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photoshop1234 [79]
2 years ago
11

Write an equation that passes through -2 and 5 and perpendicular to x=7? y=mx+b

Mathematics
1 answer:
GarryVolchara [31]2 years ago
4 0

Answer:

Step-by-step explanation:

I'm going to assume you mean passes through the point (-2,5) since -2 and 5 could mean a lot of different things

To find the perpendicular line's gradient, you would know that m1*m2 = -1

In this case m1 = 7, so m2 must be -1/7

Now we substitute the gradient into the equation

y = -1/7x + b

To find b, we substitute (-2,5) into the equation above

5 = -1/7*-2+b

5 = 2/7 + b

b = 33/7

Therefore the equation of the line is

y = -1/7x+33/7

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Solve for x by factoring. Check your answers. Can you check to see if I'm correct?
Studentka2010 [4]
If you want to check if your answer is correct, expanding it all out will help!

(x-6)(x+2)=0 <-- Use FOIL tactic 

x²+2x-6x-12=0

x²-4x-12=0 

As you can see, this is identical to the initial equation given. The x values would be 6 and -2, as seen from the factored equation. 

Hope I helped :) 
7 0
3 years ago
The student in Mrs.Willows class are all reading the same novel. Four students create a graph of their reading rates, in words p
brilliants [131]

Answer:

Mason

Step-by-step explanation:

It is simply a matter of which line is steepest. Charlie's graph is the steepest but the units the students plotted by are not the same. So on Mason's graph, if u plot a point high on the line u see he reads the most words in the least time.

Hope this helps,

plx give brainliest

5 0
3 years ago
BRAINLIEST ANSWER THIS IS URGENT PLEASE HURRY. ANSWER ALL THE BLANK BOXES.
shusha [124]

The answers are:

1) x

2) x

3) \frac{ln(x+4)}{2}

The explanation for this answer is shown below.

1. To solve this problem you must apply the following proccedure:

2. You have the function f(x)=e^{2x}-4\\  y=e^{2x}-4

3. You must switchx and y and then solve forx:

x=e^{2y}-4\\ x+4=e^{2x}\\ ln(x+4)=2y\\ y=\frac{ln(x+4)}{2}

4. Finally, you obtain:

f^{-1}(x)=\frac{ln(x+4)}{2}

7 0
2 years ago
I need help with this
maks197457 [2]
Number one : x^6 yz^8
number two : 64x^6 z^12 / y^9
number three : x^9 y^3
number four : y^7/x^7z^3
number five : x^3/5y^2
number six : x^12y^3/z^6
7 0
2 years ago
(10000*C)/1.05+(10000*C)/1.05^2…..(10000*C)/1.05^13=100<br> Find C?
rosijanka [135]

9514 1404 393

Answer:

  C ≈ 0.00106455765168

Step-by-step explanation:

This is the sum of 13 terms of the geometric series that has 10000C/1.05 as the first term and a common ratio of 1/1.05. The sum S is given by ...

  S = a1(1 -r^n)/(1 -r) . . . . a1 is the first term, r is the common ratio

Using the known values, we have ...

  100 = (10000C/1.05)(1 -1.05^-13)/(1 -1/1.05))

  0.01 = C(1 -1.05^-13)/0.05

  C = 0.0005/(1 -1.05^-13) ≈ 0.0005/0.469679

  C ≈ 0.00106455765168

3 0
3 years ago
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