Step-by-step explanation:
[tex] \\ x ^{2} - 6x = - 156 \\ x ^{2} - 6x + 9 = - 147 \\ (x - 3) ^{2} = - 147[/tex]
The completing the square for the given equation is (x-3)²= -147.
What is completing square method?Steps
Step 1: Divide all terms by a (the coefficient of x2).
Step 2: Move the number term (c/a) to the right side of the equation.
Step 3: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
The given equation is x²-6x=-156.
By completing square method,
b/2 = -3
⇒ (b/2)²=9
Now, add and subtract 9 to x²-6x=-156, we get
x²-6x+9-9=-156
⇒ (x-3)²=-156+9
⇒ (x-3)²= -147
Therefore, the completing the square for the given equation is (x-3)²= -147.
Learn more about the completing square method here:
https://brainly.in/question/1112385.
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In what country would one be able to see a fjord? A. Argentina B. Suriname C. Colombia D. Brazil
Answer:
Argentina
Step-by-step explanation:
this is the correct answer
Answer this correctly and get brainliest. Answer correctly please and thank you.
Answer:
B and D
Step-by-step explanation:
40/1000 is equal to 4/100 which is 4% ._. not correct
50/33 is equal to 1 17/33 which like 1.5151515151515...
1/3 is equal to 33.3333333333%
or 0.33333333333333....
Cary is having a party and can only afford to spend no more than $40 on food. She wants to order at least 3 pizzas which cost $6 a pie, and at least 2 orders of wings that cost $8 per order. Select all the inequalities she would have to graph to determine how many pizzas and wings she could order. Let x stand for the number of pizzas and y stand for the number of wings.
y ≥ 2
x ≥ 3
3 x + 8 y ≤ 40
6 x + 8 y ≤ 40
x ≤ 3
y ≤ 2
((You can select more than one))
Answer:
A. B. and D.
Step-by-step explanation:
Use f(x)=-4x+1, g(x)=x^2-8x+21, and h(x)=║9-3x║ for these equations.
Find g(-5)
Find g(x+4)
If f(x)=53, find x.
Step-by-step explanation:
For each problem, plug in the values, then simplify.
g(x) = x² − 8x + 21
g(-5) = (-5)² − 8(-5) + 21
g(-5) = 25 + 40 + 21
g(-5) = 86
g(x) = x² − 8x + 21
g(x+4) = (x+4)² − 8(x+4) + 21
g(x+4) = x² + 8x + 16 − 8x − 32 + 21
g(x+4) = x² + 5
f(x) = -4x + 1
53 = -4x + 1
52 = -4x
x = -13
PLEASE HELPPPP!! The options are
DC= AB
AC=AC
Answer:
the 1st one
Step-by-step explanation:
because A<C are the only angle ur missing.
Answer:
DC ≅ AB
Step-by-step explanation:
Because AC ≅ AC is given, I'm gonna assume its DC ≅ AB
I know kind of weird that I'm gonna have to assume when I've given 148 answers and I'm of the rank expert, however I looked at that triangle and all of those answers are correctly proving congruence, so it makes no sense to mark you wrong because technically ALL of the sides are given
Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.
How could a conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet? (1 foot = 0.305 meters)
Answer: 4.1 feet : 4 feet
Step-by-step explanation:
From the question, we are informed that Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.
The conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet goes thus:
Since 1 feet = 0.305 meters
2.5 meters will be = 2.5/0.305 = 8.2 feet
Therefore the conversion ratio will be:.
= 8.2 : 8
Reducing to lowest term will be
= 4.1 feet : 4 feet.
= 4.1 : 4
What is the slope of this line?
Answer:
1/5
Step-by-step explanation:
Up 1, over 5
solve the following equation.
8(5-6v)= - 7 - v
Answer:
1=v
Step-by-step explanation:
40-48v=-7-v
+48v +48v
_____________
40=-7+47v
+7 +7
_____________
47=47v
÷47 ÷47
____________
1=v
Hope this helps :3
Someone please answer this! Someone that is very good at math. Please, I will appreciate it.
If angle A and angle B are Complementary Angles and the m
Answer:
supplementary
Step-by-step explanation:
can someone plz plz plz help me
Answer:
Definition of exterior lines. : lines of operations of one or more armed forces converging upon a centrally situated opponent.
Step-by-step explanation:
what is 111 × 111 ÷ 14
Answer:
880.071428571
Step-by-step explanation:
You could use a calculator btw but its ok happy to help :D
if you have s3x 365 times how much is it a day?
this was from my math book
Answer:
Okay first okay this was not from your math book people actually need help on questions and here you are.
Step-by-step explanation:
Help with this math Please and I appreciate it so much if u did
Answer:
1.x+6
2.3.3c --8.2
3.11x -- 1/4
4.9x+5
5.x+14.4/2
Step-by-step explanation:
Find one or more sequences of rigid motions and dilations that will map ABC to DEF Often, there is more than one sequence that will
nap a prelmage to a similar image. The table below provides spaces for two different sequences.
Begin by setting the scale factor of each dilation equal to the ratio you computed in question 1. Then find the rigid transformations needed to
complete the mapping Perform the transformations in GeoGebra to check your sequences.
Answer:
see photo attached
Step-by-step explanation:
edmentum/plato
Answer:
1. reflect abc across y-1, reflect the image across x=4, translate the image 2 units to the right and 0.5 units up rotate the image 90 degrees counter clockise about point D, dilate the image with respect to point d by a sale facter of 1.5
2.translate abc 6 units to the right and 3.5 units down, dilate the image with respect to point 8 by a scale factor of 1.5, rotate the image 90 degrees clockwise about point b
Step-by-step explanation:
im saving you the typing time :)
HELPPP
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
Answer:
HL (Hypotenuse Leg)
Step-by-step explanation:
You have BC=CD (Because of reflexive property), AC=DC, and measure of BAC is equal to the measure of BDC, which is 90 degrees. Since these triangles are right and they have a hypotenuse and a leg congruent, you can say that they are congruent because of HL.
Help ASAP plsssssssssssssssssssssss
Answer:
Step-by-step explanation: idk
Answer:
5/18
Step-by-step explanation:
you start by multiplying the fraction and getting 25/90 then simplify by dividing the numerator and denominator by 5.
Casey is making a flower arrangement with roses r and carnations c the cost of each rose is $0.50 and the cost of each carnation is $0.10 . the arrangement has a total $20. how many of each flower did Casey put in his arrangement
Answer:
r+c=80
.50r+.10c=20
Step-by-step explanation:
each rose costs $0.50
each carnation costs $0.10
The number of roses is r, and the number of carnations is c.
the arrangement has a total of 80 flowers, so we have that:
r + c = 80
the cost is $20, so we have:
r*0.5 + c*0.1 = 20
so our system of equations is:
r + c = 80
r*0.5 + c*0.1 = 20
and we can also solve it; for this isolate one of the variables in the first equation:
r = 80 - c
now let'r replace this in the second equation:
(80 - c)*0.5 +c*0.1 = 20
40 - c*0.4 = 20
c = 20/0.4 = 50
this means that we have 50 carnations, and the other 30 are roses.
i was so lost that i almost forgot the answer was in my face
hope this help shawty
Help me pleaseeeeee!!!!
Answer: <5 is congruent to <6 and <1 is congruent to <2. A) and C)
Write a system of equations that has a sum of 1 and a difference of 9
Answer:
1 + 0 = 1
100 - 91 = 9
Step-by-step explanation:
Isaac and Shonda can rent a canoe for $12 per hour and a mountain bike for $9 per hour. Together, they have $138 to spend. Let c represent the number of hours a canoe is
rented and let m represent the number of hours a mountain bike is rented. Which inequality can Isaac and Shonda use if they decided to rent a canoe and two mountain bikes?
Answer:
12c + 9m ≤ 138
Step-by-step explanation:
Answer:b. 12c+9m less than or equal to 138
Step-by-step explanation:
Susan owes $15,000 in student loans. She pays $150 toward the debt every month. Represent the total amount that she owes as a function of months (x) after each payment?
Answer:
f(x) = 15000 - 150x
Step-by-step explanation:
Given that:
Initial Amount owed = $15000
Amount payed towards debt per month = $150
Total amount owed as a function of month(x) after each payment :
F(x) = Initial amount owed - (amount paid per month * number of month)
Let number of month = x
f(x) = 15000 - 150x
Hence, the function ;
f(x) = 15000 - 150x represents the total amount owed after each payment.
I need help with these
Answer:
Step-by-step explanation:
5) -7 (-15w + 21) + 3(18 - 27w)
Step 2: 105w - 81w - 147 + 54
6)
step 3: 24w - 93
Is -7 greater or less than 15,771??
Answer:
less
Step-by-step explanation:
One tub of dried cranberries costs $4. How many tubs can you buy for $12?
Answer:
3
Step-by-step explanation:
girl honestly how does this question even come up
anyways you do 12 divided by 4 to get 3
4. Round to the nearest hundredths
11.658
Answer:
11.758
Step-by-step explanation:
Answer:
12.000
Step-by-step explanation:
HELP ASAP PLEASE
Given that these two triangles are similar, what is the measure of A?
A)20°
B)35°
C)55°
D)90°
There are 3 girls and 4 boys taking music lessons. Write the ratio that compares the number of boys taking music lessons to the total number of students taking music lessons. *
Answer:
4;7
Step-by-step explanation:
A drill is used to dig down into the earth. After 2 hours, the drill is 12 meters below the surface. After 5 hours, the drill is 30 meters below the surface. Which equation represents the depth of the drill in meters, y, after x hours of drilling?
Answer:
6y = x
Step-by-step explanation:
All that equation is saying is that for every 1 hour drilled (x), 6 meters (y) are drilled.
y = distance in meters
x = time
12y = 2x
12y/2 = 2x/2
6y = x
30y = 5x
30y/5 = 5x/5
6y = x
The equation representing the depth of the drill in meters, y, after x hours of drilling is y = -6x
Since the slope is 3, hence it passes through the point (-4.67, 0). Hence the equation of the line is y = 3x + 14.
A linear equation is in the form:
y = mx + b;
where m is the slope, b is the y intercept and y, x are variables.
Let y represent the depth of drill in meters after x hours of drilling. Hence:
Since after 2 hours, the drill is 12 meters below the surface, it can be represented by (2, 12). Also after 5 hours, the drill is 30 meters below the surface, it can be represented by (5, 30)
The equation of the line is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\\\y-(-12)=\frac{-30-(-2)}{5-2}(x-2) \\\\y+12=-6(x-2)\\\\y+12=-6x+12\\\\y=-6x[/tex]
The equation representing the depth of the drill in meters, y, after x hours of drilling is y = -6x
Find out more at: https://brainly.com/question/19426333
Therefore the graph is attached below.
Find out more at: https://brainly.com/question/13911928
PLs help me!!
I'll mark you y'all brainliest!!
Answer:
There are 6 divisions once you change it to add 5/6 on the line!
Step-by-step explanation:
Hope this helps!
Write an
explicit formula for An, the nth term of the sequence 15, 8, 1, ....
Answer:
b(n) = 15 - 7(n - 1)
Step-by-step explanation:
15 is the y-intercept
-7 is the slope
Answer:
[tex]a_{n}[/tex] = 22 - 7n
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
8 - 15 = 1 - 8 = - 7
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 15 and d = - 7 , then
[tex]a_{n}[/tex] = 15 - 7(n - 1) = 15 - 7n + 7 = 22 - 7n ← explicit formula