^Answer needed ASAP!
Solve x2-6x=-5 by completing the square. show ALL work
Answers
Have a nice day, be safe and healthy :)
Hope this helped
formula:
(a+b)^2
= a^2+2ab+b^2
Here, we have x^2 (as in a^2)
and -6x (as in 2ab), which, we're missing the b^2
(I'm not really sure how to describe this but bare with me)
-6/2 (-6 is from the -6x) = -3 (the b)
-3^2 = -3*-3 which is equal to 9 (positive 9)
Writing it out -
x^2-6x+9 = -5
- Addition of inequality -
Since we add 9 to the left side, we have to add 9 to the right side; which gives us:
x^2-6x+9=4
Next, lets put the x^2-6x+9 as in (a+b)^2:
(x-3)^2 = 4
Then let's do the square root of equality (square rooting both sides) :
x-3 = 2
Finally lets add 3 to both sides
x = 5
THE ANSWER IS x=5
Have a nice day, be safe + healthy - Hope this helped
Related Questions
Find the equation of a line that is parallel to y=x+3 and passes through the point (-2,-4)
Answers
Answer:
y = x - 2
Step-by-step explanation:
y + 4 = 1 (x + 2)
y + 4 = x + 2
y = x - 2
Explain the students mistake
Answers
12n+6n+4=-14-4
18n=-18
n=-1
Answer:
The student was supposed to multiply 4(1+5n) to equal 4+20n instead she forgot to multiply 5n and put 4+5n.
Step-by-step explanation:
-8n + 4(1 + 5n) = -6n -14
-8n + 4 + 20n = -6n -14
12n+4 = -6n -14
+6n +6n
18n +4 = -14
-4 -4
18n= -18
n = - 1
PLEASE ANSWER ASAP!! GOOD 20 POINTS
Answers
Answer:
43
Step-by-step explanation:
Let's plug in 105 for v. We get 105 = 30[tex]\sqrt[3]{t}[/tex].
3.5 = [tex]\sqrt[3]{t}[/tex]
t = 43 seconds
Sally has 4 red socks, 6 white socks, and 2 pink socks in her drawer. She
randomly pulls a red sock out of the drawer. Then she randomly pulls out
another sock from a drawer.
a) What is the probability that Sally pulls out a red sock?
b) What is the probability that Sally pulls out a sock that is not red?
c) Are the events described in a) and b) complementary? Explain.
Answers
A) 1/3
B) 2/3
C) Yes because 1/3+2/3=1 but if it was 1/3 and 1/3 it would not be complementary
Find the solution set of the inequality
14-3x<-1
Answers
Answer:
x > 5
Step-by-step explanation:
(05.03 MC)
Look at the figure below:
Triangles ABC and BDC have a common base BC. E is the point of intersection of BD and AC. AE equals EC and ED equals BE.
Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? (1 point)
Triangle ABE and triangle CBE
Triangle AEB and triangle CED
Triangle BEC and triangle DEC
Triangle ABC and triangle DCE
Answers
Answer:
Triangle AEB and triangle CED2nd answer is correctStep-by-step explanation:
AE = EC (side)
BE = ED( side)
AEB angle = DEC angle( angle)
Triangle AEB and triangle CED ( SAS)
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
B- Triangle AEB and triangle CED
Step-by-step explanation:
I took the test and it was correct
Photo is above need help no work needed just the answer thank you
Answers
Answer:
D is the correct answer
Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage. How much additional money does she need to bring to closing
Answers
Answer:
$2,980
Step-by-step explanation:
Mortgage points is a term used by a mortgage brokers and it is usually referred to the percentage of the loan amount.
From the given question:
Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage
the 2 points that Felicia purchased is equivalent to 2% i.e 0.02 points
Thus; the additional money she need to bring to closing is calculated by the formula:
cost = points × loan amount
= 0.02 × $149,000
= $2,980
12 = 6(n – 7)
Solve 2 -step equation
Answers
Answer:
9 = n
Step-by-step explanation:
12 = 6(n – 7)
Divide by 6 on both sides
12/6 = 6/6(n – 7)
2 = n-7
Add 7 to each side
2+7 = n-7+7
9 = n
Answer:
9 = n
Step-by-step explanation:
12 = 6(n – 7)
12 = 6n - 42. Use the distributive property
12 = 6n - 42
+42. +42. Inverse operations
54 = 6n
÷6. ÷6
9 = n
We can find the roots of a quadratic function by looking at where it intercepts the x-axis. If a graph is entirely above the x-axis and never intersects it, what would you infer about the roots of the function?
Answers
Answer:
It doesn't have any roots
Step-by-step explanation:
If the parabola doesn't intersect the x-axis, then there are no solutions to the equation.
1) - 3 = -11
2) 4 (g – 1) = 24
3) = 0
4) - 40 = 12x + 8
5) - 2p – 3 = -19
6) 13 =
7) - 9 = - 11 +
8) Challenge!!
2q + 10 = 7q
9) d + = -
10) 5 - u =
11) - m - = - 10
12) = + 9q
13) 2 = +
14) c - = c
15) ( w - ) =
16) + 5 = 2
17) - p + = - 3p
18) - 2 n - = - 1
Answers
Answer:
1. −3≠−11 (false)
2. g=7
4. x=−4
5. p=8
7. + 2
8. q = 2
10. =−u+5
16. 5≠2 (false) or
'-3' because -3 + 5 = 2
sorry not sure how to do the others :(
There are six clearly distinguishable frogs sitting in a row. Two are green, three are red, and one is blue. Green frogs refuse to sit next to the red frogs, for they are highly poisonous. In how many ways can the frogs be arranged?
Answers
Answer:
i believe it is 18
Step-by-step explanation:
green1 green2 blue red1 red2 red3
green2 green1 blue red1 red2 red3
green1 green2 blue red2 red1 red3
green2 green1 blue red2 red1 red3
green1 green2 blue red3 red2 red1
green2 green1 blue red3 red2 red1
green1 green2 blue red1 red3 red2
green2 green1 blue red1 red3 red2
red1 red2 red3 blue green1 green 2 everthing above but this way
Answer:
24
Step-by-step explanation:
Use long division to find the quotient below
Answers
Answer:
[tex]4x^2-2x+6[/tex]
Step-by-step explanation:
I did it on paper
[tex](8x^3+20x^2+36)/(2x+6)=4x^2-2x+6[/tex]
Eric's income puts him in the second tax bracket (15%) last year. During the same year, he earned $515 in dividends and $65 in coupons on a municipal bond. In March, he purchased a common stock for $200. He sold the same stock six months later for $915. What is the total Eric will pay in taxes on last year's investments?
Answers
Answer: $184.50
Step-by-step explanation:
Eric’s income puts him in the second tax bracket which has 15%, tax rate.
Eric has the following income-
Income from dividends = $515 what ch is (taxed at 15%)
Therefore; tax on dividend income = $515 * 15%
= $515 × 15/100
= $515 × 0.15
= $77.25
The Income from municipal bonds = $65 (Not taxed)
The income from sales of stock (capital gain)= $915 - $200 = $715 (This is held for less than 1 year therefore it is taxed as ordinary income at 15% tax rate)
Therefore,the tax on the short-term capital gain
= $715 * 15%
= $715 × 0.15
= $107.25
Therefore the total amount Eric will pay in taxes on last year’s investment will be:
= tax on dividend income + the tax on short-term capital gain
= $77.25 + $107.25
=$184.50
Answer:
$107.25
Step-by-step explanation:
I just took the quiz ehehe
6:
A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. There were twice as many balcony tickets sold as gallery tickets, and 225 more main floor tickets than balcony tickets. If g represents the number of gallery tickets sold, which expressions represents this situation?
A
Gallery: g
Balcony: g
Main Floor: g + 225
B
Gallery: g + g + 225
Balcony: 2g
Main Floor: g
C
Gallery: g
Balcony: g + 225
Main Floor: 2g + 225
D
Gallery: g
Balcony: 2g
Main Floor: 2g + 225
Answers
Answer:
D) gallery: g
balcony: 2g
main floor: 2g + 225
Step-by-step explanation:
What can we say about U?
Answers
Answer:
U=2
Step-by-step explanation:
or U is 2 points to the right of T?
Answer: u=2
Step-by-step explanation:
Or is it going by .5
Wendy had 1/2 of her birthday cake left over, so she decided to take it to work.
She shared her cake equally amongst herself and five of her coworkers. What
fraction of the birthday cake does each person get?
Answers
Answer:
1/12
Step-by-step explanation:
1/2 divided by 6
that way her and her 5 workers each get the same amount of cake
1/12
Step-by-step explanation:
1/2/6=1/12
Given GH is tangent to ⊙T at N. If m∠ANG = 54°, what is mAB ? A circle with centre T is given. GH is tangent to the circle which touches the circumference of the circle at point N. From N, a diameter NTB is drawn. A chord AN is also given, this chord forms an acute angle with tangent. mAB = 72 °
Answers
Answer:
mAB=72°
Step-by-step explanation:
Theorem:The angle between a Tangent and a Radius is 90 degrees.
Applying the above theorem therefore:
∠ANG+∠ANB=90°
54°+∠ANB=90°
∠ANB=90°-54°
∠ANB=36°
Now, Inscribed Angle=[tex]\frac{1}{2}[/tex] of the measure of the arc
Therefore:
36°=[tex]\frac{1}{2}X[/tex] mAB
mAB=36*2=72°
The measure of arcAB is 72 degrees
Circle geometryAccording to the theorem, the angle between a Tangent and a Radius is 90 degrees.
Applying the above theorem, therefore:
∠ANG+∠ANB=90°
54°+∠ANB=90°
∠ANB=90°-54°
∠ANB=36°
Since inscribed angle = of the measure of the arc
Therefore:
36°= mAB
mAB=36*2=72°
Hence the measure of arcAB is 72 degrees
Learn more on circle geometry here: https://brainly.com/question/24375372
Would simplifying affect the inequality?
3x < 7+3
What would be the simplified form or the next step?
Answer yes or no, simplified form written
Answers
Answer:
Simplifying would not affect the inequality, because you are still saying the same thing just in a different way
Step-by-step explanation:
the next thing you would have to do would be to add 7+3 which gives you 10 and then divided 3x by 3x and 10 by 3x and badaboom there's your answer
Anyone knows the answer of this
Answers
Answer:
La= 5x
Lb= -8x
Answer:
Step-by-step explanation:
i hope my answer helped u
Someone help me please?!
Answers
Answer:
13
Step-by-step explanation:
Mark me as brainliest
Try It!
Find the length of a 100-yard football field in meters. Use 1 yard = 3 feet
and 1 meter = 3.28 feet. Round to the nearest tenth.
Answers
Answer:
91.46m
Step-by-step explanation:
The length of 100 yard football field in meters.
From the dimension given,
1 yard = 3 feet
Therefore,
100 yard = x feet
1 yard = 3 feet
100 yard = x feet
X = (100 × 3) / 1
X = 300 feet.
But,
1 metre = 3.28feet
X metre = 300 feet
X = (300 × 1) / 3.28
X = 91.46m
Therefore, 100 yard football field is equal to 91.46m
I’m taking an L someone help
Answers
Answer:630
Step-by-step explanation:
Answer:
gg hope that L goes goof for you
Step-by-step explanation:
69 420
Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. a = 9, c = 15
1) 15
2) 11
3) 14
4) 12
Answers
Ur welcome
PLEASE HURRY IM IN A RUSH!!!!!!! 100 POINTS!
Which equation represents the function graphed on the coordinate plane? g(x) = |x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1
Answers
Answer:
If i am right it has to but has to be -11
Find two numbers A
and
B
whose sum
a
+
b
is
−
3
, and whose difference
a
−
b
is
−
7
.
Your answer is
a=
b=
Answers
Answer:
the following is the answer , a is -5, b is 2
Sam is fencing in his property. The length is 12 feet less than twice the width. If the total amount of fence needed is 216 feet, what is the length of the property? blank feet
Answers
Answer:
L = 68 ft
Step-by-step explanation:
To find the perimeter of something you need to add up all the sides
In this case I am assuming Sam's property is a square/rectangle
Which means the formula for the perimeter is P = 2L + 2WIf L = 2W - 12 and P = 216, we can use these values and plug them into our perimeter equation to solve for w and then solve for l
216 = 2(2W -12) + 2W → ditributing the 2 to the (2w - 12) gives us 216 = 4W - 24 + 2W → combing like terms gives us216 = 6W - 24 → adding 24 to both sides gives us 240 = 6W → dividing both sides by 6 gives us40 ft = WWith the width being solved, we can now plug that value into our length equation
L = 2(40) - 12 → distributing the 2 to the 40 gives usL = 80 - 12 → combing like terms give usL = 68 ftIf T=[23 -38]
[17. -6 ] then what is -10(T)
Answers
Answer:
B
Step-by-step explanation:
Multiply each term by -10
which equation correctly shows how to determine the distance between the points (9, -2) and (6, 3) on a coordinate grid? (Hurry I will mark brainliest)
Answers
Answer:c
Step-by-step explanation:
Given
Two points are given [tex](9,-2)[/tex] and [tex](6,3)[/tex]
We know distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Distance [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting values we get
[tex]d=\sqrt{(6-9)^2+(3-(2))^2}[/tex]
[tex]d=\sqrt{(-3)^2+(5)^2}[/tex]
[tex]d=\sqrt{9+25}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6\ units[/tex]
Thus option c is correct
Which statements are true regarding undefinable terms in geometry? Check all that apply.
Answers
Answer:
A point has no length or width.
A point indicates a location in a coordinate plane.
A plane consists of an infinite set of lines.
A line consists of an infinite set of points.
Step-by-step explanation:
True : A point has no length or width. A point in geometry is a location.
True: A point indicates a location in a coordinate plane.
False: A plane has one dimension, length. A plane has two dimensions.
False: A line has a definite beginning and end. A line goes on forever in both directions so it has infinite length.
True: A plane consists of an infinite set of lines. A plane is a flat surface extending indefinitely in all directions.
True: A line consists of an infinite set of points.A line is a connected set of infinitely many points