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3 years ago

Question 11 PLEASE HELP find the slope of the line that passes through the points (6,2) and (8,8)

Mathematics

1 answer:

Orlov [11]3 years ago

7 0

Answer:

Hey there!

We have the equation: y2-y1/x2-x1.

So, we have: 8-2/8-6.

6/2, or 3.

Hope this helps!

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Think of your favorite spot to get food from. You are going there to get your first meal after quarantine and the meal cost $35.

sveta [45]

Answer:

You will be paying $41.30 in total.

Step-by-step explanation:

The cost of the meal is $35 and you want to leave 18% tip on the meal.

We want to find the total amount that will be paid.

First, we have to find 18% of $35 and then, add it to the original bill ($35).

18% of 35 is:

18/100 * 35 = $6.30

The tip is $6.30, therefore, the total amount paid will be:

$35 + $6.30 = $41.30

You will be paying $41.30 in total.

6 0

2 years ago

Find an equation of the plane. the plane through the point (−5, 9, 10) and perpendicular to the line x = 1 + t, y = 4t, z = 2 −

PtichkaEL [24]

The direction vector of the line
L: x=1+t, y=4t, z=2-3t
is <1,4,-3>
which is also the required normal vector of the plane.

Since the plane passes through point (-5,9,10), the required plane is :
Π 1(x-(-5)+4(y-9)-3(z-10)=0
=>
Π x+4y-3z=1

3 0

3 years ago

The price of an item yesterday was $60. Today, the price fell to $42. Find the percentage decrease.

oksian1 [2.3K]

Answer:

-30% or 30% decrease

Step-by-step explanation:

What's percentage decrease?

Percent decrease is the difference between the initial value and new value, indicating a loss of value.
The formula to find percent decrease is $\frac{NV-IV}{IV} * 100$ , where NV = new value and IV = initial value.

How do we solve this problem?

We know that the original value was $60, so that represents IV. Also, now that the price is $42, it represents NV.
Now, we plug in the values!
$\frac{42-60}{60} * 100$
$\frac{-18}{60} * 100$
$-\frac{3}{10} * 100$
$-3 * 10$
$-30$

Therefore, the answer is 30% decrease.

6 0

2 years ago

What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.

Zanzabum

Hi there!

The general formula of A line in slope-intercept form is the following:
$y = mx + n$

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
$y = \frac{2}{5} x + n$

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

$- 1 = \frac{2}{5} \times - 3 + n$

Multiply first.
$- 1 = - 1\frac{1}{5} + n$

And finally add 1 1/5 to both sides of the equation.
$\frac{1}{5} = n$

We can now switch sides.
$n = \frac{1}{5}$

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
$y = \frac{2}{5} x + \frac{1}{5}$

7 0

3 years ago

Vanessa swims 7.25 feet below sea level. Her friend Emily swims 5.4 feet further down. How many feet did Emily swim down to?

grin007 [14]

B: 12.65 feet
if vanessa is already 7.25 feet down, and emily is 5.4 feet further, you would do 7.25+5.4 which is 12.65

8 0

2 years ago