Answer:
Step-by-step explanation:
We have been given an equation . We are asked to write our given equation in standard form.
We know that standard form of an equation is in form , where A, B and C are constants.
First of all, we will bring x term to left of the equation as:
Now, we will multiply both sides of equation by 5 as:
Therefore, our equation in standard form would be .
Answer:
Step-by-step explanation:
we know that
The area of the polygon is equal to the area of a square plus the area of four congruent triangles
so
where
substitute
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The angles 2 and 3 are corresponding angles. So it's choice C.
<em><u>Tip:</u></em> Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Answer:
<em>468 square feet; Option C</em>
Step-by-step explanation:
We can see that the base of this triangular prism has dimensions 15 feet by 10 feet, so for starters let us compute the area of this base:
Area ⇒ 15 * 10 = 150 ft^2
Now the rectangular surface next to this base, has dimensions 9 feet by 10 feet, provided that 9 feet is a uniform height of the triangular prism:
Area ⇒ 9 * 10 = 90 ft^2
This third rectangle is provided with one dimensions, of 10 feet. If we were to imagine what part of the 3-d shape is is, it would in fact be the slanted top. To find the second dimension, you would imagine it to be 12 feet. Using that, the area of this rectangle is thus ⇒ 10 * 12 = 120 ft^2
Now the two triangles at the corners each have an area of ⇒ 1/2 * base * height = 1/2 * 12 * 9 = 6 * 9 = 54 ft^2, so they have a total area of ⇒ 108 ft^2
This means the surface area of the right, triangular prism is:
150 + 90 + 120 + 108 = <em>Answer: 468 square feet</em>