Answer:
y=5x+1
Step-by-step explanation:
step 1
Find the slope of the given line
we have
(0,1) and (5,0)
m=(0-1)/(5-0)
m=-1/5
step 2
Find the slope of the perpendicular line to the given line
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
m1*m2=-1
m1=-1/5
substitute
(-1/5)*m2=-1
m2=5
step 3
Find the equation of the line with slope m=5 and y-intercept (0,1)
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=5
b=1
substitute
y=5x+1
The solutions of the equation x² – 5x – 24 = 0 will be 8 and -3. Then the correct option is D.
<h3>What is a factorization?</h3>
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The quadratic equation is given below.
x² – 5x – 24 = 0
Then the factor of the equation will be
x² – 5x – 24 = 0
x² – 8x + 3x – 24 = 0
x(x – 8) + 3(x – 8) = 0
(x – 8)(x + 3) = 0
x = 8, -3
Then the correct option is D.
More about the factorization link is given below.
brainly.com/question/6810544
#SPJ1
Answer:
Scalene
Step-by-step explanation:
The three angles have different measures, so the sides have different lengths.
Sometimes it's hard not to assume something from a picture. Just because two of the sides look congruent doesn't mean they are. The information in the diagram (and geometry knowledge and logic!) are your guide.
Answer:
<u>[x - (4 + 2√3)] and [x - (4 - 2√3)]</u>
Step-by-step explanation:
Given :
Divide throughout by 3 to simplify :
- 1/3 x (3x² - 24x + 12)
- x² - 8x + 4
Using the Quadratic Formula :
- x = -b ± √b² - 4ac / 2a
- x = -(-8) ± √(-8)² - 4(1)(4) / 2(1)
- x = 8 ± √64 - 16 / 2
- x = 8 ± √48 / 2
- x = 8 ± 4√3 / 2
- x = 4 ± 2√3
Factors are :
- <u>[x - (4 + 2√3)] and [x - (4 - 2√3)]</u>
Answer:
12000
Step-by-step explanation:
Done
