Answer:
The answer is number 4. 21.3 cm
Step-by-step explanation:
In the picture you can see the draw of the triangle and the formula of the Pythagorean Theorem.
We substitute the values in the Pythagorean Theorem
c² = a² + b²
We clear the equation for b
b² = c² - a²
b² = (24)² - (11)²
b² = 576 - 121
b² = 455
√b² = √455
b = 22.3 cm
Answer:

Step-by-step explanation:
I am solving this using Function Notation.
We are given:

While we are to find:

In Function Notation, replace all the "
" you see with the value you are given.
So, in this case,

Would become

Now we can solve.

Use PEMDAS; Parenthesis first;

Cross divide: 1 cancels 1, -4 ÷ 2 = -2
Hence, we are left with


Therefore, the value of x is -5
Answer:
A) y will increase by 4 unit.
B) y will decrease by 20 units
Step-by-step explanation:
Given equation that shows relation between x and y.

A) If x is increased by 4 units
New value of y = 


So, change in y = new value of y- original value of y



Thus, the value of y will be increased by 4 units.
B) If x is decreased by 5 units
New value of y = 


So, change in y = new value of y- original value of y



= -20
Thus, the value of y will be decreased by 20 units.
Answer:
6
Step-by-step explanation:
75−3.5y−4y=4y+6
Step 1: Simplify both sides of the equation.
75−3.5y−4y=4y+6
75+−3.5y+−4y=4y+6
(−3.5y+−4y)+(75)=4y+6(Combine Like Terms)
−7.5y+75=4y+6
−7.5y+75=4y+6
Step 2: Subtract 4y from both sides.
−7.5y+75−4y=4y+6−4y
−11.5y+75=6
Step 3: Subtract 75 from both sides.
−11.5y+75−75=6−75
−11.5y=−69
Step 4: Divide both sides by -11.5.
−11.5y
−11.5
=
−69
−11.5
y=6
Hope this helps!