Answer:
<u>The system has two solutions:</u>
<u>x₁ = 5 ⇒ y₁ = -10</u>
<u>x₂ = -2 ⇒ y₂ = 11</u>
Step-by-step explanation:
Let's solve the system of equations, this way:
y = -3x + 5
y = x ² - 6x - 5
Replacing y in the 2nd equation:
y = x ² - 6x - 5
-3x + 5 = x ² - 6x - 5
x ² - 3x - 10 = 0
Solving for x, using the quadratic formula:
(3 +/- √(9 -4 * 1 * -10))/2 * 1
(3 +/- √9 + 40)/2
(3 +/- √49)/2
(3 +/- 7)/2
x₁ = 10/2 = 5
x₂ = -4/2 = -2
x₁ = 5 ⇒ y₁ = -10
x₂ = -2 ⇒ y₂ = 11
<u>As we can see the system has two different solutions</u>
Answer:
see the explanation
Step-by-step explanation:
Remember that
A proportion is the ratio (quotient) between two numbers
so
Twelve hundredths to three is ----> 
Twenty-four hundredths to eight ----> 
therefore
Twelve hundredths is to three as twenty-four hundredths is to eight

Note The proportion is not true
It is opposite of what the equation is saying. Like if you had to add you would subtract or if you multiply you would divide.
First
angle in front of c is 30°, so hypotenuse is equal to 2c
it's right triangle, so let's use Pythagorean theorem\

Second
b - the base of the triangle, angles at the base are equal ⇒ cathets are equal
it's right triangle, so let's use Pythagorean theorem
