Answer: h=7
Step-by-step explanation:
By definition the function in vertex form is:
Where (h,k) is the vertex of the parabola.
You must group the terms that contain the same variable in the function:
Complete the square as following:
Now you must rewrite it as following:
Then:
h=7
Answer:
-87
Step-by-step explanation:
So, first to find <em>x</em> you need to subtract 121 from 180. You do this because both the angle which measures 121 degrees and <em>x</em> lie on the same line, and since a line has an angle measure of 180, you do 180-121 to find <em>x</em>. The same thing can be done for <em>y</em>. Since the angle measure of 34 degrees and y lie on the same line you can calculate 180-34 to get <em>y. </em>So, let's do that.
180-121=x
59=x
180-34=y
146=y
Once you've done that you can easily subtract the two and get your answer.
x-y
substitute the answer for the variables and get
59-146
and then your answer is
-87
Answer:
(12-7x)
Step-by-step explanation:
144 − 49x²
by observation, we can see that 144 = 12² and 49 = 7²
hence we can rewrite the equation
144 − 49x²
= 12² - 7²x²
= 12² - (7x)²
recall that the expression x² - y² = (x+y)(x-y)
hence,
12² - (7x)²
= (12 + 7x)(12-7x)
(12-7x) appears in the expression above, hence 12 -7x is a factor
The measurement of angle 1 is 60
Answer:
The correct answer is second option
380 square feet
Step-by-step explanation:
Area of composite solid = Base area + area of side rectangles + area of triangles
<u>To find the area of base</u>
Base area = length * width
= 10 * 10 = 100 ft²
<u>To find the area of side rectangle</u>
There are 4 rectangles with length 10 ft and width 6 ft
Area = 4 * area of one rectangle
= 4 * (10 * 6)
= 240 ft²
<u>To find the area of triangle</u>
Here base of triangle = 10 ft and height = 7 ft
Area of 4 triangles =4 * area of single triangle = 4 * (bh)/2
= 4 *(10 * 7)/2 = 140 ft²
To find the total area = Base area + area of side rectangles + area of triangles
= 100 + 240 + 140
= 380 square feet
The correct answer is second option
380 square feet
