The perimeter of a square and rectangle are equal . If the square has a side length of 24m and the breadth of the rectangle is 1
1 answer:
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The product of 8 and 5/7 is 5.7
<u>Step-by-step explanation:</u>
The given product is .
<u>In the product, two terms are given :</u>
- The first term 8 is a whole number.
- The second term 5/7 is a fraction.
1) So, to find the product of the first term and the second term, one method is to simplify the fraction into decimal number and then perform multiplication operation.
2) Either you can multiply the two terms in the first step and then the division operation is performed at the final step.
<u>First method :</u>
<u><em>Step 1 :</em></u> Convert the fraction into decimal
⇒ 5/7 = 0.71
<u><em>Step 2 :</em></u> Multiply the result with the other term.
⇒ 8 × 0.71
⇒ 5.68 (approximately 5.7)
<u>Second method :</u>
<u><em>Step 1 :</em></u> Multiply both the terms
⇒ 8 ×(5/7) = 40/7
<u><em>Step 2 :</em></u> divide 40 by 7
⇒ 40÷ 7 = 5.7
Therefore, the product of 8 and 5/7 is 5.7
Step One
Use the vertex to determine the basic equation for the parabola.
y = a(x - 2)^2 + 7 Notice the sign change for x. I have provided a graph to show how this would look with a = 1 (in red.)
What it means is the 2 has to be minus in order that the vertex will shift 2 units in the x direction.
Step Two
Use the point to solve for a.
y = a(x - 2)^2 + 7
When x = - 1
Then y = 3
3 = a(-1 - 2)^2 + 7 combine -1 with - 2
3 = a (-3)^2 + 7
3 = 9a + 7 Subtract 7 from both sides
3 - 7 = 9a
-4 = 9a Divide by 9.
a = -4/9
or
a = - 0.4444
y = -0.4444(x + 2)^2 + 7 <<<<< answer
y = - 4/9 (x + 2)^2 + 7
Note: if you have choices, list them please.
Note: The red graph is y = (x - 2)^2 + 7 ; a = 1
The blue graph is y = - 4/9(x - 2)^2 + 7 ; a = - 0.44444
You should notice that the a does 3 things to the graph. Before you read the answer, what are those three things? The answer is in the comments.
Use the vertex to determine the basic equation for the parabola.
y = a(x - 2)^2 + 7 Notice the sign change for x. I have provided a graph to show how this would look with a = 1 (in red.)
What it means is the 2 has to be minus in order that the vertex will shift 2 units in the x direction.
Step Two
Use the point to solve for a.
y = a(x - 2)^2 + 7
When x = - 1
Then y = 3
3 = a(-1 - 2)^2 + 7 combine -1 with - 2
3 = a (-3)^2 + 7
3 = 9a + 7 Subtract 7 from both sides
3 - 7 = 9a
-4 = 9a Divide by 9.
a = -4/9
or
a = - 0.4444
y = -0.4444(x + 2)^2 + 7 <<<<< answer
y = - 4/9 (x + 2)^2 + 7
Note: if you have choices, list them please.
Note: The red graph is y = (x - 2)^2 + 7 ; a = 1
The blue graph is y = - 4/9(x - 2)^2 + 7 ; a = - 0.44444
You should notice that the a does 3 things to the graph. Before you read the answer, what are those three things? The answer is in the comments.