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antiseptic1488 [7]
3 years ago
8

What is an equation of a line perpendicular to 5x+8y=16 and passed through (-5,7)

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0

Answer:

8x - 5y = -75 or y = 1⅗x + 15

Step-by-step explanation:

5x + 8y = 16

-5x - 5x

_____________

8y = -5x + 16

___ ________

8 8

y = -⅝x + 2

↑

slope

Now, Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>Rate</em><em> </em><em>of</em><em> </em><em>Changes</em><em> </em>[<em>Slopes</em>]:

-⅝ → 1⅗ [or 8⁄5]

7 = 1⅗[-5] + b

-8

15 = b

y = 1⅗x + 15 >> Perpendicular Line in <em>Slope-Intercept Form</em>

If wanted in <em>Standard</em><em> </em><em>Form</em>:

y = 1⅗x + 15

-1⅗x - 1⅗x

_____________

-1⅗x + y = 15 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

-5[-1⅗x + y = 15]

8x - 5y = -75 >> Perpendicular Line in <em>Standard Form</em>

I am joyous to assist you anytime.

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KatRina [158]

Answer:

its 2 inches

Step-by-step explanation:

0.5 * 16= 4 * x

8 = 4x

x = 2

3 0
2 years ago
Read 2 more answers
Would really appreciate if u could help me with all letters but even a few are great! Thanks (the graph is hard to explain so i
defon
Part A

The equation is b = 36*a or simply b = 36a

We take the size of the farm 'a' and multiply it by 36 to get the number of bushels of corn 'b'.

-----------------------------------

Part B

The 36 means there are 36 times more bushels of corn compared to the size of the farm in acres

For example, if the size is 2 acres then 
b = 36*a
b = 36*2
b = 72
yielding 72 bushels of corn

-----------------------------------

Part C

Along the first row you should have: 25 and 30 in the missing blanks (over 900 and 1080 respectively)

You find this by dividing the value of b over 36
eg: b/36 = 900/36 = 25

-------

Then along the bottom row you should have the following for the blanks: 0, 360, 1800

These values are found by multiplying the 'a' value by 36
eg: if a = 10 then b = 36*a = 36*10 = 360

-----------------------------------

Part D

Plot any two points you want from the table back in part C
So plot say (0,0) and (10,360). Then draw a straight line through those two points.

-----------------------------------

Part E

The point (30,1080) means a = 30 and b = 1080
So if the farm is 30 acres, then it can produce 1080 bushels of corn

Notice how
b = 36*a
b = 36*30 <<-- replace 'a' with 30
b = 180
And how this matches up with the fourth column of the table in part C. So you can use this part to get a hint of how to fill out the table (or at least know what one column looks like)


8 0
3 years ago
I need help with this question asap!!I will give brainliest!!!please and thank you​
pogonyaev

Answer:

Step-by-step explanation:

(4,6) and (20,14) are points on the line.

slope of line = (14-6)/(20-4) = 8/16= 1/2

point-slope equation for line of slope 1/2 that passes through (6,4):

y-4 = (½)(x-6)

in slope-intercept form:

y = ½x + 1

y-intercept = 1

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2 years ago
Georgina wants to practice the piano for a two least 45 minutes tonight. Which of the following inequalities represents the situ
Anika [276]
Um i would love to help but i do t really understand
5 0
3 years ago
Please help me! Thank you
Yuki888 [10]

Answer:

Anne

Step-by-step explanation:

The expression cannot be simplified anymore, but it can be laid out correctly.

The greatest number for the exponents should come first, so Anne is the one who laid it out correctly.

Hope it helps!!

Let me know if I'm wrong...

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