• The equation 9y² + 6ky + 4= 0 has equal roots .
To find :• The value of k.
Solution:• As we know that , For equal roots :
• Discriminant must be equal to zero.
D = b²- 4ac = 0
Here ,
a= 9 , b = 6k , and c = 4 .
=> b²-4ac= 0
=> (6k)² - 4 (9)(4)=0
=> 36k² - 144=0
=> 36k²= 144
=> k²= 144/36
=> k²= 4
=> k = ±2.
Hence ,the option b is correct .
I hope it will help you.
Regards.
Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?
s = side length of square
4s = perimeter of square
L = length of rectangle
W = width of rectangle
P = 2L+2W = perimeter of rectangle
4s = 2L+2W .... since we want the perimeters the same
4s = 2(L+W)
s = 0.5(L+W)
s^2 = (0.5(L+W))^2 ... square both sides
s^2 = 0.25(L+W)^2
The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.
-----------------------------------
The area of the rectangle is LW
Let's subtract this from the area of the square and see what we get
A = area of square = s^2
B = area of rectangle = LW
C = difference in area
C = A - B
C = s^2 - LW
C = 0.25(L+W)^2 - LW
C = 0.25(L^2+2LW+W^2) - LW
C = 0.25L^2+0.5LW+0.25W^2-LW
C = 0.25L^2-0.5LW+0.25W^2
C = 0.25(L^2-2LW+W^2)
C = 0.25(L-W)^2
Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.
So C is always positive as long as [tex]L \ne W[/tex]
If C > 0, and C = A - B, then
C > 0
A-B > 0 .... replace C with A-B
A > B .... add B to both sides
This shows the square area is always larger than the rectangle.
Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.
We make [tex]L \ne W[/tex] to have a nonsquare rectangle.
Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6
Answer:
Examine the diagram. It is not drawn to scale.
A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.
In the diagram shown, m∠1 = 30° and m∠5 = 120°.
What is the sum of the measures of ∠4, ∠5, and ∠6?
✔ 360
degrees
Identify the following angle measures.
m∠2 =
✔ 60
degrees
m∠4 =
✔ 150
degrees
m∠6 =
✔ 90
degrees
Step-by-step explanation:
Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6
I HOPE YOU GET IT RIGHT IK ITS THE ANSWERS I ALWAYS DO IT!!!!!!❤
The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.
What is an angle?An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.
From the diagram:
m∠1 + m∠4 = 180° (sum of angles in a straight line)
30 + m∠4 = 180°
m∠4 = 150°
m∠2 + m∠5 = 180° (sum of angles in a straight line)
120 + m∠2 = 180°
m∠2 = 60°
m∠1 + m∠2 + m∠3 = 180° (sum of angles in a triangle)
30 + 60 + m∠3 = 180°
m∠3 = 90
m∠3 + m∠6 = 180° (sum of angles in a straight line)
90 + m∠6 = 180°
m∠6 = 90°
The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.
Find out more on angle at: https://brainly.com/question/25770607
How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.
Answer:
10
BEEP
BPEE
BEPE
EEPB
EEBP
EBEP
EPEB
PBEE
PEEB
PEBE
Answer:
12
Step-by-step explanation:
4! is 4*3*2*1
since there were 4 letters 4 could be chosen at the first letter
since one of the letters were chosen only 3 could be chosen as the second letter
and then it is 2 because there are 2 letters left
and 1 because there is only 1 letter left
so 4!
Then you divide by 2 because the 2 es are indistinguishable
Fill in the blank for each part below.
1) The slope is...
A. zero
B. Undefined
2) The equation is...
A. y=-1
B. X=-1
Juanita wants to model the equation 3 x + 2 = negative x + 6. She begins with the tiles below. 3 x tiles and 2 positive 1 tiles = 1 negative x tile How can Juanita complete her model? Put 4 yellow unit tiles on the left side of the equal sign. Put 4 yellow unit tiles on the right side of the equal sign. Put 6 green x-tiles on the right side of the equal sign. Put 6 yellow unit tiles on the right side of the equal sign.
Answer:
Put 6 yellow unit tiles on the right side of the equal sign.Step-by-step explanation:
Given the equation that Juanita wants to model expressed by the equation
3 x + 2 = -x + 6
If she begins with 3 x tiles and 2 positive 1 tiles = 1 negative x tile, she will b=need to complete her model with put 6 yellow unit tiles on the right side of the equal sign since the only value left at the right hand side of the equation is positive 6
We can as well calculate the value of x from the expression as shown;
3 x + 2 = -x + 6
collect like terms
3x+x = 6-2
4x = 4
Divide both sides by 4
4x/4 = 4/4
x = 1
Answer:
the answer is D put 6 yellow unit tiles
Step-by-step explanation:
i took the test review and test
-4/7 + (-4/3) HELP ME
Answer:
-40/21
Step-by-step explanation:
(-4/7) + (-4/3) =
First you need to find a common denominator:
(-4/7)(3/3) + (-4/3)(7/7) =
(-12/21) + (-28/21) =
Then combine the two fractions:
(-40/21)
And because you cannot simplify further, you are finished.
What is the inverse operation of addition?
Answer:Inverse operations are opposite operations. Subtraction is the inverse of addition and division is the inverse of multiplication.
Step-by-step explanation:
A line passes through the point (-6,6) and has a slope of 3/2.
Answer:
y=3/2x+15
Step-by-step explanation:
Answer:
y=3/2+15
Step-by-step explanation:
Can someone tell this word please. Identify the vocabulary word that matches the picture.
Answer:
proably and acute angle
Step-by-step explanation:
acute angles are angles that are less than 90 degrees and the picture obviouly shows an angle that is less than 90
Which expressions are equivalent to 5 the power of 18
Answer:
3.8146973e+12
Step-by-step explanation:
you have to do 5x5 18 times to get this answer.
Answer:
The two on the top
how can you write the expression 2 − (p 6) in words? a two minus the sum of p and six b two added to the difference of p and six c the difference of two and p times six d the sum of two and p added to six
Answer:
C
Step-by-step explanation:
2-(p*6)
minus=the difference of
(p*6)=p times 6
Fully written out: The difference of two and p times six
Adrian bought 20 chicken wings for $44.00. How much does each wing cost?
Answer:
my crushes name is Adrian but the answer is $2.20
Step-by-step explanation:
Write an equation for the line that passes through (2,5) and (6,7)
Answer:
[tex]y=\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Find the slope of the line first using the slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute the two given points into this formula.
[tex]\frac{7-5}{6-2} =\frac{2}{4} =\frac{1}{2}[/tex]Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.
Point-slope formula:
[tex]y-y_1=m(x-x_1)[/tex]Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).
[tex]y-(5)=\frac{1}{2} (x-(2))[/tex]Simplify the equation so it's easier to read.
[tex]y-5=\frac{1}{2} (x-2)[/tex]Distribute 1/2 inside the parentheses.
[tex]y-5=\frac{1}{2}x-1[/tex]Add 5 both sides of the equation.
[tex]y=\frac{1}{2}x+4[/tex]Answer:
The slope is the change in y over the change in x.
(7-5) / (6-2) = 2 / 4 = 1 / 2
In y = mx + b, we know y, m, and x. Now solve for b:
Let's use the point (2, 5).
5 = (1/2)(2) + b
5= 1 + b
b = 4
Now put it together:
y = (1/2)x + 4
Step-by-step explanation:
Me after jumping in joy after I found out Netflix is facing criminal charges
lol same tbh even tho ion have netflix anymore
A kennel has 40 dogs and 10 cats. What is the ratio of cats to ALL of
the animals?
Answer:
1:5
Step-by-step explanation:
can someone help me on this question pretty please
Answer:
50 dollars an hour
Step-by-step explanation:
1) 3/7 & -6/7 pls I need answers
Answer:
0.42 & -0.85
Step-by-step explanation:
Write the equation of the line that passes through the points (-3, -7) and (-3,-4) put your answer in fully reduced point slope form unless it is a vertical or horizontal line
Answer:
the equation is x=-3
Step-by-step explanation:
no matter what, the x values are the same, if you have the same values in the same line, it is most likey a vertical line
Can someone please give me a free disney plus account
Answer:
Uh- I cant ;w;
Step-by-step explanation:
Answer:
yes I can if you still want one
Step-by-step explanation:
Find the rate of change in the graph
Answer:
4/3
hope this helped :)
-2, -7, -12,-17, ...
find out the nth term
Answer: -42
Step-by-step explanation:
Add 5 to each number until you reach the ninth term.
Answer:
-42 is the ninth term
Step-by-step explanation:
You need to find patterns in these kinds of problems. What do you do to the number to get to the next one? In this case, you are subtracting 5 from every number to get to the next. Therefore, to get to the ninth number, you must continue the pattern like this:
-2 (now subtract 5), -7 (subtract 5), -12 (-5), -17 (-5), -22 (-5), -27 (-5), -32 (-5), -37 (-5), -42 (-5)
Which equation represents a line parallel to the line shown on the graph. I need this for a test so pls be quick. Last answer choice is y=-1/3x+12
rrange the numbers in decreasing order.
a.
8.508
8.58
7.5
7.058
Answer:
8.58
8.508
7.5
7.058
Step-by-step explanation:
Answer:
8.58, 8.508, 7.5, 7.058
Step-by-step explanation:
Um, I think this means greatest to least.
8.58, 8.508, 7.5, 7.058
Look at the place values.
NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!
THANK YOU ;)
Answer:
Step-by-step explanation:
7 ) -3p=-48
p=-48/-3
p=168) -98=7t
t=-98/7
t=-149) -4.4 y =-4
y=-4/-4.4
y=1.110) 2.8 c=4.2
c=4.2/2.8
c= 1.5A graph of a quadratic function is shown below.
What is the vertex of the parabola shown? (5 points)
A (10, 800)
B (800, 10)
C (30, 0)
D (0, 600)
Using it's concept, it is found that the vertex of the quadratic function is given by:
B (800, 10).
What is the vertex of a quadratic equation?It is the point in which the parabola changes from increasing to decreasing, or vice versa, that is, the point in which it turns.
In this problem, it turns at x = 10 and y = 800, hence option A is correct.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
#SPJ1
Answer:
Step-by-step explanation:
Find the x-intercept of the graph of y = -10x - 36
The x-intercept is_____
The solution of 12x+12=8x is?
Answer:
x = - 3
Step-by-step explanation:
Solve by isolating x on one side of the equation.
12x+12=8x
-12 -12
12x=8x-12
-8x
4x=-12
4x/4=-12/4
x = - 3
dividing a faction by a fraction 3/5 divided 1/3
Answer:
9/5
Step-by-step explanation:
3/5 ÷ 1/3
3/5 ÷ 3/13/5 × 3/1 = 9/59/5
10) Choose the correct answer.
Simple Inequalities:
please help
Answer: your picture doesnt have all the options for the answer but the first two are incorrect. The correct one would have both little dots filled in with black
Step-by-step explanation:
Answer: 3 ≤ x ≤ 7
Step-by-step explanation:
The number line will have a filled in circle at 3 and a filled in circle at 7.
A filled in circle indicates that the number IS a solution.
An open circle indicates that the number is NOT a solution.
Hope this helps!
Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.
Answer:
$216
Step by step
Explanation:
First we subtract $ 20 from $ 84 giving us a total of $ 64 and when we add that to $ 152 we get $ 216
.
Answer:
-60
Step-by-step explanation: