Answer: figure 1). x = 36 2). x = 123
Explanation:
Figure 1:
Angle x = angle 1
And angle 4 = 4x
Angle 4 + angle 1 = 180
4x + x = 180
5x = 180
x = 36
Figure 2:
Angle 1 = 68 degree
Angle 2 = 55 degree
Find angle 3:
180 - (68 + 55)
= 180 - 123
= 57 degree
But angle 3 = angle 4 = 57 degree
But: angle 4 + x = 180
57 + x = 180
x = 180 - 57
x = 123
Answer:
Since we know what y is, it is 3x+9, we can substitute 3x+9 in for y in the first equation
4x+5y=7
Substitute 3x+9 in
4x+5(3x+9)=7
Distribute the 5
4x+ 5*3x +5*9=7
(4x+15x)+45=7
Combine like terms
19x=-38
Divide both sides by 19
x= -2
Now we know x, and have to find y. Substitute -2 in for x in either of the equations
y=3x+9
y=3(-2)+9
y=-6+9
y=3
Answer:
10 units
Step-by-step explanation:
<u>General equation of an ellipse</u>
<u>Major Axis</u>: longest diameter of an ellipse
<u>Minor Axis</u>: shortest diameter of an ellipse
<u>Major radius</u>: one half of the major axis
<u>Minor radius</u>: one half of the minor axis
If a > b the ellipse is horizontal, a is the major radius, and b is the minor radius.
If b > a the ellipse is vertical and b is the major radius, and a is the minor radius.
Given equation:
Comparing with the general equation:
- h = 0
- a² = 9 ⇒ a = 3
- k = 4
- b² = 25 ⇒ b = 5
As b > a then the ellipse is vertical and b is the major radius.
⇒ Major axis = 2 × Major Radius
= 2b
= 2 × 5
= 10
Also, the vertices are:
- (3, 4) and (-3 ,4)
- (0, 9) and (0, -1)
Answer:
A is the corect answer
Step-by-step explanation:
when solved it will equal 0=4 which is a contridition.
Answer:
1,004
Step-by-step explanation: