Answers
Answer: x = 8,-2
Step-by-step explanation:
x^2-6x-16=0
x =[ -(-6)+-sqrt(-6)^2 - 4x1x(-16)/2x1
x = [6+-sqrt 36+64]/2
x = 6+-sqrt 100/2
x = 6 +-10/2
x = 6+10/2, 6-10,2
x = 8, -2
Answer:
Step-by-step explanation:
This is the quadratic equation formula for the roots.
x^2 - 6x - 16 = 0
x = [- (-6) +/- √( (-6)^2 - 4*1*-16) / 2*1
x = (6 +/- √(36 + 64) / 2
x = (6 +/- √(100) / 2
x = (6 +/- 10) / 2
x = 16/2 = 8
x = -4/2 = -2
Related Questions
Does the set of numbers form a Pythagorean triple? Explain.
Answers
Explanation:
Pythagorean Triples are sets of whole numbers for which the Pythagorean Theorem holds true. The most well-known triple is 3, 4, 5. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.
Given 3x+y=1
Write the equation in general form Ax+By+C =0
3* -y+=0
-3x +y-1=0
3x-y=-1
Answers
QUESTION:- Given 3x+y=1
Write the equation in general form Ax+By+C =0
3x-y+1=0
-3x +y-1=0
3x-y=-1
[tex]3x + y - 1 = 0 \: \: ✔[/tex]
ANSWER:-
Equation-->[tex]3x + y = 1 [/tex]
Form of the given equation->
[tex]Ax + By = C[/tex]
so we need to change the side of the C !
while changing side of C we need to change the sign of C !
[tex] \bold{ \red{SO :- }}[/tex]
[tex]3 x + y = 1 \\ 3x + y - 1 = 0[/tex]
FORM OF THE RESULTED EQUATION:-
[tex]Ax + By + C = 0 \\
A = 3 \\ B = 1 \\ C = - 1[/tex]
Dominic is deciding if he should become a member of his local ice rink. The $144 annual membership fee at the ice rink includes admission and parking, members pay $4.00 per visit to rent ice skates. Non-members pay $11 admissions, $5.00 for parking and they also pay $4.00 per visit to rent ice skates. 1. When is it better to be a member? After 4 visits how much would each pay? Member: $_________ Non-Member: $__________ After 6 visits how much would each pay? Member: $_________ Non-Member: $__________
Answers
Answer:
1. members = $ 160 , non members = $ 80
2. members = $ 168 , non members = $ 120
Step-by-step explanation:
For members
Annual membership = $ 144
rent per visit charges = $ 4
For Non members
parking charges = $ 5
admission charges = $ 11
rent per visit = $ 4
(1) for 4 visits
Members pay = $ 144 + 4 x $ 4 = $ 160
Non members pay = 4 x $ 11 + 4 x $ 5 + 4 x $ 4 = $ 80
So, non member ship is better.
(2) for 6 visits
Members pay = $ 144 + 6 x $ 4 = $ 168
Non members pay = 6 x $ 11 + 6 x $ 5 + 6 x $ 4 = $ 120
So, non member ship is better.
The cost of one scooter is Rs.52,136. What is the cost of 34 scooters?
----------------------------------------------------------------------------------------------------------------------------
Rs.17,72,624
Rs.1,77,26,204
Rs.1,24,56,658
Answers
Answer:
Rs.1772624
Step-by-step explanation:
Multiply 52,236 by 34
pls help I'll mark brainliest
Answers
Answer:
305°
Step-by-step explanation:
The angle between the north line at L and the line connecting PL is
125° (75° + 50° ) ← alternate angle between parallel lines
Then
bearing of P from L is 180° + 125° = 305°
Please help me don’t have that much time please and thank you
Answers
[tex]f(x)=\frac{1}{9}x-2\\ take:\\x=f(x)^{-1}\\\\f(x)=X\\\\X=\frac{1}{9}f(x)^{-1}-2\\\\(X+2)9 =f(x)^{-1} \\\\f(x)^{-1}=9X+18\\[/tex]
Answer:
22
Step-by-step explanation:
ftrrrrgd fff fftttr fddd
Find the recursive formula -80, 20, -5
Answers
Answer:
[tex]a_{n}[/tex] = - [tex]\frac{1}{4}[/tex] [tex]a_{n-1}[/tex]
Step-by-step explanation:
The recursive formula lets us find a term in the sequence by multiplying the previous term by the common ratio r
Here r = [tex]\frac{20}{-80}[/tex] = [tex]\frac{-5}{20}[/tex] = - [tex]\frac{1}{4}[/tex]
Then recursive formula is
[tex]a_{n}[/tex] = - [tex]\frac{1}{4}[/tex] [tex]a_{n-1}[/tex]
9. Simplify by rationalising the denominator: 2+√3 2−√3 + 2−√3 2+√3 .
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { 14 }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{2 + \sqrt{3} }{2 - \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } [/tex]
[tex] \\= \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } [/tex]
[tex] \\= \frac{2 \: (2 + \sqrt{3} )+ \sqrt{3} \: (2 + \sqrt{3} )}{ ({2})^{2} - ({ \sqrt{3} })^{2} } + \frac{2 \: (2 - \sqrt{3} ) - \sqrt{3} \: (2 - \sqrt{3} ) }{ ({2})^{2} - ( { \sqrt{3} })^{2} } [/tex]
[tex]\\ = \frac{4 + 2 \sqrt{3} + 2 \sqrt{3} + 3 }{4 - 3} + \frac{4 - 2 \sqrt{3} - 2 \sqrt{3} + 3}{4 - 3} [/tex]
[tex]\\ = \frac{7 + 4 \sqrt{3} }{1} + \frac{7 - 4 \sqrt{3} }{1} [/tex]
[tex] \\= 7 + 4 \sqrt{3} + (7 - 4 \sqrt{3} )[/tex]
[tex] \\= 7 + 4 \sqrt{3} + 7 -4 \sqrt{3} [/tex]
[tex] \\= 14[/tex]
Note:[tex] (a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]
Can somebody help I’ll give brainless plss
Answers
Answer:
$93.22
Step-by-step explanation:
bill = $79
tip = 18%
tip amount = tip % of bill
=18/100 * $79
=$1422/100
=$14.22
total cost = $79 + $14.22
=$93.22
Answer:
93.22
Step-by-step explanation:
Find the amount of the tip
79*18%
79 * .18
14.22
Add this to the amount of the bill
79+14.22
93.22
Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?
A. SAS theorem
B. SSS theorem
C. AA postulate
D. Similarity cannot be determined.
Answers
Answer:
C
Step-by-step explanation:
AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.
The given triangles ΔABC and ΔLMN are similar by AA postulate.
What is a triangle?A triangle is a three sided polygon that consist of three edges and three vertices .
Here two given triangles are ΔABC and ΔLMN. In these two triangles ∠A=∠L=53° and ∠B=∠M= 72°.
Therefore, the two corresponding angles of triangles ΔABC and ΔLMN are equal . So the third angle of ΔABC is also equal to the corresponding angle of ΔLMN.
Hence two triangles are similar by AA postulate.
Thus two triangles are similar by AA postulate. So option (C) is correct.
To learn more about triagles click here:
https://brainly.com/question/24147586
#SPJ7
Can someone help me with this. Will mark brainliest. Thank you.
Answers
Answer:
∠SVU = 49°
Step-by-step explanation:
∠SVU is an inscribed angle and arc SU is the arc it intercepts
If you didn't know an inscribed angle is equal to half the measure of its intercepted arc.
Hence ∠SVU = arc SU / 2
if arc SU = 98
Then ∠SVU = 98/2 = 49
Please help me-
On a piece of paper, graph f(x) = {6 if -5 < x < -1
{4 if -1 < x < 2
{2 if 2< x < 5 .
Then determine which
answer choice matches the graph you drew.
Answers
Explanation:
You are basically graphing the three horizontal lines y = 6, y = 4 and y = 2; however, there are restrictions to each line.
The first line (y = 6) is only graphed when [tex]-5 < x \le -1[/tex]The second line (y = 4) is only graphed when [tex]-1 < x \le 2[/tex]The third line (y = 2) is only graphed when [tex]2 < x \le 5[/tex]That's how we get the staircase pattern as shown in graph A. This is considered a piecewise function since we're graphing pieces of various other functions.
Note the use of open holes vs closed circles for the endpoints. The open holes correspond to parts of the inequality that don't have "or equal to", which means we leave that part out of the graph. In contrast, the closed fill in circles do have "or equal to" associated with them, so we do include those endpoints.
Answer:
A
Step-by-step explanation:
(FIRST CORRECT FOR BRAINIEST) Solve for x
Answers
Answer:
x = 12
Step-by-step explanation:
Angles in a triangle add up to equal 180 degrees
Hence, 10x - 11 + 3x - 2 + 3x + 1 = 180
( note that we just created an equation that we can use to solve for x )
we now solve for x using the equation we created
10x - 11 + 3x - 2 + 3x + 1 = 180
step 1 combine like terms
10 + 3x + 3x = 16x
- 11 - 2 + 1 = -12
we now have 180 = 16x - 12
step 2 add 12 to each side
- 12 + 12 cancels out
180 + 12 = 192
we now have 192 = 16x
step 3 divide each side by 16
16x / 16 = x
192 / 16 = 12
we're left with x = 12
Answer:
x=12
the seniot math wiz already explained it correctly
Solve 4(x - 3) - 2x - 1) > 0
Answers
Answer:
x > 5.5
Step-by-step explanation:
4(x - 3) - (2x - 1) > 0
4x - 12 - 2x + 1 > 0
4x - 2x - 11 > 0
2x - 11 > 0
2x - 11 + 11 > 0 + 11
2x > 11
2x ÷ 2 > 11 ÷ 2
x > 5.5
Answer:
x>13/2
Step-by-step explanation:
4x-12-2x-1>0
2x-13>0
2x>13
X>13/2
find the value of x in the given right triangle 90 20. please help!
Answers
Answer:
X = 3.6
Step-by-step explanation:
tan x = O/A
tan 20° = x/10
x = tan 20°(10)
x = 3.6
Answer:
x = 3.6 cm
Step-by-step explanation:
Using trigonometric ratios :
[tex]sin \theta = \frac{ opposite} {hypotenuse} \\\\cos \theta = \frac{adjacent }{hypotenuse}\\\\tan \theta = \frac{opposite}{adjacent}\\\\[/tex]
[tex]where \ \theta = 20, \ opposite = x \ , hypotenuse = y \ , \ adjacent = 10cm[/tex]
[tex]we \ will \ take \ tan \ 20 , \ because\ we \ have \ to \ find \ opposite \ and \ adjacent \ is\ given.\\\\tan 20 = \frac{x}{10}\\\\x = 10 \times tan 20\\\\x = 10 \times 0.36397\\\\x = 3.6397\\\\x = 3.6 \ cm[/tex]
Determine the intercepts of the line.
y
=
11
x
+
6
Answers
Answer:
intercepts are (-6/11 , 0) and ( 6,0 )
find the value of 525²-475² using suitable identity
Answers
Answer to this question:
I think the answer is 3
find the unit rate of computers per day using the graph
Answers
Answer:
You need to look at the graph and find an ordered pair. Once you find an ordered pair divide the x value by the y value to get the unit rate.
Step-by-step explanation:
if I have a 94% in art class and I don’t do one of my assignments and get a 68 what will my grade drop down to?
Answers
Answer:
81
Step-by-step explanation:
It depends on how many different grades you have and the values of each one of them.
I don't have those things, so Ill just use average.
You'll have an 81
A 3 by 3cm grid shows nine 1 by 1 cm squares and uses 24cm of wire.
What length would the wire be for a similar 20 by 20cm sqaure
Answers
Answer:
840 cm
Step-by-step explanation:
Given that in the question we have, : 9, 1 cm × 1 cm squares setting a 3 × 3 grid.
Therefore wire required in 3 x 3 grid is
3(3+1) + 3(3+1)
= 3 × 4 + 3 × 4
= 24 I'm
Similarly, the length of the wire required in 20 by 20 grid will be
=> 20(20+1) + 20(20+1)
=> 20 × 21 + 20 × 21
=> 420 + 420
= 840cm
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
Answers
Explanation:
D = x
H = x + 5
R = 2x
Mean = (D + H + R)/3
= (x + x + 5 + 2x)/3
= (4x + 5)/2
change from improper fraction to mix number 51/7
Answers
Answer:
7 3/7
Step-by-step explanation:
Indicate the method you would use to prove the two A's =. If no method applies, enter "none".
O SSS
O SAS
O ASA
O AAS
ONone
Answers
Explanation: The two equal eachother, that would mean that the corresponding angles equal eachother as well as the other side length. Let me know if otherwise.
What is the inverse of the function f(x) = x +3?
Answers
Answer:
The inverse is x-3
Step-by-step explanation:
y = x+3
To find the inverse, exchange x and y
x = y+3
Solve for y
x-3 = y+3-3
x-3 =y
The inverse is x-3
Answer:
x - 3
Step-by-step explanation:
f(x) = x + 3
y = x + 3
x = y - 3
Inverse is h(x) = x - 3
Help y’all
Cross Sections of a Cone: Introduce possible cross sections of a cone. You need to show the shape of the cross section and how you cut the cone to get that shape. Please introduce at least THREE
Answers
A car is moving at a rate of 72 km/hr. How far does the car move when it stops after 4 seconds? anwer is 125m
please help me to solve it .l have been stuck here in this question for 2hrs.i am new and l need ur help
Answers
pls tell me the correct option
Answers
Answer: I would go with C I hope i am right!!
Step-by-step explanation:
Answer:
b. [tex] \frac{1}{16} [/tex]
Step-by-step explanation:
A = {2, 3}
B = {4, 6}
C = set of all possible fractions where, the numerators are in set A and the denominators are found in Set B
The 4 possible fractions we can get for set C are as follows:
Set C: { [tex] \frac{2}{4} [/tex] , [tex] \frac{2}{6} [/tex] , [tex] \frac{3}{4} [/tex] , [tex] \frac{3}{6} [/tex] }
Multiply all to get the product of all elements in Set C:
[tex] \frac{2}{4}*\frac{2}{6}*\frac{3}{4}*\frac{3}{6} [/tex]
Simplify where necessary
[tex] \frac{1}{2}*\frac{1}{3}*\frac{3}{4}*\frac{1}{2} [/tex]
[tex] \frac{1*1*3*1}{2*3*4*2} [/tex]
[tex] \frac{3}{48} [/tex]
Simply further
[tex] \frac{1}{16} [/tex]
PLEASE HELP
what is the amount of an investment $10,000 compounded quarterly for 3 years at a rate of 4 percent?
Answers
Answer:
10000 times 3 times 0.04 = 1200
Answer:
11268.25
Step-by-step explanation:
[tex]P(1+\frac{i}{n})^{n*t}=10000(1+\frac{.04}{4})^{4*3}=11268.2503[/tex]
If f(x) = x^3 + 2x^2-29x-30 and f(-6) = 0, then find all of the zeros of f(x) algebraically
Answers
Answer:
there are going to be three zeros.
x=-1
x=-6
x=5
Tiana has 8 purple daisies. In all, she counts 128 petals on all her flowers. If each flower has the same number of petals, how many petals are on one flower?
Answers
Answer:
the answer is 16 dividing 128 by 8 to get the petals in each flower.
Answer:
There are 16 petals per flower
Step-by-step explanation:
Take the number of petals and divide by the number of flowers
128/8
16
There are 16 petals per flower
