Answer:
k=3 is your answer
Step-by-step explanation:
given equation :
9x²+12xy+(k+1)y²=0
comparing above equation with
ax²+2hxy+by²
we get
a=9
h=12/2=6
b=k+1
since lines are coincident
ø=0
Tan0=±[2√(h²-ab)]/(a+b)
we get
h²=ab
6²=9(k+1)
36/9=k+1
4=k+1
k=4-1=3
The value of k will be;
⇒ k = 3
What is Equation of line?The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The pair of equation is,
⇒ 9x² + 12xy + (k + 1)y² = 0
Now,
We know that;
The condition of coincide of pair of line ax² + 2hxy + by² = 0 is,
⇒ h² = ab
So, For the equation of the pair of line 9x² + 12xy + (k + 1)y² = 0, we have;
⇒ 2h = 12
⇒ h = 6
⇒ a = 9
⇒ b = (k + 1)
Substitute all the values in given condition for coincide , we get;
⇒ h² = ab
⇒ 6² = 9 (k + 1)
⇒ 36/9 = k + 1
⇒ 4 = k + 1
⇒ k = 4 - 1
⇒ k = 3
Thus, The value of k = 3
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Find the value of x that makes the equation true.
2[x + (2 1/2 + 2x )] = -3 (x - 1 ) + 9
Answer:
x = 7/9 or 0.78 as a decimal
Step-by-step explanation:
have a nice day!! :)
What angle pair is pictured?
1)Alternate lantern angles
2)corresponding angles
3)same-side interior angles
4)Alternate exterior angles
Step-by-step explanation:
Alternate and corresponding angles.
Answer:
corresponding angles
Step-by-step explanation:
it has six points
it is a corresponding angles
In the triangle below, which equation can be used to solve for x?
Answer:
file?
Step-by-step explanation:
The volume (V) of a cube is 216 cubic Inches. What is the surface area (S) of the cube?
Answer:
216in^2
Step-by-step explanation:
6*6*6=216
side length is 6
6^2=36
36*6=216
Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.
When using the exponential DECAY formula, what would be the value of r?
Given:
The initial value of the car = $75,700
Decreasing rate = 4.3%
To find:
The value of r in the exponential DECAY formula.
Solution:
The exponential decay formula is:
[tex]y=a(1-r)^t[/tex]
Where, a is the initial value, r is the rate of decay on decimal and t is the time period.
The initial value of the car is $75,700 and its value decreases 4.3% annually. So,
[tex]a=75,700[/tex]
[tex]r=\dfrac{4.3}{100}[/tex]
[tex]r=0.043[/tex]
The required exponential decay formula is:
[tex]y=75,700(1-0.043)^t[/tex]
Therefore, the value of r in the exponential decay formula is 0.043.
Write an equation and solve.
How opd am I if 400 reduced by 2 times my age is 244?
Answer:
78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
Answer: 78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
SOMEONE PLEASE HELP I DONT HAVE MUCH TIME ILL MARK YOU BRAINLIST
7. The milligrams of aspirin in a person's body is given by the equation a = 500 - (3/4)
where t is the number of hours since the patient took the medicine.
b. In the equation, what does the 500 tell us about the situation?
c. In the equation, what does the tell us about the situation?
d. Graph the equation for values of t between 0 and 4.
Answer:
a. 281.25 grams
b. The 500 represent the original amount of aspirin.
c. 3/4 tells us what amount of the aspirin remains after every hour.
d's answer is in the picture. Just copy the line.
Step-by-step explanation:
A is the only part that needs any explanation.
Since the t represent hours, I'll subsititute t for 2.
500 * (3/4)²
3/4 squared is 9/16.
500 * 9/16
Multiply 500 by 9 to get 4500.
4500/16
Simplify 4500/16 to 1125/4 (4 is canceled out.)
1125/4
Divide 1125 by 4 to get 281.25
281.25
281.25 grams of aspirin will be in the patient body after two hours.
What is the area of the triangle?
Answer:
A = 6.36
Step-by-step explanation:
Tyler will dog sit for a fee of $16 then $4 for each hour, Katie will dog sit for a fee of $12 then $6 per hour. After how many hours (x) will Tyler and Katie charge the same amount (y)?
can you tell me the steps to follow in order to solve this plz.
Answer:
4 hours
Step-by-step explanation:
Because 12 by 8 =96$ and 16 by 6 is equal to 96 too
Exercise
1
Solve the inequality
of these equation
pretty please
Answer:
y<6
Step-by-step explanation:
1 /3 y + 1/4 > 3 /8y
1 /3 y + 1/4 − 3/ 8 y > 3/ 8 y − 3/ 8 y
− 1 /24 y + 1 4 > 0
−1 /24 y + 1 /4 − 1/ 4 > 0 − 1 /4
−1 /24 y > −1/ 4
Multiply both sides by 24/(-1).
y<6
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Can anyone please help me to do this with steps
9514 1404 393
Answer:
x = 45°
Step-by-step explanation:
We presume you want the measure of angle x.
Long arc BAD is intercepted by inscribed angle BCD and by inscribed angle BDE. Hence angle BDE has the same measure as angle BCD.
x + 70° = 115°
x = 45° . . . . . . subtract 70°
_____
It doesn't matter where point C is on short arc BD—the measure of angle C is the same regardless. This is still true even if point C moves to be on top of point D, so that angle BCD and angle BDE are indistinguishable.
Find the measure of x if the measure of arc DC= 95 degrees
Answer:
190 I think, if that’s one of your answer choices.
Step-by-step explanation:
The measure of x if the measure of arc DC= 95 degrees is: 47.5.
Measure of arc DCBased on the diagram, since the angle is half of the arc in order to determine the measure of x will would divide 95 degree by 2 .
Hence:
Measure of x= 95/2
Measure of x= 47.5
Inconclusion the measure of x if the measure of arc DC= 95 degrees is: 47.5.
Learn more about measure of arc DC here:https://brainly.com/question/15401736
how do i estimate 260000?
Answer:
260000
Estimate = 300000
please help me, if you can
Answer:
may be A?? i dont really know bt i think A
Answer: B
Step-by-step explanation:
First, let's take the point of the origin so (0,0).
Let's substitute it back into the equations:
0 is x, 0 is y
A: 0> -1 true
B: 0 ≥ -1 also true
C: 0 < -1 not true
D: 0 ≤ -1 not true
So now, for C and D the region containing the (0,0) is the unwanted region (shaded) because the inequality is not true.
However, the graph has the side with point (0,0) unshaded.
So we know that the answer is A or B.
In linear programming signs <> are expressed as dotted lines and ≤≥ as unbroken lines.
The graph has an unbroken line so answer B is correct as it has the sign ≥ (representing an unbroken line) and satisfies the inequality.
pls answer ASAP pls the quarter ends at 12:00
Answer:
55
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
your trying to make it equal, in order to do that you must do to the top what you did the bottom
11 = ?
20=100
to get from 20 to 100 you multiply by 5 so we multiply the top by 5 to make it equal
11/20x5/5=55/100
% of $10 = $3
help pls
Answer:
30%
Step-by-step explanation:
3/10=30/100 and 30/100 is the same as 30%
because %'s mean out of 100 so 30% means 30 out of 100 which can be simplified to 3 out of 10 or 3/10 (so its all equal)
Answer:
3%
Step-by-step explanation:
please please help please please help please please help please please help please please help
Boris starts to use the standard algorithm to solve 86\times986×986, times, 9. His work is shown below.
\begin{aligned} \overset{\blueD{y}}8\overset{}6&\\ \underline{{} \times \phantom{~~~~} 9}&\\ 4& \end{aligned}
Answer:
5
Step-by-step explanation:
You have to do 6×9 first and since that is a two digit number (gives 54), you have to bring the 5 up to the top in the place of y and add that to the product of the next two numbers you multiply.
please answer this question i will give you brainliest!!!!
Answer:
your answer will be 25 .....ok
Answer:
x = 25
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 3 when x = 15
3 = 15k ( divide both sides by 15 )
[tex]\frac{3}{15}[/tex] = k, that is k = [tex]\frac{1}{5}[/tex]
y = [tex]\frac{1}{5}[/tex] x ← equation of variation
When y = 5 , then
5 = [tex]\frac{1}{5}[/tex]x ( multiply both sides by 5 to clear the fraction )
25 = x
What is the area?Please i need help
Answer:
65
Step-by-step explanation:
Base by High
then divided by 2
which type of triangle has side lengths of 5 in, 6 in, and 7 in? A) acute B) equilateral C) obtuse D) right
Step-by-step explanation:
we know this is not equilateral and right because not equal in size and two side square is not equal to hypotenuse the ans is a or b
Anthony starts with $400 in his bank account. Over the course of a week, he withdraws $50, deposits $70, and withdraws $20. How much money is in his account?
show your work, please
Answer:
The answer is 400
Step-by-step explanation:
Withdraw means to take out, deposit means to put in. So you adding and subtracting all the numbers. 400-50+70-20= 400
What is the area of this regular polygon?
Answer:
A=25√3 cm^2
Step-by-step explanation:
Since it is a regular triangle, all sides are equal to 10cm. The dotted line is a perpendicular bisector, which means that it seperates the triangle into two perfect halves. So a right triangle is formed. The bottom of the right triangle will be half of 10, and 10/2=5. So to find the missing side, use the pythagoreom theorem.
5^2+x^2=10^2
25+x^2=100
x^2=75
x= 5√3
The height of the triangle is found, so apply the formula for area:
A=1/2*5√3*10
A=25√3
Debbie borrows $45, and then pays $5 back each week. She currently owes $20. What will the variable stand for?
Answer:
The variable would stand for the number of weeks that she has left to pay.
Answer: 12
Step-by-step explanation:
The volume of the geometric figure below is _______ cubic ft
Answer: Your answer in 840 cubic feets
Step-by-step explanation:
u solve the face on the bottom... base (10) times height (12) divide by two is 60. Then i multiply by the actual height which is 14 ft. 60 times 14 is 840.
If this helps plz mark me brainlest
Good luck :D
find the measure of the missing angle
Answer:
28 i think [⩾▾⩽]
Step-by-step explanation:
since this is a right angle, all you have to do is subtract 62 from 90 because a right angle is equal to 90 degrees.
hope this helps^^
have a great day :D
Identify the angle relationship. Which equation can be used to solve for x?
(4x + 1)
170
Answer:
680x + 170
Step-by-step explanation:
calculate the product
4[tex]x[/tex] x170 +170=
680x+ 170
Mary made two 8 ounce drinks each in a separate cup. The first cup has 4 ounces f coffee and four ounces of milk. The second cup has 6 ounces of coffee and 2 ounces of milk. After she stirred the two drinks really well, she took out a third cup that was empty. She poured 2 ounces from the first cup ad 4 ounces from the second cup into the third cup. How many ounces of coffee are in the third cup
Answer:
6 ounces
Step-by-step explanation:
First cup = 4 ounces of coffee + 4 ounces of milk
= 8 ounces drink
Second cup = 6 ounces of coffee + 2 ounces of milk
= 8 ounces drink
She poured 2 ounces from the first cup and 4 ounces from the second cup into the third cup.
Third cup = 2 ounces from the first cup + 4 ounces from the second cup
= 2 + 4
= 6 ounces drink
Ounces of coffee are in the third cup = 6 ounces
simplify
rewrite the expression in the form a^n
Plz help I need it!!!!!!!!!!!!
Answer:
114°
Step-by-step explanation:
[tex]? = \frac{1}{2} (53 \degree + 175 \degree) \\ \\ ? = \frac{1}{2} \times 228 \degree\\ \\ ? = 114 \degree[/tex]
solve this question step by step on paper
8.1÷4
Answer:
2.025
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/8.1%5Cdiv4%E2%80%8B