In similar triangles the ratio of the corresponding sides is equal.
Therefore in this case; the two triangles are similar;
hence;
5 in/ 15 in = 8 in / x
Where x is the unknown side
x= (8 × 15)/5
= 120/5
= 24 in
Therefore, the value of x is 24 inches
Answer:
x • (2xt + 7y)
Step-by-step explanation:
Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).
((5xy-((x2)•t))+2xy)+(3x2•t)
3.1 Pull out like factors : 2x2t + 7xy = x • (2xt + 7y)
x • (2xt + 7y).
Answer:The vertex in the graph is (-2,1) and It has a maximum value of 1 ,occurs at x=-2
Step-by-step explanation:
To find the vertex of a quadratic equation you gotta find the find middle point of the equation it could be lowest or his point in the quadratic equation
In this graph the vertex is the highest point in this graph (-2,1)
The quadratic equation is a maximum because the vertex is the highest point in the graph and if the vertex point was the lowest point it would been minimum.
Answer:
the lion will only live 8.5 years
Step-by-step explanation:
Answer: 0.6274
Step-by-step explanation:
Given: The proportion of patients experience injection-site reactions with the current needle : p=0.11
Sample size : n= 4
Let x be a binomial random variable that represents the people get an injection-site reaction.
Binomial probability formula: 
The required probability : P(x=0)

Hence, the probability that none of the 4 people get an injection-site reaction = 0.6274