Answer:
E'F' and EF are equal in length
Step-by-step explanation:
we have
The coordinates of point E(-3,2) and F(-1,2)
we know that
The rule of the reflection across the x-axis is
(x,y) ------> (x,-y)
so
Applying the rule of reflection across the x-axis
E(-3,2) -------> E'(-3,-2)
F(-1,2) --------> F'(-1,-2)
using a graphing tool
see the attached figure to better understand the problem
therefore
E'F' and EF are equal in length
Answer:
A) z= -4
Step-by-step explanation:
1.
Use this rule: √ab = √a√b
√12√x^2
Simplify √12 to 2√3
2√3√x^2
Simplify √x^2 to x
2√3x^2
3.
Multiply the numerator and denominator by the conjugate.
2√x/x
Answer:

Step-by-step explanation:
Hello There!
Once again we are going to use trigonometry to solve for x
Here are the <u>Trigonometric Ratios</u>
sin = opposite divided by hypotenuse
cos = adjacent divided by hypotenuse
tan = opposite divided by adjacent
we need to find x and we are given its opposite side length (58) and the adjacent side length (19)
this corresponds with tangent so once again we will be using tangent to solve for x
Looking at tangent we see that its equal to opposite divided by adjacent so we create an equation

now we have

Once again we need to get rid of the tan
to do so we take the inverse of tan ( tan^-1) and apply it to each side

finally we round to the nearest tenth
we're left with x = 71.9
Answer:
The length of Ave's garden is 8 feet.
Step-by-step explanation:
The area of a rectangle can be calculated by:
A = l × w
Where; A represents the area, l the length and w, width.
Thus from the question,
32 = l × 4
l = 32 /4
l = 8
Therefore, the length of the garden required is 8 feet.