Answer:
Step-by-step explanation:
First we can determine the x value of our vertex via the equation:

Note that in general a quadratic equation is such that:

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.
Therefore we can determine the x component of the vertex by plugging in the values known and so:

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:
x=-3
Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:
y=4
The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:
Range = All real numbers greater than or equal to 4.
Step-by-step explanation:
The answer is consistent
Answer:
<h3>
Lucas and Zoe will both next visit their mother on 7th of May at the same time.</h3>
Step-by-step explanation:
<em>First</em><em>,</em><em> </em><em>find </em><em>the </em><em>first</em><em> </em><em>multiple </em><em>that </em><em>can </em><em>be </em><em>divisible </em><em>by </em><em>5</em><em> </em><em>and </em><em>8</em><em>:</em>
<em>4</em><em>0</em><em> </em><em>is </em><em>divisible </em><em>by </em><em>5 </em><em>and </em><em>8</em><em>.</em>
<em>Second</em><em>,</em><em> </em><em>find </em><em>the </em><em>days </em><em>in </em><em>April </em><em>and </em><em>subtract </em><em>7</em><em> </em><em>from </em><em>the </em><em>days:</em>
<em>April</em><em>=</em><em>3</em><em>0</em><em> </em><em>days</em><em>.</em>
<em>3</em><em>0</em><em>-</em><em>7</em><em>=</em><em> </em><em>2</em><em>3</em><em> </em><em>days</em><em>.</em>
<em>Finally,</em><em> </em><em>subtract </em><em>2</em><em>3</em><em> </em><em>from </em><em>4</em><em>0</em><em> </em><em>and </em><em>find </em><em>it </em><em>in </em><em>the </em><em>next </em><em>month</em><em>,</em><em> </em><em>which </em><em>is </em><em>May</em><em>:</em>
<em>4</em><em>0</em><em>-</em><em>2</em><em>3</em><em>=</em><em>1</em><em>7</em>
<em>Therefore</em><em>,</em><em> </em><em>they </em><em>will </em><em>both </em><em>next </em><em>visit </em><em>their </em><em>mother </em><em>on </em><em>the </em><em>7</em><em>t</em><em>h</em><em> </em><em>of </em><em>May.</em>
A. Since the rectangle can hold about three of those circles on the side, the area is 5x12=60. And since it gives you have the area of the circle, multiply by 2 so it would be 8. Therefore, 8+8+60=76, so it is 76 cm in total.
B. Since the rectangle can hold about three circles on the side the area is 6x3=18. And since it gives you the area of half the circle, multiply it by 2 so it would be 4. Therefore, 4+4+18=26 cm in total.
C. Since the rectangle can hold about three circles on the side the area is 6x6=36. And since it gives you the area of half the circle, multiply it by 2 so it would be 4. Therefore, 4+4+36=44 cm in total
Finally, A. Since in the beginning you multiply 4 by 3. Therfore your answer which is 72 must be multiplied by 2. So the answer is 144.
B.Since in the beginning you multiply 2 by 3. Therfore your answer which is 26 must be multiplied by 2. So the answer is 52.
C.Since in the beginning you multiply 2 by 3. Therfore your answer which is 44 must be multiplied by 2. So the answer is 88.
In the Final analysis, A. 144 cm, B. 52 cm, and C. 88cm
Answer:
Maybe it is this answer
Step-by-step explanation:
I disagree because if both number are the same so how would they be different heights if the both triangles have the same numbers 7,5,5 and 7,5,5 so none are the same height.