Answers
Answer:
11) k = -112) (i) 4, (ii) 6.5Step-by-step explanation:
11. ......................................................
Given equationx² + (k - 1)x - k = 0The roots are equalTo findThe value of kSolutionWhen the roots are equal, the discriminant equals zero
D = 0b² - 4ac = 0Substituting the values and solving for k:
(k - 1)² - 4*1*(-k) = 0k² - 2k + 1 - 4k = 0k² + 2k + 1 = 0(k + 1)² = 0k + 1 = 0k = -112. ......................................................
Given equation2x² - 6x + 1 = 0The roots are α and βTo findThe values of
(i) 2αβ² + 2α²β + 2αβ(ii) α² - 3αβ + β²SolutionThe sum and the product of the roots is:
α + β = - b/a = - ( - 6)/2 = 3αβ = c/a = 1/2(i)
2αβ² + 2α²β + 2αβ =2αβ ( α + β + 1) = 2(1/2)(3 + 1) =1(4) =4(ii)
α² - 3αβ + β² =(α + β)² - 5αβ = 3² - 5(1/2) =9 - 5/2 =6.5Related Questions
write the linear equation
Answers
Answer:
y = 3/5 +2
Step-by-step explanation:
Joseph drove from Kentucky to Louisiana. It took 35 gallons of gas for him to get there. Gas costs $2.09 per gallon. How much money did Joseph spend on gas?
Answers
35 gallons x $2.09 per gallon = $73.15 for 35 gallons
These two triangles are similar what is the measure of angle M?
Answers
Answer:
30
Step-by-step explanation:
We can ignore the fact they are similar altogether. It's known that all 3 angles of a triangle add up to 180, so:
180=102+48+m
180=150+m
30=m
Answer:
A. 30 degrees
Step-by-step explanation:
They are similar aka the same or congruent and since you know all three angles you just match them up.
2. She needs 4.5 ounces of crickets for each snake. How many ounces of
crickets are needed if the number of snakes is:
a. 10
b. 6
C. X
Answers
Answer:
a. 45 ounces
b. 27 ounces
c. 4.5x ounces
Step-by-step explanation:
a. 4.5(10) = 45
b. 4.5(6) = 27
c. 4.5(x) = 4.5x
Can someone please help?
What property goes on the right side?
example: addition, subtraction, etc.
Answers
Answer:
3. definiton of angle bisector
4. substitution property (of equality)
5. 2x+14=34
5. subtraction property of equality
6. 2x = 20
6. subtraction property of equality
-3y-3x=-3
plz help me
Answers
Answer:
y = -x + 1
Step-by-step explanation:
-3y - 3x = -3
Add 3x
-3y = 3x - 3
Divide by -3
y = -x + 1
What is the scale factor?*
A
7
6
5
5
30
С
3
3
2.
В"
-10
2
3
5
6
78
9 10 11 12 13
-2
-3
Answers
Answer:
Scale factor is 3
Step-by-step explanation:
The distance in A and B is 2
The distance in A' and B' is 6
6/2=3
Enter an equation in standard form to model the linear situation. A bathtub that holds 42 gallons of water contains 12 gallons of water. You begin filling it, and after 5 minutes, the tub is full.
Answers
Answer:
5x+12y= 42
Step-by-step explanation:
Find the measure of the missing angle.
45 degree angle
X=-8
Answers
Answer:
47238
Step-by-step explanation:
A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
[tex]Volume = 18312.48[/tex]
Step-by-step explanation:
Given
[tex]Height (h) = 18mm[/tex]
[tex]Radius (r) = 18mm[/tex]
Required
Determine the volume
The volume of a cylinder is calculated as thus:
[tex]Volume = \pi r^2h[/tex]
Substitute values for r and h
[tex]Volume = 3.14 * 18^2 * 18[/tex]
[tex]Volume = 18312.48[/tex]
Hence, the volume of the cylinder is 18312.48mm³
i have no idea how to solve this. please help?
Answers
π=C/2r
Is 78 − –5 positive or negative?
Answers
Answer: it would be a positive
Answer:
the answer is positive because 78 is bigger than -5
Step-by-step explanation:
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus 7 right-parenthesis.(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
Answers
Answer:
A and D
Step-by-step explanation:
I took the assignment
Answer:
a, d
Step-by-step explanation:
What is 83 1/3% of 30
Answers
step by step explanation:
yw
hope this helps
give brainliest plz
Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. X=2y-7 and 4x+y=71
Answers
Answer:
(15, 11).
Step-by-step explanation:
Given the system of equation;
X=2y-7 ..... 1
4x+y=71 ....2
Substitute 1 into2;
4(2y-7) + y = 71
8y - 28 + y = 71
9y - 28 = 71
9y = 71 + 28
9y = 99
y = 11
Substitute y = 11 into 1;
x = 2y - 7
x = 2(11)-7
x = 22-7
x = 15
hence the solution to the equation is (15, 11).
Marie can find the volume of a cube by using the formula V = 53, where s represents the side length of the cube. If Marie's
cube has a side length of 2 centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction.
Answers
Answer:
The volume of her cube is 15.625cm^3
Step-by-step explanation:
The formula V = s³, where s represents the side length of the cube.
Can Somone please help me i give you 20 points for the correct answer please help me.
Answers
how many 4-digit number are divisible by 7,8,10 and 25
Answers
9514 1404 393
Answer:
7
Step-by-step explanation:
In order for a number to be divisible by all of 7, 8, 10, and 25, it must be a multiple of the least common multiple of those numbers.
LCM(7, 8, 10, 25) = 7×8×25 = 1400
There are floor(10,000/1,400) = 7 4-digit numbers divisible by 7, 8, 10, and 25. They are ...
1400, 2800, 4200, 5600, 7000, 8400, 9800
The triangles in the picture are congruent by which method.
Answers
Explanation:
Check out the diagram below. I've marked the angles that pair up which are congruent to one another. Note the order is important. The AAS rule is different from ASA. In the diagram, the green segments are not between the red and blue angles.
Note: the blue angles are congruent by the vertical angle theorem.
pleaseee help....leave an explanation if you can
Answers
Answer:
A and B
Step-by-step explanation:
Looking at A it is 2/8. If you divide both numbers by the top, which is two, it would become 1/4.
For B, if you divide both numbers by 4 it will also become 1/4.
what is the slope of the line that passes through the points
(5,1) and (2,-7)
A.) 3/8
B.) -8/3
C.) 8/3
D.) -3/8
Answers
Slope is the change in y over the change in x:
Slope = (-7 - 1) / (2 - 5)
Slope = -8/-3
Slope = 8/3
(-7-1)/(2-5) = -8/-3
It would be C. 8/3
Angelina paid $6.60 for a dozen cupcakes for a birthday party. What is the unit cost for each cupcake? *
Answers
Answer:
the answer would be 1.82
Step-by-step explanation:
it is this answer because you have to see how much money goes into one cupcake which to put stuff into different places you have to divide 12/6.60
Answer:
$0.55 Hope this helps!!!!!!!
Step-by-step explanation:
Remember that is that a dozen is equal to 12.
12x= 6.60
/12 /12
x=.55
3. Determine whether these two lines are parallel, perpendicular, or neither. 1 point
8x + y = 7, 4x + 3y = 12 *
parallel,
perpendicular or
neither
Answers
Answer:
The two lines are neither
Step-by-step explanation:
Parallel lines have equal slopes and different y-interceptsPerpendicular lines have a product of their slopes = -1The slope of a line whose equation is ax + by = c is m = [tex]\frac{-a}{b}[/tex]∵ The equations of the lines are
8x + y = 7 ⇒ 1st4x + 3y = 12 ⇒ 2nd∵ In the 1st equation a = 8 and b = 1
∴ m1 = [tex]\frac{-8}{1}[/tex] = -8
∴ The slope of the 1st line is -8
∵ In the 2nd equation a = 4 and b = 3
∴ m2 = [tex]\frac{-4}{3}[/tex]
∴ The slope of the 2nd line is [tex]\frac{-4}{3}[/tex]
→ By using the facts above
∵ m1 ≠ m2
∴ The two lines are not parallel
∵ m1 × m2 = -8 × [tex]\frac{-4}{3}[/tex] = [tex]\frac{32}{3}[/tex]
∴ m1 × m2 ≠ -1
∴ The two lines are not perpendicular
∴ The two lines are neither parallel nor perpendicular
If a number is divisible by 3, then its odd
Answers
Answer:
and? obviously bc 3 isnt a even number so then the answer wont be even
Ethan has some money in his savings account when he starts his new job as a Jimmy John's delivery guy. After starting, he decides to save the same amount from his paycheck each month. After 3 months, Ethan has 560 dollars in his savings, and after 6 months, he has 920 dollars. Find an equation that gives the amount saved ("y") after "x" months.
Answers
Answer:
y = 360x+200
Step-by-step explanation:
We will use the concept of finding the equation of a line using two coordinates (x1,y1) and (x2,y2)
If after 3 months, ethan has 560 dollars in his savings, and after 6 months, he has 920 dollars, this can be represented as coordinate points (3,560) and (6,920)
The equation of a line in point slope form is expressed as;
y = mx+c
m is the slope = ∆y/∆x = 920-560/6-3
m = 360/3
m = 120
Get the intercept;
Substitute m = 120 and any of the points to get c, using the point (3,560)
x = 3, y = 560
560 = 120(3)+c
560 = 360+c
c = 560-360
c = 200
Get the required equation by substituting m and c into y = MX+c
y = 360x+200
How did the Pan-African movement lay the foundation for Kenya's independence in 1963?
Answers
Answer:
The British controlled Africa, but feelings of nationalism started by the pan Africa movement lead to more and more people in Africa wanting their independence. ... Nationalism lead to the Kenyans feeling that their land was taken unfairly. Eventually, conflict led to independence.
Step-by-step explanation:
What theorems can be used to prove the triangles are congruent?
SSS
ASA
AAS
HL
Answers
Answer:
1.) SAS | 2.) HL | 3.) HL | 4.) SSS (Not too sure about this one)
Step-by-step explanation:
A family has completed 50% of a trip and they have traveled 10 miles. How long is the trip?
Answers
Answer: 20 miles? lol
Step-by-step explanation:
Explanation:
50% of 20 is 10.
10 + 10 = 20.
Juan reads 300 pages 5 days which reading rate is equivalent
Answers
It is shown that One is reading 300 pages in five days so we need to find a reading rate which would be the total number of pages one reads over the number of days so the substitute does values by doing 300/5 you would get 60 pages per day
3/4 divided by 2/3 in simplest form
Answers
Answer:
1 1/8
Step-by-step explanation:
1. Keep, change, flip
3/4 x 3/2
2. Multiply
3/4 x 3/2= 9/8
3. Simplify
9/8= 1/18