X=7
You divide 14 by 2 to find the proportion (7) then multiply it by 1 to get the base length of the large triangle since they’re congruent.
Answer:
1. A
2. G
Step-by-step explanation:
1.
In 5 and 6, you see descriptions about leaves and their characteristics. Leaves are not the speaker, the person referenced in the poem is. Since leaves are being described and not the speaker, this means it's describing the setting.
<em>The</em><em> </em><em>answer</em><em> </em><em>would</em><em> </em><em>be</em><em> </em><em>A</em><em>.</em>
2.
You see the herons being described as 'blowing like smoke'. Smoke is swift and fast-moving, so it wouldn't be in the exact same place as before. This fits the description of <em>G</em>, which would be "swift and fleeting".
<em>The</em><em> </em><em>answer</em><em> </em><em>would</em><em> </em><em>be</em><em> </em><em>G</em><em>.</em>
The common point between y = 2x + 5 and y = (1/2)x + 6 will have the same values for x and y.
Therefore, set the two y expressions equal to obtain
2x + 5 = (1/2)x + 6
Subtract (1/2)x from each side.
(3/2)x + 5 = 6
Subtract 5 from each side.
(3/2)x = 1
Multiply each side by 2/3.
x = 2/3.
From the first equation, obtain
y = 2*(2/3) + 5 = 19/3.
The common point is (2/3, 19/3). It is not equal to (3, 1/2).
Answer: False
Answer:
Step-by-step explanation:
Given:
The quadratic function is given as:
The standard form of a quadratic function is given as:
, where, 'a', 'h' and 'k' are real numbers.
Now, in order to convert the given function to standard form, we use completing by square method.
![-x^2+2x=-(x^2-2x)=-[(x-2)^2-2^2]=-[(x-2)^2-4]=-(x-2)^2+4](https://tex.z-dn.net/?f=-x%5E2%2B2x%3D-%28x%5E2-2x%29%3D-%5B%28x-2%29%5E2-2%5E2%5D%3D-%5B%28x-2%29%5E2-4%5D%3D-%28x-2%29%5E2%2B4)
Now, can be rewritten as:
Therefore, the standard form of the function is:
