Answer:
Step-by-step explanation:
They are equivalent. Use the distributive property.
3(x+3)
the 3 on the outside of the parenthesis is multiplied by the variable(the letter) and thenthe constant(number) inside the parenthesis.
makes and equivalent equation 3x+9
Answer:
Yes , it is possible (see the explanation)
Step-by-step explanation:
we know that
In a right triangle, we have two complementary angles (their sum equal to 90 degrees)
so
If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa
<em>Example</em>
Suppose we have the right triangle ABC
The measure of angle C is 90 degrees
A and B are complementary angles
A+B=90°
therefore
sin(A)=cos(B)
sin(B)=cos(A)
Answer:
Step-by-step explanation:
1) 6 and -5
x₁ + x₂ = 6 +(-5) = 1
x₁* x₂ = 6*(-5) = -30
x² -(x₁ + x₂)x + (x₁* x₂)=0
x² - x - 30 = 0
2) 4 and 7
x₁ + x₂ =4 + 7 = 11
x₁* x₂ = 4*7 = 28
x² - 11x + 28 = 0
3) 1 and -10
x₁ + x₂ = 1 +(-10) = -9
x₁* x₂ = 1*(-10) = -10
x² - 9x - 10 = 0
4) -9 and 0
x₁ + x₂ = -9 + 0 = -9
x₁* x₂ = 0
x² - (-9)x = 0
x² + 9x = 0
5)2 and 6
x₁ + x₂ = 2 + 6 = 8
x₁* x₂ = 2*6 = 12
x² -8x + 12 = 0
8) 2 +√3 and 2 - √3
x₁ + x₂ = 2+ √3 + 2 - √3 = 4
x₁* x₂ = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1
x² - 4x + 1 = 0
Answer:
The least common denominator is (b-8)(b+8)(b-1)
Step-by-step explanation:
We are given expression as

Firstly, we will factor both denominators


so, we can plug it back

First term denominator is
(b-8)(b+8)
Second term denominator is
(b+8)(b-1)
So,
Least common denominator will be
(b-8)(b+8)(b-1)
So, we get

Answer:Let's assume x be the smaller number.
Given that, The greater number is 4 more than the smaller number.
So, greater number= x+4.
It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,
x + (x + 4) = 52
Step-by-step explanation: