Answer:
15.625
Step-by-step explanation:
if 1 in is 2.5 cm. 6.25 x 2.5 = 15.625
change to improper fraction:
22 4/5
22*5=110+4=114
114/5
divide:
114/5=22.8
Thus, 22 4/5 as a decimal is 22.8
Hi there!
Looking at the graph, the first intersection point is clear. The red parabola and blue line clearing intersect at the point (0, -1).
Find the second intersection point by setting the equations of both graphs equal to each other.
Line: y = 3x - 1
Parabola: y = 4x² - 1
Find another intersection point by setting these two equations equal to each other:
4x² - 1 = 3x - 1
Bring all terms onto one side:
4x² - 3x = 0
Factor out x:
x(4x - 3) = 0
Set 4x - 3 to 0 and solve:
4x - 3 = 0
4x = 3
x = 3/4
Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:
y = 3(3/4) - 1
y = 9/4 - 1
y = 5/4
(3/4, 5/4)
The answer should be C,
To solve this question, we have to use the rule of triangle inequality. This means, lengths of the any 2 sides of a triangle added up, must be longer than the remaining side.
Therefore, we can try and see which one of the options fits the rule.
A.
35+25 > 10 ✔️
25 + 10 = 35❌
A cannot make a triangle.
B.
15 + 10 > 5 ✔️
10 + 5 = 15 ❌
B cannot make a triangle.
C.
35 + 45 > 55 ✔️
45 + 55 > 35 ✔️
35 + 55 > 45 ✔️
C can make a triangle.
D.
25 + 25 < 75 ❌
D cannot make a triangle.
Therefore, the answer should be C.