Answer:
m=5
Step-by-step explanation:
1. Convert the logarithm into exponential form using the fact that (x)=b is equal to x=
so ... 4m-10=
2. Any expression raised to the power of 1 equals itself so ... 4m-10=10
3. Move the constant to the right-hand side and change its sign so ... 4m=10+10
4. Add the numbers so ... 4m=20
5. Divide both sides of the equation by 4 so ... m=5, m>
6. Check if the solution is in the defined range so ... m=5
Answer: C: 12-7x
Step-by-step explanation:
This expression is a good example of the difference of two squares, as 144 is the square of 12, while 49x² is the square of 7x.
Any difference of two squares can be factored into the sum of their square roots times the difference of their square roots
.
Let's factor our expression.
Out of all the options given, only is a factor. Hence, option C is correct.
<u>Answer:</u> The ratio that represents the cosine of ∠T is
<u>Step-by-step explanation:</u>
We are given:
UV = 56 units
VT = 33 units
UT = 65 units
∠V = 90°
Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.
Base of the triangle is UV and the hypotenuse of the triangle is TU
Putting values in above equation, we get:
Hence, the ratio that represents the cosine of ∠T is
