If a-b, a+b are the zeros of x^2-4x+3 then (a, b) =
A) (3, 1)
B) (-3,-1)
C) (2, 1)
D) (-2,-1)
Answers
α - β , α + β are the zeroes of x² - 4x + 3.
Find:The coordinates of (a,b)
Solution:(Let a = α & b = β).
On comparing with standard form of a quadratic equation i.e., ax² + bx + c = 0 ;
Let ;
a = 1
b = - 4
c = 3.
We know that,Sum of the zeroes = - b/a
⟹ α - β + α + β = - ( - 4)/1
⟹ 2α = 4
⟹ α = 4/2
⟹ α = 2
And,
Product of the zeroes = c/a
⟹ (α - β) * (α + β) = 3/1
(a + b) * (a - b) = a² - b².
⟹ α² - β² = 3
Putting the value of α we get,
⟹ (2)² - β² = 3
⟹ 4 - 3 = β²
⟹ 1 = β²
⟹ √1 = β
⟹ 1 = β
∴(a , b) = (α , β) = (2 , 1). (Option - C).
I hope it will help you.
Regards.
Answer:
Siso your answer refer in pic
Related Questions
supercalifragilisticexpialidocious and the meaning of life
correlation?
yes.
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Complete to solve 73+17.
Answers
Answer:
90
Step-by-step explanation:
Hope it helps
What is the measurement for angle C?
Answers
Answer:
40
Step-by-step explanation:
i Think it would be 40 because 90 would make a square in the corner and it you bend it to half of that it would be 45 but its smaller so it would be 40. Hope this helped
Answer:
50 degrees
Step-by-step explanation:
Tge total angle in a triangle is 300 degrees
angle at A is 40 degrees
angle at B is 90 degrees(because it is right angled triangle and and the angle is 90 degrees)
<A+<B+<C=180
40+90+<C=180
<C=50
helpp idk what to do
Answers
Answer:
your answer is 0101
Step-by-step explanation:
Answer:
the answer is 0101 (B)
9. A line passes through (-4,-6) and (4, 10). What is the slope?
Answers
Answer: the slope is 2 :)
Step-by-step explanation:
answer:
2
Step-by-step explanation:
-4 | 4
-6 | 10
-4 to 4 is 8
-6 to 10 is 16
(usually add the two together to get your answer)
Ferdinand Freight Company charges a flat rate of $200 plus $0.75 per pound to transport freight in
the metro area. This cost is represented by the function below where w is the weight of the freight
in pounds and c(w) is the cost given the weight of the freight
c(w) = 200+ 0.750
Answers
Answer:
$1325
Step-by-step explanation:
c(w) = 200 + 0.75w
c(1500) = 200 + 0.75(1500)
c(1500) = 200 + 1125
c(1500) = 1325
Evaluate and solve for the variable and show your work please.
x – 7 = 4 + 10
12 – c = 8
–4 – 10 = 4y + 3y
–42 + 20 = –2x + 13x
Answers
c=4
x=-2
I have attached the worked out problems as well hope it helps!
x – 7 = 4 + 10 (x=21)
x−7=4+10
x+−7=4+10
x−7=(4+10)(Combine Like Terms)
x−7=14
x−7=14
Step 2: Add 7 to both sides.
x−7+7=14+7
x=21
---------------------------------------------------
12−c=8 (c=4)
12+−c=8
−c+12=8
Step 2: Subtract 12 from both sides.
−c+12−12=8−12
−c=−4
Step 3: Divide both sides by -1.
−c
−1
=
−4
−1
c=4
----------------------------------
−4−10=4y+3y (y=−2)
−4+−10=4y+3y
(−4+−10)=(4y+3y)(Combine Like Terms)
−14=7y
−14=7y
Step 2: Flip the equation.
7y=−14
Step 3: Divide both sides by 7.
7y
7
=
−14
7
y=−2
------------------------------------
-42=20=-2=13x (x=−2
Simplifying
-42 + 20 = 2x + 13x
Combine like terms: -42 + 20 = -22
-22 = 2x + 13x
Combine like terms: 2x + 13x = 15x
-22 = 15x
Solving
-22 = 15x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15x' to each side of the equation.
-22 + -15x = 15x + -15x
Combine like terms: 15x + -15x = 0
-22 + -15x = 0
Add '22' to each side of the equation.
-22 + 22 + -15x = 0 + 22
Combine like terms: -22 + 22 = 0
0 + -15x = 0 + 22
-15x = 0 + 22
Combine like terms: 0 + 22 = 22
-15x = 22
Divide each side by '-15'.
x = -1.466666667
Simplifying
x = -1.466666667
Which linear function shows a direct variation?
Graph A
Graph B
5
5
4
4
3
3
2
2
1
-5-32
1
2
3
4
5
х
-5 -4 -3 -2 -11
1 2 3
4 5 x
-2
-3
4
-5
-5
Graph C
Graph D
Answers
Answer:
the answer to your question is graph d
Graph (d) represents a direct variation
For the graph of a linear function to represent direct variation, then the following must be true
The graph must pass through the originThe graph must represent a linear functionFrom the list of options, the graph that have the above highlights is graph (d)
Hence, graph (d) represents direct variation
Read more about direct variations at:
https://brainly.com/question/6499629
A rectangular tank has dimensions 4.5cm by 6cm by 8cm.it is filled with water to the brim,if 58m of water is used how much water is left in the tank?
Answers
Answer:
158m3
Step-by-step explanation:
find the volume which is l×w×h
4.5×6×8=216m3-58=158m3
1) During second period, Jakhari completed a grammar worksheet. Of the 44
questions, Jakhari got 75% right. How many questions did Jakhari get right
known
Answers
Answer:
33
Step-by-step explanation:
75% is 3/4. 3/4 of 44 is 33.
Work out the answers to:
a) 4-7
b) (-3) + 8
c) 9-11
d) (-2) -4
Answers
Answer:
-3, 5, -2, and 2
Step-by-step explanation:
4-7 is like 7-4 and the answer you get you add a negative sign
-3+8. On a number line its 5, you move to the right because its adding, and get 5.
9-11, again on a number line, this time move to the left, because subtraction, and get -2
-2-(-4). On a number line, start at -2. Move 4 to the left, subtraction, and get -6
Answer:
the last one is wrong on their one so the correct answer is -6
Step-by-step explanation:
chilling with 20 points anyone who puts a funny story in there answer will get brainliest
Answers
Once, I was in the store with my little sister and she fell and we both started to laugh. Then this one dude saw her and helped her and she stopped laughing and when he left, she started laughing and then farted while the cute boy was still in our aisle. So we took off running and laughing.
The temperature on Wednesday evening was -5° Fahrenheit. The temperature decreased another 8° throughout the night. What was the temperature on Thursday morning? Justify your reasoning.
Answers
Answer:
The temperature on Thursday morning would be -13° Fahrenheit
Step-by-step explanation:
We start off with -5. In our situation the temperature DECREASES by 8 which means we must subtract.
-5 - 8 = -13
One group who studies milk says about 70 percent of milk purchased in schools is flavored. Let's say that a school sells 290 cartons of milk at lunch time. According to the group, how many of those cartons likely contain flavored milk?
Answers
HELP ME, PLEASE. 100 POINTS
find x:
[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]
Answers
Answer:
x=2
Step-by-step explanation:
Answer:
[tex] \huge \boxed{ \boxed{ \tt x = 2}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:equationgiven:[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]to solve:xlet's solve:[tex] \sf rewrite \: (x - 1) \sqrt{ {x }^{2} - 2x + 4} \: as \: (x - 2)( \sqrt{ {x}^{2} - 2x + 4 } ) + (x + 1) ( \sqrt{ {x}^{2} - 2x + 4}) : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)( \sqrt{ {x}^{2} - 2x + 4)} + (x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex][tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex][tex](x - 2) \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} = 0[/tex] [tex] \sf \: divide \: both \: sides \: by \: \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} : \\ x - 2 = 0[/tex][tex] \therefore \: x = 2[/tex]jaun painted 4 portraits in 20 minutes. at that rate how many would he paint in 3 hours
Answers
Answer:
36 portraits
Step-by-step explanation:
4 portraits per 20 minutes. 20 minutes x 9= 3 hours. 9x4 portraits=36 portraits.
Answer:
48 portraits
Step-by-step explanation:
He can do 4 in 20 minutes. So, first figure out how many he can do in an hour. That's another 40 minutes. 40 minutes he does 8 portraits. So, 8 portraits plus 4 portraits is 16. That's one hour of painting. 16 portraits times 3 is 48, which is the amount he would paint in three hours.
Larry Mitchell invested part of his advance at annual simple interest and the rest at annual simple interest. If his total yearly interest from both accounts was , find the amount invested at each rate. The amount invested at is $ nothing. The amount invested at is $ nothing.
Answers
Complete question :
Larry Mitchell invested part of his $32000 advance at 4% annual simple interest and the rest at 9% annual simple interest. If his total yearly interest from both accounts was 2430, find the amount invested at each rate. The amount invested at is $ nothing. The amount invested at is $ nothing.
Answer:
Investment at 4% = $9000
Investment at 9% = $23,000
Step-by-step explanation:
Given that :
Total investment = 32000
Let;
amount invested at 4% = a
amount invested at 9% = 32000 - a
Total interest earned = 2430
Simple interest = principal * rate * time
Investment at 4%:
(a * 0.04) + [(32000 - a) * 0.09] = 2430
0.04a + 2880 - 0.09a= 2430
-0.05a + 2880 = 2430
-0.05a = 2430 - 2880
-0.05a = - 450
a = 9000
Hence,
Investment at 4% = $9000
Investment at 9% = $32,000 - $9000 = $23,000
Lin’s father is paying for a $20 meal. He has a 15%-off coupon for the meal.
a. What is the price for the meal?
Answers
Answer:
$17
Step-by-step explanation:
15×20=300
300÷100=3
20-3=17
Answer:
The bill would be $17
Step-by-step explanation:
Simplify 3(x-5)+8x+1
Answers
Answer: 11x-14
Step-by-step explanation:
a lawn care company charges an initial fee of 15$ and a $9 per hour to perform services. Write an equation to represent the cost )c) of the service as a function of horse (h). Explain in context the meaning of c(3) = 42
Answers
Answer:
see below
Step-by-step explanation:
The cost to care care for the lawn in terms of h hours is
c(h) = 15 + 9h where h is the number of hours
c(3) means that for 3 hours the cost is 42 dollars
PLEASE HELP 15 POINTS The sum of the measures
of seven out of ten angles
in a decagon is 1086°. If the
three remaining angles are
equal in measure, what is the
measure of each angle?
Answers
Answer:
118
Step-by-step explanation:
1440-1086= 354
354/3=118
The measure of each angle is 118 degrees
The given parameters are:
Shape: DecagonSeven angles add up to 1086The remaining three angles are congruentThe sum of interior angles of a decagon is 1440.
Let each of the remaining three angles be represented with x.
So, we have:
[tex]1086 + 3x = 1440[/tex]
Collect like terms
[tex]3x = 1440 - 1086[/tex]
[tex]3x = 354[/tex]
Divide both sides by 3
[tex]x = 118[/tex]
Hence, the measure of each angle is 118 degrees
Read more about polygons at:
https://brainly.in/question/5173910
what is the reflection of (0,3) over the x axis
Answers
Answer:
ihkfdrjnhgbunt ui hvi8thugh ugood job :3
Step-by-step explanation:
What is the equation of the line that passes through the point (-4,4) and has a slope of \frac{3}{4} ?
Answers
Answer:
y=3/4x+7
Step-by-step explanation:
Point Slope Formula: y=m(x-x1)+y
y=3/4(x+4)+4
3/4x+3+4
y=3/4x+7 (y=mx+b)
Calculate each of the following segment lengths given the diagram below.
Answers
Where is (-2.5, -2) located on the coordinate plane?
Answers
Answer: It is located in quadrant III (3) of the coordinat plain
Step-by-step explanation:
You can use the negative numbers to find their placement. if there are no negative numbers, it’s in quadrant I (1). If there‘s a negative number for the Y-coordinate, then it’s in quadrant II (2). If there are 2 negative numbers, it’s in quadrant III (3). And if there’s a Negative number for the X-coordinate, it’s in quadrant IV (4).
10. Which of the following is equivalent to 432 X 15? Oh
Answers
Answer:
The answer is 6,480 if im correct
1. K + 12 > 20, if k = 15
true or false
Answers
Answer:
true
Step-by-step explanation:
A cook has 14.62 pints of olive oil before the dinner service. There were 8.3 pints of olive oil used during the dinner service.
What amount of olive oil is left after the dinner service, with the correct number of significant digits?
Answers
Answer:
6.32
Step-by-step explanation:
i need help please
Answers
Answer:
same
Step-by-step explanation:
Answer:
-7.25 I think
Step-by-step explanation:
-14.5 divided by 2 equals-7.25
Please help !!! I suck at math
Answers
Answer:
IT'S C pls like
Step-by-step explanation: