Answer:
A shaded region below a dashed line (y <3x-4)
Step-by-step explanation:
For linear inequalities, we have shaded regions below or above a dashed or solid or continuous line represented by an inequality.
Their graphs are called region graphs. Those regions are only enclosed ones if before the sign of inequality it is included both variables. Like x²+y²<1, |x+y|<1, etc.
In this case what we have here is an open region, as the graph below shows.
3x-y>4 =-y>4-3x∴y<3x-4
Setting a value for x
3x-4=0
3x=4
3x/3=4/3
x=4/3 (slope)
(4/3,0)
Answer:
$4.05
Step-by-step explanation:
45 x 9 = 4.05
Hi there!
From this problem we can pull out some key information and remove any excess.
- The trail is 1/4 of a mile long.
- Angelo rode around the trail 8 times.
- Angelo claims he rode 8/4 miles.
- Teresa claims he rode 2 miles.
From that we know that if Angelo rode around the trail 8 times and the trail is 1/4 a mile, he in total rode 8/4 of a mile.
However, Teresa claims he rode 2 miles!
And the answer is... they're both correct!
Angelo did indeed ride 8/4 miles however that is equivalent to 2 miles so they are both in the right.
Answer:
The inverse of this equation would be y = 
Step-by-step explanation:
To find the inverse of any equation, start by switching the y and x values. Then solve for the new y value. That equation will be your inverse.
y = 7x^2 - 3
x = 7y^2 - 3
x + 3 = 7y^2
= y^2
= y
Question 1:
Since this is an isosceles trapezoid angle J is equal to angle M
20x + 9 = 14x + 15
Subtract both sides by 14x and 9
6x = 6
Divide both sides by 6
x = 1
Plug this into 14x + 15 and 20x + 9
You get 29 degrees.
Now, multiply that by 2.
29 * 2 = 58
Subtract that from 360 to get the sum of angles K and L
360 - 58 = 302
Now, divide that by 2 since we know that angles K and L are congruent.
302 / 2 = 151
That's the measure for both angle K and L.
The first choice is your answer.
Question 2:
The diagonals of a rhombus are always perpendicular. That means angles 1, 2, and 3 are all equal to 90 degrees.
Although it may seem that we'll have to solve for x, y, and z. We really only need to solve for z.
For angle 2, we know that x + y = 90.
Now, let's solve for z.
30z = 90
Divide both sides by 30
z = 3
Now, add them all together
x + y + z
= 90 + 3
= 93
The first choice is your answer.
Question 3:
The diagonals of a rectangle are always congruent.
6x + 16 = 49
Subtract both sides by 16
6x = 33
Now, divide both sides by 6
x = 5.5
The last choice is your answer.
Have an awesome day! :)
