To find where graph is intercepting x and y axis all we have to do is to calculate what is value of x when y = 0 (x intercept) and what value of y is when x = 0 (y intercept)
1) x = 0
-3y = 9
y = -3
2) y = 0
x = 9/2
Graph is bellow.
Answer:
$17.25
Step-by-step explanation:
Jeffrey earned $65 doing yard work.
He bought a pair of jeans costs = $31.25
and a sweatshirt costs = $16.50
Total amount he spent = 31.25 + 16.50 = $47.75
Now he left with money from his shopping = $65.00 - $47.75
= $17.25
Jeffrey set aside $17.25 for the gift.
Y - (-1/2) = 3(x - 2)
y + 1/2 = 3(x - 2)
Area of triangle: 1/2(base)(height)
Area of rectangle: length × width
Find the area of the triangles on the sides first using 1/2(base)(height).
Plug 8 for the base and 6 for the height.
1/2(8)(6) = 24 units²
Multiply 24 by 2 for both of the triangles.
(24)(2) = 48 units²
Find the area of the rectangles of the object using length × width.
For the rectangle on top, you can find the width using the Pythagorean Theorem: a² + b² = c².
Plug in 6 and 8 for a and b, and find c (width).
6² + 8² = c²
36 + 64 = 100
Square root both sides; √100 = 10.
The width of the rectangle on top is 10.
Now plug 20 for the length and 10 for the width.
20 × 10 = 200 units²
For the rectangle on the bottom, plug in 20 for the length and 8 for the width.
20 × 8 = 160 units²
For the rectangle on the side, plug in 20 for the length and 6 for the width.
20 × 6 = 120 units²
Add up all the areas ⇒ 48 + 200 + 160 + 120 = 528 units².
The height of the flag pole which is described as in the task content is; 8.2m.
<h3>What is the height of the flagpole as described from the top of the 6m house?</h3>
The horizontal distance between the 6m house and the flagpole in discuss can be evaluated by means of the angle of depression and trigonometric identity, tan as follows;
tan 22° = 6/x
x = 6/tan 22 = 14.9m.
Consequently, the horizontal distance from the top of the house to the top of the flagpole is therefore;
tan 9° = y/14.9
y = 14.9 tan 9° = 2.2m
Ultimately, the height of the flagpole is; 6+2.2 = 8.2m.
Read more on trigonometric identities;
brainly.com/question/24349828
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