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Alex17521 [72]
2 years ago
13

The slope of a line perpendicular to the line whose equation is y = 3x - 4 is

Mathematics
1 answer:
trapecia [35]2 years ago
6 0

Answer:

m = -1/3

Step-by-step explanation:

y = 3x-4

This is in slope intercept form

y = mx+b  m is the slope and b is the y intercept

The slope is 3 and the y intercept is -4

We want the slope of a line that is perpendicular

Perpendicular lines have slopes that multiply to -1

Let m be the slope of the line that is perpendicular

3 * m = -1

Divide each side by 3

3m/3 = -1/3

m = -1/3

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What is the value of y?
lord [1]

Answer:

15

Step-by-step explanation:

Angle c is 180 - 146 = 34

All 3 angles add to 180:

(5y + 3) + (4y + 8) + 34 = 180

9y + 45 = 180

9y = 135

y = 15

5 0
2 years ago
In triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet.
olya-2409 [2.1K]
Where R is the median between Q and L:

From my understanding of a triangle's centroid, it divides an angle bisector into parts of 2/3 and 1/3. In the given problem, these divisions are NS and SR. Therefore, twice SR would be equal to NS. From here, we can get the value of X, to solve for SR.

NS = 2SR
(x + 10) = 2(x + 3)
x + 10 = 2x + 6
x = 4

Therefore, SR = (x + 3) = 7
4 0
2 years ago
Read 2 more answers
Find the value of x.​
patriot [66]

Answer:

the answer to this question is very simple

its

33.75°

8 0
2 years ago
F(x) = x^2. What is g(x)
Alexeev081 [22]

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
  • If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k  

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

4 0
3 years ago
Find 4 consecutive even integers whose sum is 156?
snow_tiger [21]
X+(x+1)+(x+2)+(x+3)=156
4x+6=156
4x=150
x=37.5 (not an integer)
If x=37 you get 37+38+39+40=154 and if x=38 you get 38+39+40+41=158[/tex]
8 0
3 years ago
Read 2 more answers
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