Answer:
36 square units
Step-by-step explanation:
x = 6 (width)
y = 3 (base - b)
h = 4 (length and height - l and h)
- Area of a rectangle: l*w
- Area of a triangle: 1/2*b*h
For the triangles:
Area of a triangle: 1/2*b*h
A = 1/2 * 3 * 4
A = 1/2 * 12
A = 6
*Since there are two triangles, it would be 6 * 2 = 12
For the rectangle:
Area of a rectangle: l*w
A = 4 * 6
A = 24
Now, we add them together:
A = 12 + 24
A = 36 square units
Therefore, the area of the rhombus is 36 square units
Hope this helps!
It's B, because of the definition of a function.
Answer:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
isnt the x a 90 degree angle?
Answer:
C. (-1, 3)
Step-by-step explanation:
Label the 2 equations:
5y= 7x +22 -----(1)
x= -6y +17 -----(2)
Substitute (2) into (1):
5y= 7(-6y +17) +22
5y= -42y +119 +22 <em>(</em><em>Expand</em><em> </em><em>bracket</em><em>)</em>
5y= -42y +141 <em>(</em><em>Simplify</em><em>)</em>
42y +5y= 141 <em>(</em><em>+</em><em>42y</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
47y= 141
y= 141 ÷47 <em>(</em><em>÷</em><em>4</em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
y= 3
Substitute y= 3 into (2):
x= -6(3) +17
x= -18 +17
x= -1
Thus, the solution is (-1, 3).
Answer:
an = -6n + 5.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 = -1 and common difference d = -6
an = a1 + d(n-1)
an = -1 + -6(n - 1)
an = -1 -6n + 6
an = -6n + 5.
