Line KL has an equation of a line y = 4x + 5. Which of the following could be an equation for a line that is perpendicular to line AB? (6 points)y = 4x − 8
y = 1 over 4x − 8
y = −4x − 8
y = −1 over 4x − 8
Answers
Related Questions
A van travels 220 miles on 10 gallons of gas. Find how many gallons the van needs to travel 550 miles.31 gallons of gas 121 gallons of gas 25 gallons of gas 115 gallons of gas
7+ (-5)+(-2)=07+ (5)+(2)=07+(-4)+(-3)=07+(-6)+(-1)=0
1.) The median weight of a checked bag is 27.5 pounds. How does the mean of the data most likely compare to the median? The mean is most likely less than 27 pounds. The mean is most likely exactly 27.5 pounds. The mean is most likely about 28 pounds. The mean is most likely more than 28 pounds.
Which fraction is larger 1/4 or 2/5 find the common denominator
The graph of fb) will eventually exceed the graph of 900.
The graph of gb will eventually exceed the graph of fo.
The graphs will both have their y-intercept equal to -1.
The graphs will both have their y-Intercept equal to 8.
Answers
Answer:
d
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Answers
we know that
the volume of a rectangular prism is equal to
where
L is the length of the box
W is the width of the box
H is is the height of the box
in this problem we have
Convert feet to inches
we know that
feet is equal to
inches
so
Find the volume
therefore
the answer is
Convert 1.3 ft to inches which is 15.6in
then multiply all measurements using the volume formula which is L•W•H
17 * 15.6 * 8 = 2121.6 cubic inches
Answers
Answer:
Step-by-step explanation:
Given:
- p = log 2
- q = log 3
To find :
- log 162 in terms of p and q.
Solution:
In order to find the logarithm of 162 in terms of p and q, we can use the properties of logarithms.
We can start by expressing 162 as a product of prime factors:
Now, we can use the properties of logarithms to simplify this expression:
Since log(ab) = log(a) + log(b), we can split this into separate logarithms:
Now, we can use the fact that q = log 3:
Using the property, we get:
Now, substitute the values of p and q:
So, the logarithm of 162 in termsof p and q is:
Answer:
log 162 = 6p + 2q
Step-by-step explanation:
To write log 162 in terms of p and q, we can use the following steps:
- First, we can write 162 as a product of powers of 2 and 3, such as 162 = 2 x 3^4.
- Next, we can use the property of logarithms that log ab = log a + log b to write log 162 = log 2 + log 3^4.
- Then, we can use another property of logarithms that log a^n = n log a to write log 3^4 = 4 log 3.
- Finally, we can substitute p = log 2 and q = log 3 to get log 162 = p + 4q.
We can write 162 as follows:
```
162 = 2^6 * 3^2
```
Therefore,
```
log 162 = log (2^6 * 3^2)
```
Using the logarithmic properties of addition and multiplication, we can simplify this to:
```
log 162 = 6 * log 2 + 2 * log 3
```
Finally, substituting p = log 2 and q = log 3, we get the following expression:
```
log 162 = 6p + 2q
```
Therefore, log 162 can be written as **6p + 2q** in terms of p and q.
Okay, let's break this down step-by-step:
* log 162 = log (2^4 * 3^2) (by prime factorization)
* log (2^4 * 3^2) = 4log2 + 2log3 (by properties of logarithms)
* Let p = log 2 and q = log 3
* Substituting:
* log 162 = 4p + 2q
Therefore, log 162 can be written as 4p + 2q, where p = log 2 and q = log 3.
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To express log 162 in terms of p (log 2) and q (log 3), you can use logarithm properties, particularly the change of base formula. The change of base formula states that:
log_b(a) = log_c(a) / log_c(b)
In your case, you want to find log 162:
log 162 = log 2^1 * 3^4
Now, we can use the change of base formula with base 10 (or any other base):
log 162 = (log 2^1 * 3^4) / (log 10)
Since log 10 is simply 1 (logarithm of 10 to any base is 1), we can simplify further:
log 162 = (log 2^1 * 3^4) / 1
Now, apply the properties of logarithms to split the logarithm of a product into a sum of logarithms:
log 162 = (log 2^1) + (log 3^4)
Now, we can replace log 2 with p and log 3 with q:
log 162 = p + (4q)
So, log 162 in terms of p and q is:
log 162 = p + 4q
To write log 162 in terms of p and q, we can use the following steps:
- First, we can write 162 as a product of powers of 2 and 3, such as 162 = 2 x 3^4.
- Next, we can use the property of logarithms that log ab = log a + log b to write log 162 = log 2 + log 3^4.
- Then, we can use another property of logarithms that log a^n = n log a to write log 3^4 = 4 log 3.
- Finally, we can substitute p = log 2 and q = log 3 to get log 162 = p + 4q.
Answers
Answer:
the answer is 0.23076923076923
Answer: 0.230769 repeat
Answers
The coordinates of the y-intercept of the line whose equation is
12 x + 13 y = 8 is 8/13.
As given in the question,
Given equation: 12x + 13 y=8
Convert the equation into y-intercept form
General form of y-intercept form is
y=mx + b
Subtract from the equation 12x from both the side of equation,
12x+13y-12x=-12x+8
⇒ 13y=-12x +8
Divide both the side by 13
13y/13= (-12/13)x +8/13
⇒y=(-12/13)x +8/13
To get y-intercept put x=0
y =8/13
Therefore, thecoordinates of the y-intercept of the line whose equation is 12 x + 13 y = 8 is 8/13.
The complete question is :
What are the coordinates of the y-intercept of the line whose equation is
12 x + 13 y = 8 ?
Learn more about y- intercept here
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, what is a valid value of x?
Answers
Answer:
-3 or -1 is a valid value for x
Step-by-step explanation:
We start by cross multiplying;
So the expression becomes;
x^2 + 5x + 6 = 1(x + 3)
x^2 + 5x + 6 = x + 3
x^2 + 5x -x + 6-3 = 0
x^2 + 4x + 3 = 0
x^2 + x + 3x + 3 = 0
x(x + 1) + 3(x + 1) = 0
(x + 3)(x + 1) = 0
x + 3 = 0 or x + 1 = 0
x = -3 or x = -1