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Alchen [17]
3 years ago
11

A line has a slope of 8 and includes the points (1, z) and (2,8). What is the value of z?

Mathematics
1 answer:
NISA [10]3 years ago
6 0

The value of z is zero

Step-by-step explanation:

The slope is the steepness of the line.

The formula for slope is given by:

m=\frac{y_2-y_1}{x_2-x_1}\\Here\\(x_1,y_1)\ are\ the\ coordinates\ of\ first\ point\ on\ line\\(x_2,y_2)\ are\ the\ coordinates\ of\ second\ point\ on\ line

Here

(x1,y1) = (1,z)

(x2,y2) = (2,8)

So,

m=\frac{y_2-y_1}{x_2-x_1}\\8 = \frac{8-z}{2-1}\\8=\frac{8-z}{1}\\8-8 = -z\\z = 0

The value of z is zero

Keywords: slope, Line

Learn more about slope at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

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iris [78.8K]

The picture is your answer.

6 0
3 years ago
At to-go pizza each pizza cost $12 and each small salad costs $2. A delivery charge of $3 is added to every order. How much woul
MariettaO [177]
First, let's make some variables then make an expression. 

Let x = the number of pizzas
Let y = the number of salads


Then 12x = the price for x pizzas
Then 2y = the price y pizzas

Now we can make our expression.

We combine the costs for the pizzas and salads and delivery charge is added.

12x + 2y + 3

Now we have our expression. Replace the x with how many pizzas you bought and replace the y with how many salads you bought.

How much would 6 pizzas and 3 small salads would cost?

12(6) + 2(3) + 3 = 
72 + 6 + 3 =
78 + 3 =
81

The answer to this question is $81.

EDIT:

I want to give a thank you to Irspow for finding my error!
6 0
3 years ago
Read 2 more answers
Help:) (no links please)!!!!
ICE Princess25 [194]
The answer is 9 miles!
3 0
3 years ago
Please help :) I have no clue & math isn’t my strong subject.
melisa1 [442]

Equation of a line that is perpendicular to given line is y=\frac{-7}{4} x+\frac{7}{4}.

Equation of a line that is parallel to given line is y=\frac{4}{7} x-\frac{69}{7}.

Solution:

Given line y=\frac{4}{7} x+4.

Slope of this line, m_1 = \frac{4}{7}

$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }

                                   $m_2=\frac{-1}{m_1}

                                          $=\frac{-1}{\frac{4}{7} }

Slope of perpendicular line, m_2=\frac{-7}{4}

Passes through the point (–7, 5). Here x_1=-7, y_1=5.

Point-slope formula:

y-y_1=m(x-x_1)

$y-(-7)=\frac{-7}{4} (x-5)

$y+7=\frac{-7}{4} x+\frac{35}{4}

Subtract 7 from both sides, we get

$y=\frac{-7}{4} x+\frac{7}{4}

Equation of a line that is perpendicular to given line is y=\frac{-7}{4} x+\frac{7}{4}.

To find the parallel line:

Slopes of parallel lines are equal.

m_1=m_3

$m_3=\frac{4}{7}

Passes through the point (–7, 5). Here x_1=-7, y_1=5.

Point-slope formula:

$y-(-7)=\frac{4}{7} (x-5)

$y+7=\frac{4}{7} x-\frac{20}{7}

Subtract 7 from both sides,

$y=\frac{4}{7} x-\frac{69}{7}

Equation of a line that is parallel to given line is y=\frac{4}{7} x-\frac{69}{7}.

7 0
3 years ago
Which Exponential function has a initial and child value of 2​
fredd [130]

For an exponential function the y-intercept is the "initial value" (not the common ratio).

y = 2 \times  {1}^{x}

will always be 2. if that's what you need

note that

{1}^{0}  = 1

because anything to the power of zero equals 0 (mathematically it's deciding something by itself)

7 0
3 years ago
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