The length of a rectangular garden is 8 feet longer than its width. the garden's perimeter is 184 feet. find the length of the g
1 answer:
You might be interested in
Answer:
see attachment for graph
Step-by-step explanation:
< or > : dashed line
≤ or ≥ : solid line
< or ≤ : shade below the line
> or ≥ : shade above the line
<u>To graph the line y < 3x-2</u>
Rewrite the equation as: y = 3x - 2
Find two points on the line:
when x = 0, y = 3(0) - 2 = -2 → (0, -2)
when x = 3, y = 3(3) - 2 = 7 → (3, 7)
Plots the found points (0, -2) and (3, 7).
Draw a straight, dashed line through the points.
<u>To graph the line y ≥ -x + 3</u>
Rewrite the equation as: y = -x + 3
Find two points on the line:
when x = 0, y = -(0) + 3 = 3 → (0, 3)
when x = 3, y = -(3) + 3 = 0 → (3, 0)
Plots the found points (0, 3) and (3, 0).
Draw a straight, solid line through the points.
Shade above the solid line and below the dashed line to the right of where the two lines intersect. <u>The shaded area is the area of all possible solutions</u>.
Answer:
Step-by-step explanation:
5^2x=7^x+1 ⇔ ln5^2x = ln7^x+1 ⇔ 2xln5 = (x+1)ln7 ⇔ (2ln5-ln7)x = ln7
⇔ x = ln7/(2ln5-ln7)
The equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ
<h3>What are the six trigonometric ratios?</h3>Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
The missing information, not present in this question are:
- Length of FG = |FG| = 14.5
- Length of FE = |FE| = 11.9
- Angle ∠GFE = θ
Since for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.
Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.
Thus, we get:
Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ
Learn more about inverse trigonometric functions here:
