Given that these triangle are right triangles, we use the Pythagorean theorem to calculate the missing lengths which is c and it is the hypotenuse. We calculate as follows:
<span>a = 7.5 cm, b = 10.6 cm
c</span>² = a² + b²
c² = 7.5² + 10.6²
c = 12.98<span>
a = 13 cm, b = 7.5 cm
</span>c² = a² + b²
c² = 13² + 7.5²
c = 15.00<span>
a = 7.5 cm, b = 13 cm
</span>c² = a² + b²
c² = 7.5² + 13²
c = 15.00<span>
a = 5 cm, b = 13 cm
</span>c² = a² + b²
c² = 5² + 13²
c = 14
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Explanation:
In one minute, Diego can type 35 words;140÷4
At this rate, it will take him 11 minutes to type 385 words;385÷35
Therefore, he can type 525 words in 15 minutes; 35×15
is a difference of squares with a factor 2x+5
because when we factorize we get
The transformations are needed to transform the graph of f(x) to the graph of g(x) are:
vertical translation 1 unit up ⇒ 2nd answer
horizontal translation 5 units left ⇒ 4th answer
Step-by-step explanation:
Let us revise the translation:
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ f(x) = 8x
∵ g(x) = (8x + 5) + 1
- From the notes above translation to the left h units added x by h
∵ 8x is added by 5
∴ f(x) translated 5 units to the left
- From the notes above translation up k units added f(x) by k
∵ f(x) is added by 1
∴ f(x) translated 1 unit up
The transformations are needed to transform the graph of f(x) to the graph of g(x) are:
vertical translation 1 unit up
horizontal translation 5 units left
Learn more:
You can learn more about translation in brainly.com/question/2451812
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