Answer:
The answer to your question is: letter A
Step-by-step explanation:
x³ - x² - 14x + 24 = 0
If two is a zero of the polynomial, then x = 2, divide the polynomial by 2.
Synthetic division
1 - 1 - 14 + 24 2
2 2 -24
1 1 -12 0
Result x² + x - 12 = 0
Factor the polynomial, find two numbers that multiply gives -12 and added gives + 1.
These numbers are + 4 and - 3
+4 - 3 = +1
(+4)(-3) = -12
(x + 4) (x - 3) = 0
Finally
(x +4)(x - 3)(x -2) = 0
Answer:
<h2>76</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>given:</h3>
<h3>tips and formulas:</h3>
- this is an isosceles triangle since two sides are equal therefore
- a triangle contains 180°
<h3>let's solve:</h3>
according to the question
2x+2+2x+2+3x+1=180
solve:
- collect like terms:7x+5=180
- substract 5 from both sides:=>7x+5-5=180-5=>7x=175
- divide both sides by 7: =>7x/7=175/7
given:
M∠R=3x+1
substitute the value of x
3×25+1
75+1
76
0.836, 0.683, 0.386, and then 0.3
The required equation of the parabola is (y-5)² = 20(x+2)
<h3>Equation of a parabola</h3>
The standard equation of a parabola is expressed as;
(y-k)² = 4p(x-h)
where;
vertex = (h, k)
focus = (p+k, k)
directrix x = -p + h
Note that the directrix given will determine the type of the equation of a parabola
Given the following parameters
focus = (-2, 5) = (h, k)
x = -p + h
3 = p -2
p = 5
Substitute
(y-k)² = 4p(x-h)
(y-5)² = 4(5)(x-(-2))
(y-5)² = 20(x+2)
Hence the required equation of the parabola is (y-5)² = 20(x+2)
Learn more on equation of parabola here; brainly.com/question/4061870
#SPJ1
Answer:
18/5
Step-by-step explanation:
-3/2 * -5/4
Multiply the numerators
-3*-5 = 15
Multiply the denominators
2*4 =8
The fraction is 18/5
