1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mkey [24]
3 years ago
13

The graph of a linear function passes through the points (2, 4) and (8, 10).

Mathematics
1 answer:
taurus [48]3 years ago
7 0
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ -2}}\quad ,&{{ 4}})\quad 
%   (c,d)
&({{ 8}}\quad ,&{{ 10}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{10-4}{8-(-2)}\implies \cfrac{10-4}{8+2}\implies \cfrac{6}{10}
\\\\\\
\cfrac{3}{5}

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-4=\cfrac{3}{5}[x-(-2)]\implies y-4=\cfrac{3}{5}(x+2)
\\\\\\
y-4=\cfrac{3}{5}x+\cfrac{6}{5}\implies y=\cfrac{3}{5}x+\cfrac{6}{5}+4\implies y=\cfrac{3}{5}x+\cfrac{26}{5}
You might be interested in
Merry Soy, married, earns a weekly salary of $830 and claims one withholding allowance. By the percentage method, how much incom
xxMikexx [17]
You need to find the amount subject to withholding, subtracting from the weekly salary the amount for one withholding allowance for weekly salaries, which is 77.90$:

830 - 77.90 = 752.1 $.

Then, look in the Fed Tax tables (
http://www.opers.ok.gov/Websites/opers/images/pdfs/2016-Fed-Tax-Tables.pdf ) for a married person with a weekly payroll.

You previously found an amount of  752.1 which is greater than 521 but less than 1613$: therefore the income tax to withhold is 35.70$ + 15% of excess over $521.

Therefore, calculate the income tax due: 35.70 + (752.1 - 521) × 15 ÷ 100 = 70.37$

The total amount of income tax that will be withheld is 70.37$
4 0
3 years ago
Determine if the following table represents a quadratic function.
snow_tiger [21]

Answer:

<em>The options are not visible enough (See Explanation)</em>

Step-by-step explanation:

Given

x:-  1   || 2   || 3   || 4   || 5

y:-  13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

Difference = 22 - 13 = 9

Difference = 37 - 22 = 15

Difference = 58 - 37 = 21

Difference = 85 - 58 = 27

<em>The resulting difference are: 9 || 15 || 21 ||  27</em>

Next; Calculate the difference between the difference of values of y

Difference = 15 - 9 = 6

Difference = 21 - 15 = 6

Difference = 27 - 21 = 6

<em>The resulting difference are: 6 || 6 || 6</em>

<em>For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.</em>

7 0
4 years ago
Round your answer to the nearest hundredth BC=?
miskamm [114]

Answer:

BC = 1.71

Step-by-step explanation:

well to start we have to know the relationship between angles, legs and the hypotenuse  in a right triangle

α = 70°

a: adjacent  = BC

h: hypotenuse = 5

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, adjacent, hypotenuse)

we look at which meets those data between the sine, cosine and tangent

is the cosine

cos α = a/h

Now we replace the values ​​and solve

cos 70 = a/5

0.34202 = a/5

0.34202 * 5 = a

1.7101 = a

round to the neares hundredth

a = 1.7101 = 1.71

BC = 1.71

7 0
3 years ago
Solve -2 = 5p + 3p -8 – 6p
Shalnov [3]

Answer:

P=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2=5p+3p−8−6p

−2=5p+3p+−8+−6p

−2=(5p+3p+−6p)+(−8)(Combine Like Terms)

−2=2p+−8

−2=2p−8

Step 2: Flip the equation.

2p−8=−2

Step 3: Add 8 to both sides.

2p−8+8=−2+8

2p=6

Step 4: Divide both sides by 2.

2p2=62

p=3

3 0
3 years ago
Give an example from your classroom of three collinear points
vagabundo [1.1K]
Chess board? , the board if there is like a line with points that has points on the same line. 
4 0
3 years ago
Other questions:
  • Wright each fraction as a decimal <br> 8 24/25
    7·2 answers
  • Latoya runs 12 miles in 75 minutes. how many miles does she run per minute?
    10·1 answer
  • Let f(x)=2x^3-4x+1. Fill in the blank with the number of times the output value (y) occurs for input values of x between -3 and
    5·1 answer
  • Use the drop-down menus to choose steps in order to correctly solve 1+2b−13=12−4b−2b1+2b-13=12-4b-2b for b
    11·2 answers
  • X - 10 = 25 please solve this hurry
    5·2 answers
  • Jiijijijghjgfuhguyguygyguyguygyugyug
    6·2 answers
  • There are 18 football teams in a league,
    11·1 answer
  • What is the place value of 3 in 7380529
    15·1 answer
  • Which of the following describes events that are dependent?
    6·1 answer
  • Write the equation in function form. Show your steps. <br> 2x-3y=0
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!