Equilateral triangle have the same side lengths. Perimeter = sum of all sides
(4x - 3) + (4x - 3) + (4x - 3) = 63
Remove parentheses
4x - 3 + 4x - 3 + 4x - 3 = 63
Combine like terms
12x - 9 = 63
12x = 72, x = 6
Solution: x = 6
Answer:
a) 72 cm^2
b) 9 cm^2
c) 9 cm^2
d) 60.39 cm^2
Step-by-step explanation:
a) the the length is 12 cm and the width is 6 cm. Area = lw
A=(12)(6)
A=72 cm^2
b) base equals 3 cm
Height equals 6 cm
A=1/2(3)(6)
A= 9 cm^2
c) base = 3 cm
height=6 cm
Area=1/2(3)(6)
A=9 cm^2
d) to to find the area of the parallelogram, You need to use Pythagorean theorem for one of the triangles.
3^2 + 6^2 = x^2
9 + 36 = x^2
45=x^2
✓45 = ✓x^2
x = 6.71 cm
12-3 = 9
now that you have all the sides for the parallelogram, multiply 6.71 times 9 to get the area.
A= 60.39 cm^2
Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation, 
, where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
.
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):
Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
Answer:
I believe the answer is about 34
Step-by-step explanation:
Answer:
Constant of proportionality = 30
Example: r = 6, V = 5
Step-by-step explanation:
Inverse proportion: V*r = constant
Given r=3, V=10, constant = V*r = 30
Example:
r = 6, V = 30/6 = 5
