Answer:
The graph shows the solution of the inequality y > 
x - 2 ⇒ D
Step-by-step explanation:
In the inequality,
- If the sign of inequality is ≤ or ≥, then the line that represents it must be a solid line
- If the sign of inequality is < or >, then the line that represents it must be a dashed line
- If the sign of inequality is > or ≥, then the shaded area must be over the line
- If the sign of inequality is < or ≤, then the shaded area must be under the line
From the given graph
∵ The slope of the line = 
= 
= 
=
∵ The y-intercept is (0, -2)
∵ The line is dashed and the shaded area is over the line
→ By using the 2nd and 3rd notes above, the line is dashed and
the sign of inequality is >
∴ The inequality is y > x - 2
∴ The graph shows the solution of the inequality y > x - 2
first invert fraction of the slope from 4/1 to 1/4 and switch sign. then figure out the y-intercept
the algebraic approach would work like this:
-4x + 10 = 1/4x + b
plug in what you got, here: the intersection information
-4*(4) + 10 = 1/4*(4) + b
-16 + 10 = 1 + b
-6 = 1 + b
-7 = b
Let Cameron be x years old now.
-
<u>Now:</u>
Cameron = x
Uncle =3x
-
<u>4 years ago:</u>
Cameron = x - 4
Uncle = 3x - 4
-
<u>4 years ago, Uncle is 4 times older:</u>
3x - 4 = 4(x - 4)
-
<u>Find x:</u>
3x - 4 = 4(x - 4)
3x - 4 = 4x - 16
4x - 3x = 16 - 4
x = 12
-
<u>Find the age:</u>
Cameron = x = 12
-
Answer: Cameron is 12 years old now.
Answer:
AB = BC = AC = 15
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent.
Equate any 2 sides and solve for x , that is
AC = AB , so
11x - 7 = 6x + 3 ( subtract 6x from both sides )
5x - 7 = 3 ( add 7 to both sides )
5x = 10 ( divide both sides by 5 )
x = 2
Then
AC = 11x - 7 = 11(2) - 7 = 22 - 7 = 15 , thus
AB = BC = AC = 15
Using the definition of angles on a straight line, the measure of angle BEC is: 62°.
<h3>What are Angles on a Straight Line?</h3>
Angles that lie on a straight line add up to 180 degrees.
Thus, given that EB bisects ∠AEC, therefore:
m∠BEC = 1/2(180 - m∠CED)
Plug in the values
m∠BEC = 1/2(180 - 56)
m∠BEC = 1/2(124)
m∠BEC = 62°
Thus, using the definition of angles on a straight line, the measure of angle BEC is: 62°.
Learn more about angles on a straight line on:
brainly.com/question/24024505
