

$m_1=\frac{-8}{4}$

$m_1=-2$

Find the slope of the second line

we have the points

(1,4) and (5,6)

substitute in the formula

$m_2=\frac{6-4}{5-1}$

$m_2=\frac{2}{4}$

Simplify

$m_2=\frac{1}{2}$

Compare the slopes

$m_1=-2$

$m_2=\frac{1}{2}$

Find out the product

$m_1*m_2=(-2)(\frac{1}{2})=-1$

therefore

The lines are perpendicular

8 0

3 years ago

Read 2 more answers

Carl has 3 1/2 cups of blueberries. He is storing them in containers that each hold 2/3 cup. How many containers can he fill? Fi

aivan3 [116]

Answer:

The total number of containers than can be filled = $5\frac{11}{50}$

Step-by-step explanation:

The amount of blueberries Carl has = 3 1/2 cups

Now, $3\frac{1}{2} = 3 + \frac{1}{2} = 3 + 0.5 = 3.5$

⇒The amount of blueberries Carl has = 3. 5 cups

Also,the amount of blueberries each container can store = 2/3 cups

Now, $\frac{2}{3} = 0.67$

⇒The amount of blueberries each container can store = 0.67 cups

So, \textrm{Total cpus that can be filled by blueberries} = \frac{\textrm{Toaal amount of blueberries to be stored}}{\textrm{Bluebeeries stored in 1 cup}}

= $\frac{3.5 cup}{0.67 cup} = 5.22$

Now, $5.22 = 5 + 0.22 = 5 + \frac{22}{100} = 5 + \frac{11}{50} = 5 \frac{11}{50}$

Hence, the total number of cups than cen be filled with the blue berries = 5 11/50

⇒ Blueberries can fill 5 full cups and 11/50th of the 6th cup.

3 0

4 years ago

How do I factor quadratics?

nekit [7.7K]

Ok so factoring quadratics is fairly easy once you get the hang of it

So we have a quadratic $x^2+x-2$

My first question would be what 2 numbers multiply to -2 and add to +1

the answer is 2 and -1

Second question what 2 values multiply to get $x^2$

the answer x and x

your factored form would be $(x-1)(x+2)$

This is as far as i can explain there is a whole lot about quadratics to be learned. You have to ask your teacher on more information

6 0

4 years ago

Find the volume of a cone with a base radius of 3 m and a height of 9 m.

Darina [25.2K]

Answer:

V = 84.8 cubic meters

Step-by-step explanation:

V(cone) = πr²·(h÷3)

V = 3²π·(9/3)

V = 27π

V = 84.8 cubic meters

8 0

3 years ago

10 - 2 (3x + 4) < 11

Effectus [21]

Answer:

x > - $\frac{3}{2}$

Step-by-step explanation:

Given

10 - 2(3x + 4) < 11 ← distribute and simplify left side

10 - 6x - 8 < 11

2 - 6x < 11 ( subtract 2 from both sides )

- 6x < 9

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.

x > $\frac{9}{-6}$ ⇒ x > - $\frac{3}{2}$

6 0

3 years ago

Read 2 more answers