The answer should be 95in^2
Explanation:
You’re essentially just finding the area of all the shapes on the triangle and adding them together.
Area of a triangle = 1/2•b•h
Area of a square = l•w or just s2
The area of the triangles given what we have in the diagram can be found with
1/2•5•7 = 17.5
There are 4 triangles so you multiply 17.5 by 4 which gives 70
The base of the triangle (the square) = 25
70+25=95
Answer:
y = 15x
Step-by-step explanation:
Given x and y are in direct variation then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 2, y = 30, then
30 = 2k ( divide both sides by 2 )
15 = k
y = 15x ← equation of variation
You multiply or divide integers just as you do whole numbers, except you must keep track of the signs. To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer.
<span>
When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.</span>
<span>Positive x positive = positive
Negative x negative = positive</span>
<span>When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative.</span>
<span>Positive x negative = negative
Negative x positive = negative</span>
<span>When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.</span>
<span>Positive ÷ positive = positive
Negative ÷ negative = positive</span>
<span>When you divide two integers with different signs, the result is always negative. Just divide the absolute values and make the answer negative.</span>
<span>Positive ÷ negative = negative
Negative ÷ positive = negative</span>
Answer:
a = - 
, b = - 
Step-by-step explanation:
To obtain the required form use the method of completing the square
add/ subtract ( half the coefficient of the x- term)² to x² - 9x
y = x² + 2(- )x + 
- + 14
= (x - )² - + 
= (x - )²- ← in the form (x + a)² + b
with a = - and b = -
Answer:
a) 
b) The population increases 7.1% each year.
Step-by-step explanation:
The continuous population growth model is given by:
In which 
is the population after t years, 
is the initial population and r is the growth rate.
In this problem, we have that:
A population grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.
This means that 
a) Write a function to model the population increase.
b) By what percent does the populaiion increase each year?
So the population increases 7.1% each year.
