Pleaseeee help!!!! I will mark you as brainlinest for correct answer!!!!!!!
1 answer:
You might be interested in
<h2>Answer:</h2>
The statement which best describes the effect of replacing the function f(x) with g(x) is:
The graph shifts 7 units up.
<h2>Step-by-step explanation:</h2>The function f(x) is given by :
The function f(x) is a linear function with positive slope.
and the function g(x) is given by:
The function g(x) is a linear function with same positive slope.
Also, we know that any transformation of the type:
f(x) → f(x)+k
is a translation transformation such that it if k>0 then it is a shift k units upwards and if k<0 then it is a shift k units downward.
Here we have:
g(x)=2x+5-2+2
i.e.
g(x)=2x-2+7
i.e.
g(x)=f(x)+7
Hence, the function g(x) is a translation of the function f(x) 7 units upward.
Answer: The length of the hypotenuse is 26 cm
Step-by-step explanation: Please refer to the attached diagram
The triangle ABC is drawn as described such that the right angle is at point C and line AB is the hypotenuse which is yet unknown.
Since we have a right angled triangle with two sides known and one unknown, we can apply the Pythagoras theorem which states that
AC² = AB² + BC² where AC is the hypotenuse and AB and BC are the other two sides
In this question the hypotenuse is AB, so we now have;
AB² = AC² + CB²
AB² 24² + 10²
AB² = 576 + 100
AB² = 676
Add the square root sign to both sides of the equation
√AB² = √676
AB = 26
Therefore the length of the hypotenuse is 26 cm
